Optimal \(H(\mathrm{div})\) flux approximations from the primal hybrid finite element method on quadrilateral meshes
DOI10.1016/J.CMA.2022.115539OpenAlexW4293585657WikidataQ113877824 ScholiaQ113877824MaRDI QIDQ2083161
Giovanni Taraschi, Maicon R. Correa
Publication date: 10 October 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2022.115539
second order elliptic equationflux recoverygeneral quadrilateralsprimal hybrid finite element method
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) Approximation by polynomials (41A10)
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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
- The serendipity family of finite elements
- Two families of mixed finite elements for second order elliptic problems
- Discretisation and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients
- A discontinuous \(hp\) finite element method for diffusion problems: 1-D analysis
- On the convergence of the primal hybrid finite element method on quadrilateral meshes
- Hierarchical high order finite element spaces in \(H(\operatorname{div},\Omega)\times H^1(\Omega)\) for a stabilized mixed formulation of Darcy problem
- Higher-order gradient post-processings for second-order elliptic problems
- Projections of velocity data for the compatibility with transport
- Two Families of $H$(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension
- Efficient rectangular mixed finite elements in two and three space variables
- Finite Element Methods for Navier-Stokes Equations
- Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
- Superconvergence and H(div) projection for discontinuous Galerkin methods
- Approximation by quadrilateral finite elements
- Flux Recovery from Primal Hybrid Finite Element Methods
- Mixed Finite Element Methods and Applications
- Stabilized velocity post‐processings for Darcy flow in heterogeneous porous media
- Rehabilitation of the Lowest-Order Raviart–Thomas Element on Quadrilateral Grids
- QuadrilateralH(div) Finite Elements
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