Total flux estimates for a finite element approximation of the Dirichlet problem using the boundary penalty method

DOI10.1007/BF01386415zbMath0702.65088MaRDI QIDQ915411

Robert M. Shanahan, John W. Barrett

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/133453

zbMATH Keywords

Dirichlet problempiecewise linear finite elementboundary penalty methodsecond order self-adjoint elliptic equationtotal flux estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Computation of outflow flux for convection-dominated transport equations

Cites Work

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• Fixed mesh finite element approximations to a free boundary problem for an elliptic equation with an oblique derivative boundary condition
• Finite element approximation of the Dirichlet problem using the boundary penalty method
• Total Flux Estimates for a Finite-Element Approximation of Elliptic Equations
• Finite-Element Approximation of Elliptic Equations with a Neumann or Robin Condition on a Curved Boundary
• Nonconforming Elements in the Finite Element Method with Penalty