On the numerical treatment of boundary singularities in elliptic problems

DOI10.1016/0021-9991(86)90044-6zbMath0618.65089OpenAlexW2108904936MaRDI QIDQ1822473

Timothy N. Phillips

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90044-6

zbMATH Keywords

Newton's methodconvergence accelerationboundary singularitiescorner singularitiesfinite differencemesh refinementcoordinate transformationsolid state electronicsdynamic ADI method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Motion of charged particles (78A35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Singularities and treatments of elliptic boundary value problems.

Cites Work

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• Numerical solution of a coupled pair of elliptic equations from solid state electronics
• On the use of nonuniform grids in finite-difference equations
• Dynamic ADI Methods for Elliptic Equations
• Numerical Modelling of PIN Diodes