First-order System Least Squares on Curved Boundaries: Higher-order Raviart--Thomas Elements

DOI10.1137/130948902zbMath1312.65184OpenAlexW1989477534MaRDI QIDQ5245406

Steffen Münzenmaier, Fleurianne Bertrand, Gerhard Starke

Publication date: 8 April 2015

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

Full work available at URL: https://doi.org/10.1137/130948902

zbMATH Keywords

convergencenumerical exampleelliptic boundary value problemparametric finite elementsfirst-order system least squaresinterpolated boundariescircular boundary curve

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains ⋮ First-Order System Least-Squares for Interface Problems ⋮ Parametric Raviart--Thomas Elements for Mixed Methods on Domains with Curved Surfaces ⋮ Parametric finite elements with bijective mappings ⋮ Novel Raviart-Thomas basis functions on anisotropic finite elements ⋮ Stress-Based Finite Element Methods in Linear and Nonlinear Solid Mechanics ⋮ Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity ⋮ Accuracy enhancement for non-isoparametric finite-element simulations in curved domains; application to fluid flow ⋮ 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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