Numerical solution of Poisson's equation with arbitrarily shaped boundaries using a domain decomposition and overlapping technique

DOI10.1016/0021-9991(86)90262-7zbMath0606.65070OpenAlexW2037233566MaRDI QIDQ1084843

Toshiyuki Takagi, Kazuyoshi Miki

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)90262-7

zbMATH Keywords

convergencedomain decompositionPoisson equationincomplete LU factorizationbiconjugate gradient methodboundary-fitted coordinate transformationelectron gun of a color picture tubeelectrostatic field problemoverlapping technique

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Technical applications of optics and electromagnetic theory (78A55) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Electro- and magnetostatics (78A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

Numerical solution of some partial differential equations with fixed boundary by expansion in double chebyshev polynomials

Cites Work

• Unnamed Item
• Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems
• Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations

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