Capacitance matrix method using strips with alternating Neumann and Dirichlet boundary conditions

DOI10.1016/0168-9274(85)90008-XzbMath0619.65094OpenAlexW1993293038MaRDI QIDQ1089765

Wlodek Proskurowski, Maksymilian Dryja

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0168-9274(85)90008-x

zbMATH Keywords

domain decompositionconjugate gradient methodinterface problemalternating Neumann and Dirichlet boundary conditionscapacitance matrix systemfast elliptic solvers

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Domain decomposition techniques for the parallel solution of nonsymmetric systems of elliptic boundary value problems ⋮ The eigenvalue spectrum of domain decomposed preconditioners ⋮ A strictly conservative spatial approximation scheme for the governing engineering and physics equations over irregular regions and inhomogeneously scattered nodes

Uses Software

• FISHPAK

Cites Work

• A capacitance matrix method for Dirichlet problem on polygon region
• Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
• Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]
• A Finite Element-Capacitance Matrix Method for the Neumann Problem for Laplace’s Equation
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