An efficient domain‐decomposition pseudo‐spectral method for solving elliptic differential equations | Zendy

MaiDuy N. | Zendy; TranCong T. | Zendy

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An efficient domain‐decomposition pseudo‐spectral method for solving elliptic differential equations

Author(s) -

MaiDuy N.,

TranCong T.

Publication year - 2008

Publication title -

communications in numerical methods in engineering

Language(s) - English

Resource type - Journals

eISSN - 1099-0887

pISSN - 1069-8299

DOI - 10.1002/cnm.987

Subject(s) - chebyshev filter , domain decomposition methods , smoothness , mathematics , domain (mathematical analysis) , scheme (mathematics) , spectral method , differential equation , elliptic partial differential equation , numerical analysis , mathematical analysis , algorithm , finite element method , engineering , structural engineering

In this paper, a new numerical scheme based on non‐overlapping domain decompositions and integrated Chebyshev approximations for solving elliptic differential equations (DEs) is presented. The distinguishing feature of the present scheme is that it achieves a C p continuous solution across the interfaces ( p is the order of the DE). Several test problems are employed to verify the method. The obtained results indicate that the achievement of higher‐order smoothness leads to a significant improvement in accuracy. Copyright © 2007 John Wiley & Sons, Ltd.

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