A note on the capacitance matrix algorithm, substructuring, and mixed or Neumann boundary conditions

DOI10.1016/0168-9274(87)90038-9zbMath0639.65059OpenAlexW4241371885MaRDI QIDQ1099937

Dianne P. O'Leary

Publication date: 1987

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(87)90038-9

zbMATH Keywords

rank-deficient matricesparallel processingcapacitance matrix algorithm

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

• Unnamed Item
• On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations
• Analysis of Preconditioners for Domain Decomposition
• The numerical solution of a nonseparable elliptic partial differential equation by preconditioned conjugate gradients
• A Finite Element-Capacitance Matrix Method for the Neumann Problem for Laplace’s Equation
• On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
• Method of fictitious domains for a second-order elliptic equation with natural boundary conditions
• Capacitance Matrix Methods for the Helmholtz Equation on General Three-Dimensional Regions
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions