Two-dimensional mesh redistribution and solution of singular boundary value problems

Sun, Weiwei

doi:10.1002/(sici)1099-0887(199809)14:9<797::aid-cnm188>3.0.co;2-i

Commun. Numer. Meth. Engng.

1998

DOI: 10.1002/(sici)1099-0887(199809)14:9<797::aid-cnm188>3.0.co;2-i

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Two-dimensional mesh redistribution and solution of singular boundary value problems

Weiwei Sun

Abstract: In this paper, an adaptive mesh method is employed to solve a class of singular boundary value problems. The approach is based on an area-preserving map and some mesh shape control in twodimensional space. Two benchmark problems, which both involve singularities in physical domains, are tested. #

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Cited by 4 publications

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Two‐dimensional adaptive mesh generation

Zhang

Jia

Wang

2007

Numerical Methods in Fluids

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SUMMARYIn this paper, a two-dimensional adaptive elliptic mesh generation system, derived from the Ryskin and Leal (RL) orthogonal mesh generation system based on the orthogonal condition (orthogonality) and the cell area equal-distribution principle (adaptivity), is presented. The proposed generation system takes into account not only the mesh orthogonality and adaptivity but also the mesh smoothness by adopting a method that the distortion functions is determined by both the scale factors and the averaged scale factors of the constant mesh lines. Examples and application show that the proposed generation system is effective and easy to use.

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Two‐dimensional adaptive mesh generation

Zhang

Jia

Wang

2007

Numerical Methods in Fluids

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Error estimates and adaptive finite element methods

Mackerle

2001

Engineering Computations

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2D and 3D finite element meshing and remeshing

Mackerle

2001

Engineering Computations

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Gives a bibliographical review of the finite element meshing and remeshing from the theoretical as well as practical points of view. Topics such as adaptive techniques for meshing and remeshing, parallel processing in the finite element modelling, etc. are also included. The bibliography at the end of this paper contains 1,727 references to papers, conference proceedings and theses/dissertations dealing with presented subjects that were published between 1990 and 2001.

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Two-dimensional mesh redistribution and solution of singular boundary value problems

Cited by 4 publications

References 12 publications

Two‐dimensional adaptive mesh generation

Two‐dimensional adaptive mesh generation

Error estimates and adaptive finite element methods

2D and 3D finite element meshing and remeshing

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