Hierarchical basis in \(H^{\operatorname{div}}\) space for a mixed finite element formulation of the Darcy problem
DOI10.33048/semi.2020.17.119zbMath1448.65248OpenAlexW3114286711MaRDI QIDQ2212716
Ella Petrovna Shurina, Natalia Borisovna Itkina, Svetlana Alekseevna Trofimova
Publication date: 24 November 2020
Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.33048/semi.2020.17.119
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
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- Sparsity optimized high order finite element functions for H(div) on simplices
- Mixed discontinuous Galerkin methods for Darcy flow
- Robust algebraic multilevel methods and algorithms.
- Algebraic multilevel preconditioning methods. I
- Meshless analysis of Darcy flow with a variational multiscale interpolating element-free Galerkin method
- On the use of divergence balanced \(\mathbf{H}(\operatorname{div})\)-\(L^2\) pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes-Darcy and Brinkman problems
- High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs
- Error indicators for incompressible Darcy flow problems using enhanced velocity mixed finite element method
- An unfitted finite element method for the Darcy problem in a fracture network
- An embedded-hybridized discontinuous Galerkin method for the coupled Stokes-Darcy system
- Mixed finite element analysis for generalized Darcy-Forchheimer model in porous media
- The Stability of Mixed hp-Finite Element Methods for Stokes Flow on High Aspect Ratio Elements
- Algebraic Multilevel Preconditioning Methods, II
- A mixed finite element method for Darcy’s equations with pressure dependent porosity
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- Mixed and Hybrid Finite Element Methods
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Iterative Krylov Methods for Large Linear Systems
- A Posteriori Error Estimation of a Stabilized Mixed Finite Element Method for Darcy Flow
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