Mixed finite element methods for the Poisson equation using biorthogonal and quasi-biorthogonal systems

DOI10.1155/2013/189045zbMath1268.65154OpenAlexW2002764035WikidataQ58919020 ScholiaQ58919020MaRDI QIDQ1953203

Bishnu P. Lamichhane

Publication date: 7 June 2013

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/189045

zbMATH Keywords

finite element methodLagrange multiplierPoisson equationa priori error estimate

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

A mixed finite element method for the Poisson problem using a biorthogonal system with <scp>Raviart–Thomas</scp> elements ⋮ A NEW MINIMIZATION PRINCIPLE FOR THE POISSON EQUATION LEADING TO A FLEXIBLE FINITE ELEMENT APPROACH

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