Flux-Mortar Mixed Finite Element Methods on NonMatching Grids
DOI10.1137/20M1361407zbMath1493.65192arXiv2008.09372OpenAlexW3080416157MaRDI QIDQ5864677
W. M. Boon, Dennis Gläser, Rainer Helmig, Ivan Yotov
Publication date: 8 June 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.09372
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients
- Implementation of a mortar mixed finite element method using a multiscale flux basis
- Domain decomposition for coupled Stokes and Darcy flows
- Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
- Mortar upscaling for multiphase flow in porous media
- Analysis of multiscale mortar mixed approximation of nonlinear elliptic equations
- Mathematical and numerical models for coupling surface and groundwater flows
- A multiscale hybrid method for Darcy's problems using mixed finite element local solvers
- The multiscale hybrid mixed method in general polygonal meshes
- DuMu\(^{\text x} 3\) -- an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling
- Multiscale hybrid-mixed method for the Stokes and Brinkman equations -- the method
- Unified approach to discretization of flow in fractured porous media
- Mortar multiscale finite element methods for Stokes-Darcy flows
- Foundations of the MHM Method
- Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
- A Neumann--Dirichlet Preconditioner for a FETI-DP Formulation of the Two-Dimensional Stokes Problem with Mortar Methods
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Coupling Fluid Flow with Porous Media Flow
- The Mixed Mortar Finite Element Method for the Incompressible Stokes Problem: Convergence Analysis
- Mixed Finite Element Methods on Nonmatching Multiblock Grids
- Robust Discretization of Flow in Fractured Porous Media
- Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems
- Balancing Neumann-Neumann methods for incompressible Stokes equations
- Korn's inequalities for piecewise $H^1$ vector fields
- Mixed Finite Element Methods and Applications
- A parameter-robust iterative method for Stokes–Darcy problems retaining local mass conservation
- Domain decomposition and multiscale mortar mixed finite element methods for linear elasticity with weak stress symmetry
- Balancing domain decomposition for mortar mixed finite element methods
- Multiscale Hybrid-Mixed Method
- BDDC Algorithms for Incompressible Stokes Equations
- A Multiscale Mortar Mixed Finite Element Method
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