The numerical solution of elliptic and parabolic partial differential equations with boundary singularities
DOI10.1016/0021-9991(78)90071-2zbMath0373.65050OpenAlexW2136451061MaRDI QIDQ1244802
Publication date: 1978
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(78)90071-2
Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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Cites Work
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- Practical applications of an integral equation method for the solution of Laplace's equation
- On the use of conformal transformations for the numerical solution of harmonic boundary value problems
- Local mesh refinement with finite elements for elliptic problems
- A numerical conformal transformation method for harmonic mixed boundary value problems in polygonal domains
- Corner singularities in elliptic problems by finite element methods
- The axially symmetric temperature problem for the space with a disk- shaped crack
- Treatment of harmonic mixed boundary problems by conformal transformation methods
- Singularities in the Solution of Laplace's Equation in Two Dimensions
- A simple finite-difference modification for improving accuracy near a corner in heat flow problems
- The Treatment of Boundary Singularities in Axially Symmetric Problems Containing Discs
- A Method of Treating Boundary Singularities in Time-Dependent Problems
- Representation of singularities with isoparametric finite elements
- On a Method to Subtract off a Singularity at a Corner for the Dirichlet or Neumann Problem
- Boundary Singularities in Linear Elliptic Differential Equations
- Numerical treatment of biharmonic boundary value problems with re-entrant boundaries
- NUMERICAL SOLUTION OF A HARMONIC MIXED BOUNDARY-VALUE PROBLEM BY THE EXTENSION OF A DUAL SERIES METHOD
- Convergence of finite-difference techniques for a harmonic mixed boundary value problem
- Some experiments with singularities in linear elliptic partial differential equations
- Numerical treatment of a singularity in a free boundary problem
- Singularity programming: A numerical technique for determining the effect of singularities in finite difference solutions illustrated by application to plane elastic problems
- The Regula-Falsi Method for Free-Boundary Problems
- The removal of singularities in the solution of boundary problems for the Laplace equation in a region with a smooth boundary
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