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Volume 16, Issue 2
Boundary Element Approximation of Steklov Eigenvalue Problem for Helmholtz Equation

Weijun Tang & Houde Han

J. Comp. Math., 16 (1998), pp. 165-178.

Published online: 1998-04

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  • 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.

  • Keywords

Steklov eigenvalue problem, differential operator, error estimate, boundary element approximation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-16-165, author = {Tang , Weijun and Han , Houde}, title = {Boundary Element Approximation of Steklov Eigenvalue Problem for Helmholtz Equation}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9150.html} }
TY - JOUR T1 - Boundary Element Approximation of Steklov Eigenvalue Problem for Helmholtz Equation AU - Tang , Weijun AU - Han , Houde JO - Journal of Computational Mathematics VL - 2 SP - 165 EP - 178 PY - 1998 DA - 1998/04 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9150.html KW - Steklov eigenvalue problem, differential operator, error estimate, boundary element approximation. AB -

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.

Weijun Tang, Weijun Tang & Houde Han. (1970). Boundary Element Approximation of Steklov Eigenvalue Problem for Helmholtz Equation. Journal of Computational Mathematics. 16 (2). 165-178. doi:
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