A combined method for solving elliptic problems on unbounded domains

DOI10.1016/0045-7825(89)90112-6zbMath0688.73052OpenAlexW2065692252MaRDI QIDQ1264036

K. Appert

Publication date: 1989

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(89)90112-6

zbMATH Keywords

finite element methodRitz-Galerkin methodSobolev normsnonconforming combined methodbounded subdomainErrors of numerical solutionsexterior subdomain

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Brittle damage (74R05)

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Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics, Mixed types of boundary conditions at corners of linear elastostatics and their numerical solutions, Corner and crack singularity of different boundary conditions for linear elastostatics and their numerical solutions, Singularities and treatments of elliptic boundary value problems.

Cites Work

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• An approach for combining the Ritz-Galerkin and finite element method
• Spectral methods for exterior elliptic problems
• A nonconforming combination for solving elliptic problems with interfaces
• Boundary approximation methods for solving elliptic problems on unbounded domains
• A nonconforming combined method for solving Laplace's boundary value problems with singularities
• The finite element method with non-uniform mesh sizes applied to the exterior Helmholtz problem
• Finite Element Analysis of a Scattering Problem
• The Numerical Solution of Helmholtz’s Equation for the Exterior Dirichlet Problem in Three Dimensions
• Generalized finite element analysis with T-complete boundary solution functions
• On the Coupling of Boundary Integral and Finite Element Methods
• The Finite Element Method with Nonuniform Mesh Sizes for Unbounded Domains
• A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
• A New Approximation Method for the Helmholtz Equation in an Exterior Domain
• The coupling of the finite element method and boundary solution procedures
• Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
• Infinite elements
• Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 1
• On the Finite Element Method for Unbounded Regions