New mixed finite element method on polygonal and polyhedral meshes
From MaRDI portal
Publication:4459158
DOI10.1515/156939803322380846zbMath1048.65113OpenAlexW4255766534MaRDI QIDQ4459158
Yuri A. Kuznetsov, Sergey I. Repin
Publication date: 25 March 2004
Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/156939803322380846
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
\(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods, The mimetic finite difference method on polygonal meshes for diffusion-type problems, A finite volume method for approximating 3D diffusion operators on general meshes, A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem, Convergence analysis of the high-order mimetic finite difference method, Equivalent projectors for virtual element methods, A nonconforming finite element method for the Biot's consolidation model in poroelasticity, A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media, Conforming virtual element approximations of the two-dimensional Stokes problem, The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes, Particle tracking for face-based flux data on general polyhedral grids with applications to groundwater flow modelling, Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces, Post-processing of Fluxes for Finite Volume Methods for Elliptic Problems, A technique for improving the accuracy of quadrangular mixed finite elements for Darcy's flow on heterogeneous domains, Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media, Virtual element methods for plate bending problems, High-order mimetic finite difference method for diffusion problems on polygonal meshes, A monotone nonlinear finite volume method for diffusion equations and multiphase flows, BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS, Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces, Enriched multi-point flux approximation for general grids, The Hitchhiker's Guide to the Virtual Element Method, Element agglomeration coarse Raviart–Thomas spaces with improved approximation properties, A finite element framework for some mimetic finite difference discretizations, Spectrally equivalent preconditioners for mixed hybrid discretizations of diffusion equations on distorted meshes, Mimetic finite difference method, Mimetic finite difference method for the Stokes problem on polygonal meshes, Local flux mimetic finite difference methods, Superconvergent gradient recovery for virtual element methods, Poincaré Type Inequalities for Vector Functions with Zero Mean Normal Traces on the Boundary and Applications to Interpolation Methods, A nonconforming virtual element method for the Stokes problem on general meshes, A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows, Pseudo-conforming polynomial finite elements on quadrilaterals, A mixed finite-element method on polytopal mesh, The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes, A Family of $H(div)$ Finite Element Approximations on Polygonal Meshes, Error control for approximate solutions of a class of singularly perturbed boundary value problems, Optimal Maximum Norm Estimates for Virtual Element Methods, Combining the Hybrid Mimetic Mixed Method and the Eulerian Lagrangian Localised Adjoint Method for Approximating Miscible Flows in Porous Media
Cites Work