Boundary Element Approximation of Steklov Eigenvalue Problem for Helmholtz Equation
Year: 1998
Author: Weijun Tang, Houde Han
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 2 : pp. 165–178
Abstract
Steklov eigenvalue problem of Helmholtz equation is considered in the present paper. Steklov eigenvalue problem is reduced to a new variational formula on the boundary of a given domain, in which the self-adjoint property of the original differential operator is kept and the calculating of hyper-singular integral is avoided. A numerical example showing the efficiency of this method and an optimal error estimate are given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1998-JCM-9150
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 2 : pp. 165–178
Published online: 1998-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Steklov eigenvalue problem differential operator error estimate boundary element approximation.
Author Details
Weijun Tang Email
Houde Han Email