A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair

DOI10.1080/00207160.2010.534466zbMath1241.65091OpenAlexW2166273039MaRDI QIDQ3101625

Feng Shi, Jia-ping Yu, Kai-Tai Li

Publication date: 29 November 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2010.534466

zbMATH Keywords

error estimatesnumerical experimentsmixed variational formulationPoisson equationtwo local Gauss integrationsLBB conditionstabilized conforming finite-element method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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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Cites Work

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• A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
• A stabilized finite element method based on two local Gauss integrations for the Stokes equations
• Mixed and Hybrid Finite Element Methods
• A Two-Level Method with Backtracking for the Navier--Stokes Equations
• Finite Element Methods and Their Applications

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