First-Order System Least Squares on Curved Boundaries: Lowest-Order Raviart--Thomas Elements

DOI10.1137/13091720XzbMath1300.65084OpenAlexW4248609515MaRDI QIDQ5495214

Fleurianne Bertrand, Gerhard Starke, Steffen Münzenmaier

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.1137/13091720x

zbMATH Keywords

Poisson equationnumerical experimentRaviart-Thomas spacesCourant elementRaviart-Thomas finite elementsleast squares first-order systemlinearly interpolated boundariesoptimal convergence order for lowest-order elements

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)

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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 ⋮ Least-Squares Mixed Finite Element Formulations for Isotropic and Anisotropic Elasticity at Small and Large Strains ⋮ An adaptive least-squares mixed finite element method for the Signorini problem ⋮ 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

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