Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho |
|
2009
|
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2016
|
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2013
|
Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2016
|
The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350
Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi |
|
2015
|
First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119
Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F. |
|
1994
|
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William |
|
2015
|
Finite volume methods for convection-diffusion problems. Zbl 0847.65075
Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S. |
|
1996
|
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2019
|
Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108
Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D. |
|
1994
|
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113
Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2015
|
A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. |
|
1997
|
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi |
|
2015
|
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg |
|
2012
|
Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. |
|
2004
|
Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050
Ewing, Richard; Lazarov, Raytcho; Lin, Yanping |
|
2000
|
Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi |
|
2014
|
Superconvergence of the velocity along the Gauss lines in mixed finite element methods. Zbl 0733.65065
Ewing, R. E.; Lazarov, R. D.; Wang, J. |
|
1991
|
Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111
Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi |
|
2016
|
A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2016
|
Local refinement techniques for elliptic problems on cell-centered grids. I: Error analysis. Zbl 0724.65093
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. |
|
1991
|
Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199
Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. |
|
2013
|
Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 1513.65132
Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. |
|
2018
|
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263
Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. |
|
2006
|
Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129
Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. |
|
2001
|
A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494
Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D. |
|
2005
|
Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052
Ewing, R. E.; Lazarov, R. D.; Lin, Y. |
|
2000
|
Superconvergence analysis of approximate boundary-flux calculations. Zbl 0797.65079
Pehlivanov, A. I.; Lazarov, R. D.; Carey, G. F.; Chow, S. S. |
|
1992
|
Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112
Carstensen, C.; Lazarov, R.; Tomov, S. |
|
2005
|
Finite difference scheme for parabolic problems on composite grids with refinement in time and space. Zbl 0817.65071
Ewing, Richard E.; Lazarov, Raytcho D.; Vassilev, Apostol T. |
|
1994
|
Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. |
|
2009
|
Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems. Zbl 1075.65136
Andreev, A. B.; Lazarov, R. D.; Racheva, M. R. |
|
2005
|
Finite difference schemes on triangular cell-centered grids with local refinement. Zbl 0813.65115
Vassilevski, P. S.; Petrova, S. I.; Lazarov, R. D. |
|
1992
|
Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. |
|
2006
|
Variational multiscale finite element method for flows in highly porous media. Zbl 1244.76024
Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg |
|
2011
|
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. Zbl 07505620
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph |
|
2020
|
Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079
Vassilevski, Panayot S.; Lazarov, Raytcho D. |
|
1996
|
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197
Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke |
|
2015
|
Parabolic finite element equations in nonconvex polygonal domains. Zbl 1108.65097
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B. |
|
2006
|
Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. Zbl 1079.65109
Chatzipantelidis, P.; Lazarov, R. D. |
|
2005
|
Superconvergence of the gradient for quadratic triangular finite elements. Zbl 0644.65082
Andreev, A. B.; Lazarov, Raičo D. |
|
1988
|
A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172
Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi |
|
2016
|
Numerical well model for non-Darcy flow through isotropic porous media. Zbl 0964.76041
Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan |
|
1999
|
A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. Zbl 0999.65112
Ewing, R.; Iliev, O.; Lazarov, R. |
|
2001
|
Least-quares for second-order elliptic problems. Zbl 0944.65119
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. |
|
1998
|
Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. |
|
2001
|
A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. Zbl 1014.65116
Lazarov, Raytcho; Tomov, Stanimire |
|
2002
|
Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. Zbl 1380.65376
Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil |
|
2016
|
Application of exact difference schemes for construction and investigation of difference schemes for generalized solutions. Zbl 0494.65055
Lazarov, R. D.; Makarov, V. L.; Samarskij, A. A. |
|
1982
|
Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. Zbl 0705.65080
Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S. |
|
1990
|
Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451
Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K. |
|
2009
|
Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112
Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. |
|
2000
|
Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044
Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho |
|
1998
|
Finite difference schemes on grids with local refinement in time and space for parabolic problems. I: Derivation, stability, and error analysis. Zbl 0721.65047
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. |
|
1990
|
On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197
Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi |
|
2017
|
Parabolic finite volume element equations in nonconvex polygonal domains. Zbl 1168.65051
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. |
|
2009
|
A simplified method for upscaling composite materials with high contrast of the conductivity. Zbl 1202.80025
Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, Joerg |
|
2009
|
A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105
Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke |
|
2015
|
Superconvergence of the gradient of linear finite elements for 3D Poisson equation. Zbl 0672.65088
Kantchev, Vesselin; Lazarov, Raitcho |
|
1986
|
Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). Zbl 1429.65064
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph |
|
2019
|
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi |
|
2018
|
Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079
Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.; Shen, Y. |
|
1993
|
Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088
Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho |
|
1996
|
Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements. Zbl 0835.65105
Ewing, R. E.; Lazarov, R. D. |
|
1993
|
A survey on numerical methods for spectral space-fractional diffusion problems. Zbl 1474.65438
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar |
|
2020
|
Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035
Lazarov, Raytcho; Ye, Xiu |
|
2007
|
On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems. Zbl 1142.74386
Ewing, Richard E.; Iliev, Oleg P.; Lazarov, Raytcho D.; Naumovich, Anna |
|
2007
|
Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun |
|
2012
|
Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. |
|
1997
|
Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E. |
|
2020
|
Some error estimates for the lumped mass finite element method for a parabolic problem. Zbl 1251.65129
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. |
|
2012
|
Numerical solution of fractional diffusion-reaction problems based on BURA. Zbl 1452.65060
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho |
|
2020
|
Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099
Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg |
|
2010
|
Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. Zbl 0726.65137
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. |
|
1991
|
On the balancing principle for some problems of numerical analysis. Zbl 1129.65041
Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V. |
|
2007
|
Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. Zbl 0840.65124
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. |
|
1994
|
Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248
Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D. |
|
2012
|
Dynamic data driven simulations in stochastic environments. Zbl 1122.65006
Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R. |
|
2006
|
Natural and postprocessed superconvergence in semilinear problems. Zbl 0746.65078
Chow, S.-S.; Carey, G. F.; Lazarov, R. D. |
|
1991
|
Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems. Zbl 0719.65024
Ewing, Richard E.; Lazarov, Raytcho D.; Lu, Peng; Vassilevski, Panayot S. |
|
1990
|
Geometric multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: a numerical study. Zbl 1381.76179
Kanschat, Guido; Lazarov, Raytcho; Mao, Youli |
|
2017
|
A numerical study of the homogeneous elliptic equation with fractional boundary conditions. Zbl 1364.65253
Lazarov, Raytcho; Vabishchevich, Petr |
|
2017
|
Some error estimates for the finite volume element method for a parabolic problem. Zbl 1285.65059
Chatzipantelidis, Panagiotis; Lazarov, Raytcho; Thomée, Vidar |
|
2013
|
Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi |
|
2013
|
Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076
Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. |
|
1993
|
Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114
Lazarov, R.; Tomov, S.; Vassilevski, P. |
|
2001
|
Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. Zbl 1047.76061
Lazarov, R. D.; Tomov, S. Z. |
|
2001
|
Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115
Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A. |
|
1996
|
Local superconvergence analysis of the approximate boundary-flux calculation. Zbl 0737.73094
Lazarov, R. D.; Pehlivanov, A. I. |
|
1990
|
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103
Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S. |
|
2003
|
On the convergence of difference schemes for the approximation of solutions \(u\in W^ m_ 2 (m>0.5)\) of elliptic equations with mixed derivatives. Zbl 0525.65069
Lazarov, Rajčo D.; Makarov, Vladimir L.; Weinelt, Wilfried |
|
1984
|
On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. Zbl 1032.65045
Lazarov, Raytcho D.; Margenov, Svetozar D. |
|
2003
|
Modeling and simulation of pollutants transport in rivers. Zbl 1126.92053
Kachiashvili, K.; Gordeziani, D.; Lazarov, R.; Melikdzhanian, D. |
|
2007
|
Adaptive techniques for time-dependent problems. Zbl 0788.65096
Ewing, R. E.; Lazarov, R. D.; Vassilev, A. T. |
|
1992
|
Approximation of parabolic problems on grids locally refined in time and space. Zbl 0811.65080
Ewing, R. E.; Lazarov, R. D. |
|
1994
|
Mixed FEM for second order elliptic problems on polygonal meshes with BEM-based spaces. Zbl 07238847
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Weißer, Steffen |
|
2014
|
CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems. Zbl 1145.65098
Lazarov, R. D.; Margenov, S. D. |
|
2007
|
Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069
Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. |
|
1994
|
Finite difference schemes on grids with local refinement in time and in space for parabolic problems. Optimal order two-grid iterative methods. Zbl 0829.65112
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. |
|
1991
|
Estimates of the rate of convergence of difference schemes for fourth- order elliptic equations. Zbl 0541.65064
Gavrilyuk, I. P.; Lazarov, R. D.; Makarov, V. L.; Pirnazarov, S. P. |
|
1983
|
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. Zbl 07505620
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph |
|
2020
|
A survey on numerical methods for spectral space-fractional diffusion problems. Zbl 1474.65438
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar |
|
2020
|
Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E. |
|
2020
|
Numerical solution of fractional diffusion-reaction problems based on BURA. Zbl 1452.65060
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho |
|
2020
|
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2019
|
Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). Zbl 1429.65064
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph |
|
2019
|
Multiscale HDG model reduction method for flows in heterogeneous porous media. Zbl 1432.76165
Moon, Minam; Lazarov, Raytcho; Jun, Hyung Kyu |
|
2019
|
Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 1513.65132
Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. |
|
2018
|
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi |
|
2018
|
A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media. Zbl 1435.65207
Lazarov, Raytcho; Takhirov, Aziz |
|
2018
|
On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197
Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi |
|
2017
|
Geometric multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: a numerical study. Zbl 1381.76179
Kanschat, Guido; Lazarov, Raytcho; Mao, Youli |
|
2017
|
A numerical study of the homogeneous elliptic equation with fractional boundary conditions. Zbl 1364.65253
Lazarov, Raytcho; Vabishchevich, Petr |
|
2017
|
Preface: Numerical analysis of fractional differential equations. Zbl 1431.00030
|
|
2017
|
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2016
|
Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2016
|
Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111
Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi |
|
2016
|
A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2016
|
A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172
Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi |
|
2016
|
Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. Zbl 1380.65376
Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil |
|
2016
|
Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients. Zbl 1361.65060
Srinivasan, Shriram; Lazarov, Raytcho; Minev, Peter |
|
2016
|
The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350
Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi |
|
2015
|
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William |
|
2015
|
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113
Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2015
|
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi |
|
2015
|
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197
Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke |
|
2015
|
A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105
Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke |
|
2015
|
Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi |
|
2014
|
Mixed FEM for second order elliptic problems on polygonal meshes with BEM-based spaces. Zbl 07238847
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Weißer, Steffen |
|
2014
|
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi |
|
2013
|
Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199
Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. |
|
2013
|
Some error estimates for the finite volume element method for a parabolic problem. Zbl 1285.65059
Chatzipantelidis, Panagiotis; Lazarov, Raytcho; Thomée, Vidar |
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2013
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Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi |
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2013
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Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg |
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2012
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Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun |
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2012
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Some error estimates for the lumped mass finite element method for a parabolic problem. Zbl 1251.65129
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. |
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2012
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Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248
Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D. |
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2012
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Variational multiscale finite element method for flows in highly porous media. Zbl 1244.76024
Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg |
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2011
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Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099
Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg |
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2010
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Discontinuous Galerkin subgrid finite element method for heterogeneous Brinkman’s equations. Zbl 1280.76061
Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg |
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2010
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Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho |
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2009
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Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. |
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2009
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Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451
Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K. |
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2009
|
Parabolic finite volume element equations in nonconvex polygonal domains. Zbl 1168.65051
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. |
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2009
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A simplified method for upscaling composite materials with high contrast of the conductivity. Zbl 1202.80025
Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, Joerg |
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2009
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Predictioning of symmetric interior penalty discontinuous Galerkin FEM for elliptic problems. Zbl 1267.65194
Dobrev, Veselin A.; Lazarov, Raytcho D.; Zikatanov, Ludmil T. |
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2008
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Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035
Lazarov, Raytcho; Ye, Xiu |
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2007
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On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems. Zbl 1142.74386
Ewing, Richard E.; Iliev, Oleg P.; Lazarov, Raytcho D.; Naumovich, Anna |
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2007
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On the balancing principle for some problems of numerical analysis. Zbl 1129.65041
Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V. |
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2007
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Modeling and simulation of pollutants transport in rivers. Zbl 1126.92053
Kachiashvili, K.; Gordeziani, D.; Lazarov, R.; Melikdzhanian, D. |
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2007
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CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems. Zbl 1145.65098
Lazarov, R. D.; Margenov, S. D. |
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2007
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Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263
Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. |
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2006
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Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. |
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2006
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Parabolic finite element equations in nonconvex polygonal domains. Zbl 1108.65097
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B. |
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2006
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Dynamic data driven simulations in stochastic environments. Zbl 1122.65006
Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R. |
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2006
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Postprocessing and improved accuracy of the lowest-order mixed finite element approximation for biharmonic eigenvalues. Zbl 1142.65438
Andreev, Andrey; Lazarov, Raytcho; Racheva, Milena |
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2006
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A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494
Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D. |
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2005
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Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112
Carstensen, C.; Lazarov, R.; Tomov, S. |
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2005
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Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems. Zbl 1075.65136
Andreev, A. B.; Lazarov, R. D.; Racheva, M. R. |
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2005
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Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. Zbl 1079.65109
Chatzipantelidis, P.; Lazarov, R. D. |
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2005
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Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. |
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2004
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Upscaled modeling in multiphase flow applications. Zbl 1213.76196
Ginting, V.; Ewing, R.; Efendiev, Y.; Lazarov, R. |
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2004
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Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103
Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S. |
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2003
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On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. Zbl 1032.65045
Lazarov, Raytcho D.; Margenov, Svetozar D. |
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2003
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A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. Zbl 1014.65116
Lazarov, Raytcho; Tomov, Stanimire |
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2002
|
Numerical methods for convection-diffusion problems on general grids. Zbl 1029.65129
Lazarov, Raytcho D.; Vassilevski, Panayot S. |
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2002
|
The finite volume element method in nonconvex polygonal domains. Zbl 1118.65385
Chatzipantelidis, P.; Lazarov, R. D. |
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2002
|
Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129
Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. |
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2001
|
A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. Zbl 0999.65112
Ewing, R.; Iliev, O.; Lazarov, R. |
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2001
|
Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. |
|
2001
|
Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114
Lazarov, R.; Tomov, S.; Vassilevski, P. |
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2001
|
Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. Zbl 1047.76061
Lazarov, R. D.; Tomov, S. Z. |
|
2001
|
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Zbl 1051.65107
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. |
|
2001
|
Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050
Ewing, Richard; Lazarov, Raytcho; Lin, Yanping |
|
2000
|
Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052
Ewing, R. E.; Lazarov, R. D.; Lin, Y. |
|
2000
|
Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112
Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. |
|
2000
|
On the discretization of interface problems with perfect and imperfect contact. Zbl 1014.76061
Chernogorova, Tatiana; Ewing, Richard E.; Iliev, Oleg; Lazarov, Raytcho |
|
2000
|
Numerical well model for non-Darcy flow through isotropic porous media. Zbl 0964.76041
Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan |
|
1999
|
Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids. Zbl 1052.65554
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. |
|
1999
|
Finite volume element approximations of integro-differential parabolic problems. Zbl 0980.65150
Ewing, Richard E.; Lazarov, Raytcho D.; Lin, Yanping |
|
1999
|
Least-quares for second-order elliptic problems. Zbl 0944.65119
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. |
|
1998
|
Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044
Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho |
|
1998
|
A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. |
|
1997
|
Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. |
|
1997
|
Finite volume methods for convection-diffusion problems. Zbl 0847.65075
Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S. |
|
1996
|
Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079
Vassilevski, Panayot S.; Lazarov, Raytcho D. |
|
1996
|
Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088
Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho |
|
1996
|
Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115
Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A. |
|
1996
|
Domain splitting algorithm for mixed finite element approximations to parabolic problems. Zbl 0878.65081
Chen, H.; Lazarov, R. D. |
|
1996
|
First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119
Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F. |
|
1994
|
Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108
Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D. |
|
1994
|
Finite difference scheme for parabolic problems on composite grids with refinement in time and space. Zbl 0817.65071
Ewing, Richard E.; Lazarov, Raytcho D.; Vassilev, Apostol T. |
|
1994
|
Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. Zbl 0840.65124
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. |
|
1994
|
Approximation of parabolic problems on grids locally refined in time and space. Zbl 0811.65080
Ewing, R. E.; Lazarov, R. D. |
|
1994
|
Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069
Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. |
|
1994
|
Finite volume methods with local refinement for convection-diffusion problems. Zbl 0807.65113
Lazarov, R. D.; Mishev, I. D.; Vassilevski, P. S. |
|
1994
|
Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079
Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.; Shen, Y. |
|
1993
|
Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements. Zbl 0835.65105
Ewing, R. E.; Lazarov, R. D. |
|
1993
|
Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076
Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. |
|
1993
|
Superconvergence analysis of approximate boundary-flux calculations. Zbl 0797.65079
Pehlivanov, A. I.; Lazarov, R. D.; Carey, G. F.; Chow, S. S. |
|
1992
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