Intrinsic finite element methods for the computation of fluxes for Poisson's equation

DOI10.1007/S00211-015-0730-9zbMath1335.65091OpenAlexW581370568MaRDI QIDQ5964940

Stefan A. Sauter, Corina Simian, Patrick~jun. Ciarlet, Philippe G. Ciarlet

Publication date: 2 March 2016

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://www.zora.uzh.ch/id/eprint/111530/1/15_12.pdf

zbMATH Keywords

Poisson equationelliptic boundary value problemsconforming finite element spacesCrouzeix-Falk elementCrouzeix-Raviart elementFortin-Soulie elementintrinsic formulationnon-conforming finite element spaces

Mathematics Subject Classification ID

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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Cites Work

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• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Gauss-Legendre elements: a stable, higher order non-conforming finite element family
• Mixed finite elements in \(\mathbb{R}^3\)
• Crouzeix-Velte decompositions for higher-order finite elements
• A new approach for approximating linear elasticity problems
• DIRECT COMPUTATION OF STRESSES IN PLANAR LINEARIZED ELASTICITY
• Finite element exterior calculus: from Hodge theory to numerical stability
• A non-conforming piecewise quadratic finite element on triangles
• Mixed and Hybrid Finite Element Methods
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Nonconforming Finite Elements for the Stokes Problem
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
• Boundary Element Methods

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