Preconditioning nonconforming finite element methods for treating Dirichlet boundary conditions. I

DOI10.1007/BF01396236zbMath0761.65085OpenAlexW4237130104MaRDI QIDQ1204156

Sze-Ping Wong

Publication date: 1 April 1993

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

Full work available at URL: https://eudml.org/doc/133657

zbMATH Keywords

preconditioningsingular valuespenalty methodcondition numberssecond order elliptic operatorsnonconforming finite element methodsmethod of nearly zero boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Cites Work

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• A survey of some finite element methods proposed for treating the Dirichlet problem
• Spectral analysis of collectively compact, strongly convergent operator sequences
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• Preconditioning and Boundary Conditions
• The Finite Element Method with Penalty
• A Generalized Ritz-Least-Squares Method for Dirichlet Problems