Numerical stability in the calculation of eigenfrequencies using integral equations
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Publication:5937196
DOI10.1016/S0377-0427(99)00373-8zbMath1010.65046WikidataQ126377048 ScholiaQ126377048MaRDI QIDQ5937196
Marcela Miguez, Jean-Claude Nédélec, Mario Durán
Publication date: 12 July 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
instabilityintegral equationspectrumHelmholtz equationintegral representationseigenfrequency computationelliptic operator
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) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
- On the eigenvalues of second-order spectral differentiation operators
- A method of finding the eigenvalues and eigenfunctions of self-adjoint elliptic operators
- Curved finite element methods for the solution of singular integral equations on surfaces in \(R^3\)
- A finite element method for some integral equations of the first kind
- Nonconforming finite element methods for eigenvalue problems in linear plate theory
- Linear and quasilinear elliptic equations
- Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
- Eigenvalue Approximation by Mixed and Hybrid Methods
- Mixed and Hybrid Finite Element Methods
- On spectral approximation. Part 2. Error estimates for the Galerkin method
- Determination of Scattering Frequencies for an Elastic Floating Body
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