The global element method applied to a harmonic mixed boundary value problem

DOI10.1016/0021-9991(79)90026-3zbMath0438.65095OpenAlexW1978132772MaRDI QIDQ1142028

L. M. Delves, J. A. Hendry

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-9991(79)90026-3

zbMATH Keywords

singular boundary value problemnumerical convergenceglobal element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (18)

Performance of GEM2 on the ELLPACK problem population ⋮ Enriched meshfree method for an accurate numerical solution of the Motz problem ⋮ Convergence analysis of a discontinuous finite element formulation based on second-order derivatives ⋮ The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities ⋮ A priori error analyses of a stabilized discontinuous Galerkin method ⋮ Singular problems and the global element method ⋮ Chebyshev expansion methods for the solution of elliptic partial differential equations ⋮ Iterative solution of the global element equations ⋮ A discontinuous \(hp\) finite element method for diffusion problems: 1-D analysis ⋮ The direct method of lines for the numerical solutions of interface problem ⋮ The \(p\)-version of the finite element method for the elliptic boundary value problems with interfaces ⋮ The numerical methods for oscillating singularities in elliptic boundary value problems ⋮ Discrete boundary conditions for problems with interface ⋮ Fourier two-level analysis for higher dimensional discontinuous Galerkin discretisation ⋮ The calculation of singular coefficients ⋮ A discontinuous \(hp\) finite element method for convection-diffusion problems ⋮ Singularities and treatments of elliptic boundary value problems. ⋮ An efficient finite element method for treating singularities in Laplace's equation

Cites Work

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• The global element method applied to a discontinuous nuclear potential
• On the use of singular functions with finite element approximations
• Treatment of harmonic mixed boundary problems by conformal transformation methods
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• An Implicit Matching Principle for Global Element Calculations
• A Numerical Study of a Singular Elliptic Boundary Value Problem
• Singular Isoparametric Finite Elements
• Finite element solution of boundary-value problems with non-removable singularities
• TREATMENT OF SINGULARITIES IN A HARMONIC MIXED BOUNDARY VALUE PROBLEM BY DUAL SERIES METHODS
• NUMERICAL SOLUTION OF A HARMONIC MIXED BOUNDARY-VALUE PROBLEM BY THE EXTENSION OF A DUAL SERIES METHOD
• Finite-difference techniques for a harmonic mixed boundary problem having a reentrant boundary
• On the Convergence Rates of Variational Methods. I: Asymptotically Diagonal Systems

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