A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport
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Publication:5889343
DOI10.1137/21M145700XMaRDI QIDQ5889343
Publication date: 20 April 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.05943
mass conservationdiscontinuous Galerkin methodsmixed finite element methodcoupled flow and transportBrinkman-Darcy flowpressure-robustness
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
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- On the solution of the coupled Navier-Stokes and Darcy equations
- Numerical computations with \(H(\mathop{div})\)-finite elements for the Brinkman problem
- Compatible algorithms for coupled flow and transport
- On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
- Two families of mixed finite elements for second order elliptic problems
- A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow
- A divergence-free velocity reconstruction for incompressible flows
- Discontinuous Galerkin methods for coupled flow and reactive transport problems
- A staggered DG method of minimal dimension for the Stokes equations on general meshes
- A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits
- A pressure-robust virtual element method for the Stokes problem
- A new hybrid staggered discontinuous Galerkin method on general meshes
- A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem
- A stabilized mixed finite element method for coupled Stokes and Darcy flows with transport
- Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids
- A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems
- A Simple Introduction to the Mixed Finite Element Method
- H(div)-CONFORMING FINITE ELEMENTS FOR THE BRINKMAN PROBLEM
- Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions
- Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
- Coupling Stokes–Darcy Flow with Transport
- Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems
- Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
- Finite Element Methods for Navier-Stokes Equations
- Coupling Fluid Flow with Porous Media Flow
- Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems
- A Staggered Discontinuous Galerkin Method of Minimal Dimension on Quadrilateral and Polygonal Meshes
- A family of nonconforming elements for the Brinkman problem
- A Simple Mesh Generator in MATLAB
- Locally Conservative Coupling of Stokes and Darcy Flows
- A Robust Finite Element Method for Darcy--Stokes Flow
- A mixed-primal finite element method for the coupling of Brinkman–Darcy flow and nonlinear transport
- Partitioned penalty methods for the transport equation in the evolutionary Stokes–Darcy‐transport problem
- Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem
- Pressure Robust Weak Galerkin Finite Element Methods for Stokes Problems
- Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition
- Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements
- Parameter-free superconvergent H(div)-conforming HDG methods for the Brinkman equations
- A lowest-order staggered DG method for the coupled Stokes–Darcy problem