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Volume 26, Issue 3
A FEM-BEM Formulation for an Exterior Quasilinear Elliptic Problem in the Plane

Dongjie Liu & Dehao Yu

J. Comp. Math., 26 (2008), pp. 378-389.

Published online: 2008-06

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  • Abstract

In this paper, the finite element method and the boundary element method are combined to solve numerically an exterior quasilinear elliptic problem. Based on an appropriate transformation and the Fourier series expansion, the exact quasilinear artificial boundary conditions and a series of the corresponding approximations for the given problem are presented. Then the original problem is reduced into an equivalent problem defined in a bounded computational domain. We provide error estimate for the Galerkin method. Numerical results are presented to illustrate the theoretical results.

  • Keywords

Boundary element, Coupling, Finite element, Quasilinear problems.

  • AMS Subject Headings

65N38.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-378, author = {Dongjie Liu and Dehao Yu}, title = {A FEM-BEM Formulation for an Exterior Quasilinear Elliptic Problem in the Plane}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {3}, pages = {378--389}, abstract = {

In this paper, the finite element method and the boundary element method are combined to solve numerically an exterior quasilinear elliptic problem. Based on an appropriate transformation and the Fourier series expansion, the exact quasilinear artificial boundary conditions and a series of the corresponding approximations for the given problem are presented. Then the original problem is reduced into an equivalent problem defined in a bounded computational domain. We provide error estimate for the Galerkin method. Numerical results are presented to illustrate the theoretical results.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8632.html} }
TY - JOUR T1 - A FEM-BEM Formulation for an Exterior Quasilinear Elliptic Problem in the Plane AU - Dongjie Liu & Dehao Yu JO - Journal of Computational Mathematics VL - 3 SP - 378 EP - 389 PY - 2008 DA - 2008/06 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8632.html KW - Boundary element, Coupling, Finite element, Quasilinear problems. AB -

In this paper, the finite element method and the boundary element method are combined to solve numerically an exterior quasilinear elliptic problem. Based on an appropriate transformation and the Fourier series expansion, the exact quasilinear artificial boundary conditions and a series of the corresponding approximations for the given problem are presented. Then the original problem is reduced into an equivalent problem defined in a bounded computational domain. We provide error estimate for the Galerkin method. Numerical results are presented to illustrate the theoretical results.

Dongjie Liu and Dehao Yu. (2008). A FEM-BEM Formulation for an Exterior Quasilinear Elliptic Problem in the Plane. Journal of Computational Mathematics. 26 (3). 378-389. doi:
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