Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh. (English) Zbl 1536.65081
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Found 81 Documents (Results 1–81)
Numerical methods for fourth-order PDEs on overlapping grids with application to Kirchhoff-Love plates. (English) Zbl 1531.65171
Simulation of propagation of dynamic perturbations in porous media by the grid-characteristic method with explicit description of heterogeneities. (English. Russian original) Zbl 07786681
Comput. Math. Math. Phys. 63, No. 10, 1904-1917 (2023); translation from Zh. Vychisl. Mat. Mat. 63, No. 10, 1706-1720 (2023).
A fast uniformly accurate global numerical approximation to solution and scaled derivative of system of singularly perturbed problems with multiple diffusion parameters on generalized adaptive mesh. (English) Zbl 1524.65285
Numerical analysis for a class of coupled system of singularly perturbed time-dependent convection-diffusion equations with a discontinuous source term. (English) Zbl 1533.65128
A stabilized multidomain partition of unity approach to solving incompressible viscous flow. (English) Zbl 1507.76092
Stability analysis and error estimates of local discontinuous Galerkin method for convection-diffusion equations on overlapping mesh with non-periodic boundary conditions. (English) Zbl 1499.65489
Pointwise error estimates for a system of two singularly perturbed time-dependent semilinear reaction-diffusion equations. (English) Zbl 1481.65152
A posteriori error analysis for Schwarz overlapping domain decomposition methods. (English) Zbl 1492.65342
Domain decomposition parabolic Monge-Ampère approach for fast generation of adaptive moving meshes. (English) Zbl 1524.65496
Non-conforming elements in Nek5000: pressure preconditioning and parallel performance. (English) Zbl 1484.65202
Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 599-609 (2020).
Parallel iterative stabilized finite element methods based on the quadratic equal-order elements for incompressible flows. (English) Zbl 1475.76064
Reviewer: Dimitra Antonopoulou (Chester)
Robin boundary value problems for a singularly perturbed weakly coupled system of convection-diffusion equations having discontinuous source term. (English) Zbl 1435.65131
A monolithic approach to fluid-structure interaction based on a hybrid Eulerian-ALE fluid domain decomposition involving cut elements. (English) Zbl 07845171
Maximum-principle-preserving third-order local discontinuous Galerkin method for convection-diffusion equations on overlapping meshes. (English) Zbl 1416.65346
Small coarse spaces for overlapping Schwarz algorithms with irregular subdomains. (English) Zbl 1450.65177
Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 553-560 (2018).
An adaptive GDSW coarse space for two-level overlapping Schwarz methods in two dimensions. (English) Zbl 1450.65164
Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 373-382 (2018).
Robust intersection of structured hexahedral meshes and degenerate triangle meshes with volume fraction applications. (English) Zbl 06860401
MSC:
65-XX
A highly scalable multilevel Schwarz method with boundary geometry preserving coarse spaces for 3D elasticity problems on domains with complex geometry. (English) Zbl 1380.65404
Strict bounding of quantities of interest in computations based on domain decomposition. (English) Zbl 1425.65176
High-order upwind methods for wave equations on curvilinear and overlapping grids. (English) Zbl 1352.65226
Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 137-145 (2015).
Reviewer: Irina V. Konopleva (Ul’yanovsk)
Parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system with discontinuous source terms. (English) Zbl 1310.65084
Second order parameter-uniform numerical method for a partially singularly perturbed linear system of reaction-diusion type. (English) Zbl 1274.65203
Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. (English) Zbl 1267.65193
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Efficient implementation of finite element methods on nonmatching and overlapping meshes in three dimensions. (English) Zbl 1264.65194
Convergence analysis of the overlapping Schwarz waveform relaxation algorithm for reaction-diffusion equations with time delay. (English) Zbl 1259.65136
Reviewer: S. Burys (Kraków)
A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem. (English) Zbl 1238.65117
Reviewer: Adrian Carabineanu (Bucureşti)
A novel radio resource allocation scheme for IEEE 802.16e multicell networks. (English) Zbl 1267.68052
MSC:
68M12
A stable and accurate projection method on a locally refined staggered mesh. (English) Zbl 1303.76107
MSC:
76M25
Partition of a unity finite element method for a wave equation with convergence analysis. (Chinese. English summary) Zbl 1240.65289
Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system. (English) Zbl 1223.65062
Reviewer: J. B. Butler jun. (Portland)
The discrete duality finite volume method for convection-diffusion problems. (English) Zbl 1210.65183
Reviewer: Erwin Schechter (Moers)
SGBEM with Lagrange multipliers applied to elastic domain decomposition problems with curved interfaces using non-matching meshes. (English) Zbl 1193.74165
Congestion-aware channel assignment for multi-channel wireless mesh networks. (English) Zbl 1192.68052
MSC:
68M10
A posteriori error analysis for two non-overlapping domain decomposition techniques. (English) Zbl 1166.65053
Reviewer: Fuhua Ling (Milpitas)
A posteriori error analysis of penalty domain decomposition methods for linear elliptic problems. (English) Zbl 1188.65147
Kunisch, Karl (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10–14, 2007. Berlin: Springer (ISBN 978-3-540-69776-3/hbk). 373-380 (2008).
A patch/subdomain iteration framework and algorithm class for error indicator and mesh reliability calculations. (English) Zbl 1156.65026
Partition of unity for a class of nonlinear parabolic equation on overlapping non-matching grids. (English) Zbl 1174.65492
Partition of unity for a class of nonlinear parabolic equation on overlapping non-matching grids. (English) Zbl 1142.65416
Solution of depth-averaged tidal currents in Persian Gulf on unstructured overlapping finite volumes. (English) Zbl 1205.76162
Overlapping grids for the diffusion equation. (English) Zbl 1122.65072
Reviewer: Piotr Matus (Minsk)
Partition of unity finite element method implementation for Poisson equation. (English) Zbl 1114.65137
Liu, Fengshan (ed.) et al., Advances in applied and computational mathematics. Selected papers based on the presentations at the applied mathematics summer workshop, Dover, DE, USA, August 18–20, 2005. New York, NY: Nova Science Publishers (ISBN 1-60021-358-8/hbk). 35-46 (2006).
Adaptive mesh refinement on overlapping grids. (English) Zbl 1065.65115
Plewa, Tomasz (ed.) et al., Adaptive mesh refinement – theory and applications. Proceedings of the Chicago workshop on adaptive mesh refinement methods, Chicago, IL, USA, September 3–5, 2003. Berlin: Springer (ISBN 3-540-21147-0/pbk). Lecture Notes in Computational Science and Engineering 41, 59-71 (2005).
Domain coupling with the DOVE scheme. (English) Zbl 1077.76554
Chetverushkin, Boris (ed.) et al., Parallel computational fluid dynamics. Advanced numerical methods, software and applications. Proceedings of the parallel CFD 2003 conference, Moscow, Russia, May 13–15, 2003. Amsterdam: Elsevier (ISBN 0-444-51612-3/hbk). 119-127 (2004).
A mortar element method for hyperbolic problems. (English. Abridged French version) Zbl 1038.65094
A new method based on SOM network to generate coarse meshes for overlapping unstructured multigrid algorithm. (English) Zbl 1027.65164
Overlapping domain decomposition for elliptic problems on locally refined meshes: Dirichlet boundary conditions. (English) Zbl 1017.65100
Reviewer: Vit Dolejsi (Praha)
Parallel overlapping-mesh algorithm. (English) Zbl 1002.76084
Ingber, M. (ed.) et al., Applications of high-performance computing in engineering VI. HPC 2000, 6th international conference, Maui, HI, USA, January 26-28, 2000. Southampton: WIT Press. 335-344 (2000).
Euler solutions with Chimera technique for unsteady compressible flows. (Eulerlösungen mittels Chimeratechnik für instationäre kompressible Strömungen.) (German. English summary) Zbl 0967.76001
DLR Forschungsbericht. 41. Köln: DLR, München: TUM, TU München, Fakultät Maschinenwesen, 190 S. (2000).
Reviewer: A.Meister (Hamburg)
Adaptive spatial partitioning and refinement for overset structured grids. (English) Zbl 0977.76073
Reviewer: Thomas Sonar (Braunschweig)
Mortar finite volume element approximations of second order elliptic problems. (English) Zbl 0963.65112
Reviewer: Peter Matus (Minsk)
Overlapping mesh technique for compressible flows – parallel implementation. (English) Zbl 0969.76056
Yang, Tianruo (ed.), Parallel numerical computation with applications. Proceedings of the workshop on Frontiers of parallel numerical computations and applications, organized in the IEEE 7th symposium on the Frontiers on massively parallel computers (Frontiers ’99) at Annapolis, MD, USA, February 20-25, 1999. Boston: Kluwer Academic Publishers. Kluwer Int. Ser. Eng. Comput. Sci. 515, 159-175 (1999).
Hole-cutting for three-dimensional overlapping grids. (English) Zbl 0947.65128
Reviewer: A.I.Tolstykh (Moskva)
MSC:
65N50
A moving mesh method in multiblock domains with application to a combustion problem. (English) Zbl 0972.80011
An algorithm for assembling overlapping grid systems. (English) Zbl 0939.65110
Reviewer: G.Jumarie (Montréal)
Difference approximations of acoustic and elastic wave equations. (English) Zbl 0948.74074
Toro, E. F. (ed.) et al., Numerical methods for wave propagation. Selected contributions from the workshop held in Manchester, GB, May 1995. Dordrecht: Kluwer Academic Publishers. Fluid Mech. Appl. 47, 197-210 (1998).
Parallel domain decomposition for reaction-diffusion problems. (English) Zbl 0911.65084
Bristeau, M.-O. (ed.) et al., Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5–7, 1997. Chichester: John Wiley & Sons. 96-101 (1997).
Finite element simulation of jetting behaviour in metal injection molding using remeshing scheme. (English) Zbl 0914.76055
Stability of interpolation on overlapping grids. (English) Zbl 0882.65081
Reviewer: E.Emmrich (Magdeburg)
A parallel compressible 3D Navier-Stokes solver using unstructured meshes. (English) Zbl 0874.76041
Ecer, A. (ed.) et al., Parallel computational fluid dynamics: new trends and advances. Proceedings of the parallel CFD ’93 conference, Paris, France, May 10-12, 1993. Amsterdam: North-Holland. 487-495 (1995).
Reviewer: K.Deckelnick (Freiburg i.Br.)
A scheme for conservative interpolation on overlapping grids. (English) Zbl 0805.65086
Reviewer: P.Y.Yalamov (Russe)
The non-overlapping domain decomposition method for parallelization and preconditioning of iterative methods. (Die nichtüberlappende Gebietszerlegungsmethode zur Parallelisierung und Vorkonditionierung iterativer Verfahren.) (German) Zbl 0818.65118
Chemnitz-Zwickau: Univ., Fak. Math. u. Naturwiss. 105 p. (1993).
Computing the flow around a submerged body using composite grids. (English) Zbl 0774.76064
Reviewer: Th.Sonar (Stuttgart)
Domain decomposition methods for problems with partial refinement. (English) Zbl 0746.65084
Reviewer: W.Heinrichs (Düsseldorf)
Adaptive local overlapping grid methods for parabolic systems in two space dimensions. (English) Zbl 0753.65079
Reviewer: S.Gocheva-Ilieva (El Menara)
Parallel multigrid using domain decomposition. (English) Zbl 0744.65083
Parallel algorithms for partial differential equations, Proc. 6th GAMM- Semin., Kiel/Ger. 1990, Notes Numer. Fluid Mech. 31, 200-215 (1991).
Reviewer: S.F.McCormick (Denver)
Composite overlapping meshes for the solution of partial differential equations. (English) Zbl 0709.65090
Reviewer: I.Arany
Adaptive overlapping grid methods for parabolic systems. (English) Zbl 0694.65062
Adaptive methods for partial differential equations, Proc. Workshop, Troy/NY (USA) 1988, 176-193 (1989).
Reviewer: C.I.Gheorghiu
Implicit finite difference methods on composite grids. (English) Zbl 0637.65087
Reviewer: U.Langer
Numerical solution of Poisson’s equation with arbitrarily shaped boundaries using a domain decomposition and overlapping technique. (English) Zbl 0606.65070
Reviewer: Ll.G.Chambers
A domain decomposition and overlapping method for the generation of three-dimensional boundary-fitted coordinate systems. (English) Zbl 0524.65010
Construction of a curvilinear grid. (English) Zbl 0536.65086
Reviewer: V.Makarov
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