Boundary approximation methods for solving elliptic problems on unbounded domains

DOI10.1016/0021-9991(90)90150-YzbMath0704.65076MaRDI QIDQ917243

Zi-Cai Li, Rudolf A. Mathon

Publication date: 1990

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

least-squares methodnumerical experimentsTrefftz methodinterface conditionsboundary approximation method``crack singularity``infinity singularity``mild singularityfree coefficients

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)

Related Items (8)

Error analysis of the Trefftz method for solving Laplace's eigenvalue problems ⋮ The collocation Trefftz method for biharmonic equations with crack singularities ⋮ The method of fundamental solutions and its combinations for exterior problems ⋮ The Trefftz method for solving eigenvalue problems ⋮ The singular boundary method: mathematical background and application in orthotropic elastic problems ⋮ The weighted finite element method for elasticity equations on unbounded domains ⋮ The Trefftz method for the Helmholtz equation with degeneracy ⋮ A combined method for solving elliptic problems on unbounded domains

Cites Work

• Generalized finite element analysis with T-complete boundary solution functions
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• Boundary Singularities in Linear Elliptic Differential Equations
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