A modified scaled boundary finite-element method for problems with parallel side-faces. Part I Theoretical developments

B. Li; Liang Cheng; Andrew Deeks; B. Teng

doi:10.1016/j.apor.2005.11.008

A modified scaled boundary finite-element method for problems with parallel side-faces. Part I Theoretical developments

B. Li, Liang Cheng, Andrew Deeks, B. Teng

Graduate Research School

Research output: Contribution to journal › Article › peer-review

48 Citations (Scopus)

Abstract

A modified scaled boundary finite-element method (SBFEM) for problems with parallel side-faces is presented in this study. To overcome the inherent difficulty of the original SBFEM for domains with parallel side-faces, a new type of local co-ordinate system is proposed. The new local co-ordinate system allows the so-called scaling centre of the SBFEM to move freely along an arbitrary curve and thus eliminates the non-parallel side-face restriction in the original SBFEM. The modified SBFEM equations are derived based on a weighted residual approach. It is found that the modified SBFEM solution retains the analytical feature in the direction parallel to the side-faces and satisfies the boundary conditions at infinity exactly, as in the original SBFEM. This paper develops a complete scaled boundary finite-element solution to a two-dimensional Laplace's equation with Neumann and Robin boundary conditions in a semi-infinite domain with parallel boundaries. (C) 2005 Published by Elsevier Ltd.

Original language	English
Pages (from-to)	216-223
Journal	Applied Ocean Research
Volume	27
Issue number	4-5
DOIs	https://doi.org/10.1016/j.apor.2005.11.008
Publication status	Published - 2005

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10.1016/j.apor.2005.11.008

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abstract = "A modified scaled boundary finite-element method (SBFEM) for problems with parallel side-faces is presented in this study. To overcome the inherent difficulty of the original SBFEM for domains with parallel side-faces, a new type of local co-ordinate system is proposed. The new local co-ordinate system allows the so-called scaling centre of the SBFEM to move freely along an arbitrary curve and thus eliminates the non-parallel side-face restriction in the original SBFEM. The modified SBFEM equations are derived based on a weighted residual approach. It is found that the modified SBFEM solution retains the analytical feature in the direction parallel to the side-faces and satisfies the boundary conditions at infinity exactly, as in the original SBFEM. This paper develops a complete scaled boundary finite-element solution to a two-dimensional Laplace's equation with Neumann and Robin boundary conditions in a semi-infinite domain with parallel boundaries. (C) 2005 Published by Elsevier Ltd.",

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AU - Li, B.

AU - Cheng, Liang

AU - Deeks, Andrew

AU - Teng, B.

PY - 2005

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AB - A modified scaled boundary finite-element method (SBFEM) for problems with parallel side-faces is presented in this study. To overcome the inherent difficulty of the original SBFEM for domains with parallel side-faces, a new type of local co-ordinate system is proposed. The new local co-ordinate system allows the so-called scaling centre of the SBFEM to move freely along an arbitrary curve and thus eliminates the non-parallel side-face restriction in the original SBFEM. The modified SBFEM equations are derived based on a weighted residual approach. It is found that the modified SBFEM solution retains the analytical feature in the direction parallel to the side-faces and satisfies the boundary conditions at infinity exactly, as in the original SBFEM. This paper develops a complete scaled boundary finite-element solution to a two-dimensional Laplace's equation with Neumann and Robin boundary conditions in a semi-infinite domain with parallel boundaries. (C) 2005 Published by Elsevier Ltd.

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DO - 10.1016/j.apor.2005.11.008

M3 - Article

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SP - 216

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JO - Applied Ocean Research

JF - Applied Ocean Research

IS - 4-5

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A modified scaled boundary finite-element method for problems with parallel side-faces. Part I Theoretical developments

Abstract

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