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Volume 18, Issue 6
Infinite Element Method for the Exterior Problems of the Helmholtz Equations

Lung-An Ying

J. Comp. Math., 18 (2000), pp. 657-672.

Published online: 2000-12

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  • Abstract

There are two cases of the exterior problems of the Helmholtz equation. If λ≥0 the bilinear form is coercive, and if λ＜0 it is the scattering problem. We give a new approach of the infinite element method, which enables us to solve these exterior problems as well as corner problems. A numerical example of the scattering problem is given.

  • Keywords

Helmholtz equation, Exterior problem, Infinite element method.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-657, author = {Ying , Lung-An}, title = {Infinite Element Method for the Exterior Problems of the Helmholtz Equations}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {6}, pages = {657--672}, abstract = {

There are two cases of the exterior problems of the Helmholtz equation. If λ≥0 the bilinear form is coercive, and if λ＜0 it is the scattering problem. We give a new approach of the infinite element method, which enables us to solve these exterior problems as well as corner problems. A numerical example of the scattering problem is given.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9076.html} }
TY - JOUR T1 - Infinite Element Method for the Exterior Problems of the Helmholtz Equations AU - Ying , Lung-An JO - Journal of Computational Mathematics VL - 6 SP - 657 EP - 672 PY - 2000 DA - 2000/12 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9076.html KW - Helmholtz equation, Exterior problem, Infinite element method. AB -

There are two cases of the exterior problems of the Helmholtz equation. If λ≥0 the bilinear form is coercive, and if λ＜0 it is the scattering problem. We give a new approach of the infinite element method, which enables us to solve these exterior problems as well as corner problems. A numerical example of the scattering problem is given.

Ying , Lung-An. (2000). Infinite Element Method for the Exterior Problems of the Helmholtz Equations. Journal of Computational Mathematics. 18 (6). 657-672. doi:
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