Found 69 Documents (Results 1–69)
A novel projection-based embedded discrete fracture model (pEDFM) for anisotropic two-phase flow simulation using hybrid of two-point flux approximation and mimetic finite difference (TPFA-MFD) methods. (English) Zbl 07819075
A stable mimetic finite-difference method for convection-dominated diffusion equations. (English) Zbl 1533.65206
The curved mimetic finite difference method: allowing grids with curved faces. (English) Zbl 07715227
Novel numerical techniques based on mimetic finite difference method for pricing two dimensional options. (English) Zbl 1485.91247
An implementation of mimetic finite difference method for fractured reservoirs using a fully implicit approach and discrete fracture models. (English) Zbl 07516474
Multigrid reduction preconditioning framework for coupled processes in porous and fractured media. (English) Zbl 1507.74375
Convergence of the mimetic finite difference and fitted mimetic finite difference method for options pricing. (English) Zbl 1508.91612
Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics. (English) Zbl 1506.74390
A finite-element framework for a mimetic finite-difference discretization of Maxwell’S equations. (English) Zbl 1470.35348
A higher order approximate static condensation method for multi-material diffusion problems. (English) Zbl 1452.65303
A symmetry preserving scheme for three-dimensional Lagrangian radiation hydrodynamic simulations of ICF capsule implosion. (English) Zbl 1466.76043
The high-order mixed mimetic finite difference method for time-dependent diffusion problems. (English) Zbl 1428.65013
J. Sci. Comput. 80, No. 3, 1805-1830 (2019); correction ibid. 80, No. 3, 1831 (2019).
Mimetic discretization of the eikonal equation with Soner boundary conditions. (English) Zbl 1427.65158
Comparison between cell-centered and nodal-based discretization schemes for linear elasticity. (English) Zbl 1405.65144
Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes. (English) Zbl 1402.65135
Reviewer: Rolf Dieter Grigorieff (Berlin)
Bracket formulations and energy- and helicity-preserving numerical methods for incompressible two-phase flows. (English) Zbl 1380.76085
Solving Poisson equation with Robin boundary condition on a curvilinear mesh using high order mimetic discretization methods. (English) Zbl 1540.65450
MSC:
65N06
Bracket formulations and energy- and helicity-preserving numerical methods for the three-dimensional vorticity equation. (English) Zbl 1439.76026
MSC:
76D17
Convergence analysis of the mimetic finite difference method for elliptic problems with staggered discretizations of diffusion coefficients. (English) Zbl 1422.65321
A fully conservative mimetic discretization of the Navier-Stokes equations in cylindrical coordinates with associated singularity treatment. (English) Zbl 1375.76114
Multidimensional summation-by-parts operators: general theory and application to simplex elements. (English) Zbl 1382.65355
The nonconforming virtual element method. (English) Zbl 1343.65140
Reviewer: Pavol Chocholatý (Bratislava)
The arbitrary order mixed mimetic finite difference method for the diffusion equation. (English) Zbl 1342.65202
Reviewer: Abdallah Bradji (Annaba)
Mimetic finite difference approximation of quasilinear elliptic problems. (English) Zbl 1316.65092
Reviewer: Vladimir L. Makarov (Kyïv)
Post processing of solution and flux for the nodal mimetic finite difference method. (English) Zbl 1317.65215
Reviewer: Abdallah Bradji (Annaba)
On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes. (English) Zbl 1423.74095
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. (English) Zbl 1349.65581
The mimetic methods toolkit: an object-oriented API for mimetic finite differences. (English) Zbl 1321.65162
Numerical comparison of robustness of some reduction methods in rough grids. (English) Zbl 1308.76167
The mimetic finite difference method for elliptic problems. (English) Zbl 1286.65141
MS&A. Modeling, Simulation and Applications 11. Cham: Springer (ISBN 978-3-319-02662-6/hbk; 978-3-319-02663-3/ebook). xvi, 392 p. (2014).
Reviewer: Marius Ghergu (Dublin)
Mimetic discretizations of elliptic control problems. (English) Zbl 1273.65079
Reviewer: Hans Benker (Merseburg)
MSC:
65K10
Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. (English) Zbl 1267.65159
Reviewer: Wilhelm Heinrichs (Essen)
Mixed finite element methods: Implementation with one unknown per element, local flux expressions, positivity, polygonal meshes, and relations to other methods. (English) Zbl 1264.65198
Convergence of multi-point approximations on general grids and media. (English) Zbl 1276.76047
MSC:
76M20
Convergence of the multipoint flux approximation L-method on general grids. (English) Zbl 1264.76069
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Analysis of stochastic mimetic finite difference methods and their applications in single-phase stochastic flows. (English) Zbl 1253.76121
Monotonicity conditions in the mimetic finite difference method. (English) Zbl 1246.65203
Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 653-661 (2011).
Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. (English) Zbl 1242.65215
Reviewer: Adrian Carabineanu (Bucureşti)
Efficient second-order discretizations for semilinear parabolic problems. (English) Zbl 1317.65176
López de Silanes, María Cruz (ed.) et al., Tenth international conference Zaragoza-Pau on applied mathematics and statistics, Jaca, Spain, September 15–17, 2008. Zaragoza: Prensas Universitarias de Zaragoza (ISBN 978-84-15031-53-6/pbk). Monografías Matemáticas “García de Galdeano” 35, 229-236 (2010).
Remarks on discretizations of convection terms in hybrid mimetic mixed methods. (English) Zbl 1260.76017
Convergence of fractional step mimetic finite difference discretizations for semilinear parabolic problems. (English) Zbl 1197.65130
Reviewer: Ruxandra Stavre (Bucureşti)
Locally linearized fractional step methods for nonlinear parabolic problems. (English) Zbl 1189.65211
A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. (English) Zbl 1191.65142
Reviewer: Angela Handlovičová (Bratislava)
Convergence analysis of the mimetic finite difference method for elliptic problems. (English) Zbl 1204.65128
Reviewer: Gunther Schmidt (Berlin)
An energy conservative numerical scheme on mixed meshes for the nonlinear Schrödinger equation. (English) Zbl 1185.65156
Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 892-895 (2009).
Convergence analysis of the high-order mimetic finite difference method. (English) Zbl 1183.65132
Reviewer: Vit Dolejsi (Praha)
Mimetic finite differences for elliptic problems. (English) Zbl 1177.65164
Reviewer: Georg Hebermehl (Berlin)
Flux reconstruction and solution post-processing in mimetic finite difference methods. (English) Zbl 1169.76404
Inner products in covolume and mimetic methods. (English) Zbl 1155.65103
Reviewer: Wilhelm Heinrichs (Essen)
High-order mimetic finite difference method for diffusion problems on polygonal meshes. (English) Zbl 1152.65101
A local error estimator for the mimetic finite difference method. (English) Zbl 1164.65034
Reviewer: R. Militaru (Craiova)
A residual based error estimator for the mimetic finite difference method. (English) Zbl 1144.65067
Reviewer: Stefan Jakobsson (Göteborg)
Convergence of a mimetic finite difference method for static diffusion equation. (English) Zbl 1158.65053
Reviewer: Vasilis Dimitriou (Chania)
A node reconnection algorithm for mimetic finite difference discretizations of elliptic equations on triangular meshes. (English) Zbl 1092.65091
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. (English) Zbl 1108.65102
Reviewer: Jiří Vaníček (Praha)
A mortar mimetic finite difference method on nonmatching grids. (English) Zbl 1089.65114
Reviewer: Pavol Chocholatý (Bratislava)
The convergence of mimetic discretization for rough grids. (English) Zbl 1070.65114
Reviewer: Krzysztof Moszyński (Warszawa)
Analysis and optimization of inner products for mimetic finite difference methods on a triangular grid. (English) Zbl 1058.65115
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