On the numerical solution of the eigenvalue problem of the Laplace operator by a capacitance matrix method

DOI10.1007/BF02252343zbMath0402.65058OpenAlexW214021528MaRDI QIDQ1255772

K. Appert

Publication date: 1978

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252343

zbMATH Keywords

Eigenvalue ProblemNumerical SolutionCapacitance Matrix MethodDiscrete Helmholtz EquationInterior Dirichlet ProblemIterative Block Lanczos MethodLaplace Operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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Cites Work

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• Waves in periodically structured media
• Simultaneous iteration method for symmetric matrices
• Solution of Sparse Indefinite Systems of Linear Equations
• Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix
• High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions
• Direct Methods for Computing Eigenvalues of the Finite-Difference Laplacian
• Estimates for Some Computational Techniques in Linear Algebra
• Effects of Boundary Regularity on the Discretization Error in the Fixed Membrane Eigenvalue Problem
• Finite Difference Approximations for Eigenvalues of Uniformly Elliptic Operators
• Computational Variants of the Lanczos Method for the Eigenproblem
• Periodic Sigma Functions

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