Eigenvalue inclusions via domain decomposition

DOI10.1098/rspa.2000.0635zbMath0993.65120OpenAlexW2048795129MaRDI QIDQ2748069

H. Behnke, Christian Wieners, Michael Plum, Ulrich Mertins

Publication date: 14 October 2001

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2000.0635

zbMATH Keywords

domain decompositionerror boundNeumann boundary conditionseigenfunctionshomotopy methodssecond-order problemseigenvalue inclusions

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (8)

New solutions of the Gelfand problem ⋮ Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues ⋮ The finite element-Galerkin method for singular self-adjoint differential equations ⋮ Bound states in coupled guides. I. Two dimensions ⋮ Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations ⋮ A computer-assisted existence proof for Emden's equation on an unbounded L-shaped domain ⋮ Bounds to eigenvalues of the Laplacian on L-shaped domain by variational methods ⋮ A hierarchical method for obtaining eigenvalue enclosures

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