Parametric Raviart--Thomas Elements for Mixed Methods on Domains with Curved Surfaces

DOI10.1137/15M1045442zbMath1355.65151OpenAlexW2566371069MaRDI QIDQ2954109

Fleurianne Bertrand, Gerhard Starke

Publication date: 12 January 2017

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1045442

zbMATH Keywords

convergencenumerical examplesmixed finite elementsPoisson equationRaviart-Thomas spacesparametric finite elementsinterpolated boundaries

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (8)

Stress-Based Methods for Quasi-Variational Inequalities Associated with Frictional Contact ⋮ Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity ⋮ First-Order System Least-Squares for Interface Problems ⋮ Weakly symmetric stress equilibration for hyperelastic material models ⋮ Optimal Lagrange and Hermite finite elements for Dirichlet problems in curved domains with straight‐edged triangles ⋮ Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity ⋮ An Alternative Proof of a Strip Estimate for First-Order System Least-Squares for Interface Problems ⋮ A high order mixed-FEM for diffusion problems on curved domains

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