The solution of exterior interface problems using a variational method with Lagrange multipliers

DOI10.1016/0022-247X(83)90209-3zbMath0581.65076MaRDI QIDQ1067759

Charles I. Goldstein

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Lagrange multipliersfinite element methodHelmholtz equationartificial boundaryexterior interface problems

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 (4)

A boundary parametric approximation to the linearized scalar potential magnetostatic field problem ⋮ A finite element method for interface problems in domains with smooth boundaries and interfaces ⋮ Fictitious domain methods for the numerical solution of two-dimensional scattering problems ⋮ Singularities and treatments of elliptic boundary value problems.

Cites Work

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• Finite Element Analysis of a Scattering Problem
• The Lagrange Multiplier Method for Dirichlet's Problem
• Interior Estimates for Ritz-Galerkin Methods
• An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
• The principle of limiting absorption
• Eigenfunction expansions associated with the Laplacian for certain domains with infinite boundaries. I
• Eigenfunction Expansions Associated with the Laplacian for Certain Domains with Infinite Boundaries. III : To the memory of my father, Emil Goldstein
• A THEOREM ON HOMEOMORPHISMS FOR ELLIPTIC SYSTEMS AND ITS APPLICATIONS

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