A least-squares collocation spectral elements formulation for solving PDEs in complex geometry domains.

International Journal of Applied Mathematics and Computation

Benjamin Mampassi¹  Login Some²  Aboubakari Traore¹ 

[1] Department of mathematics and computer sciences, Dakar University.$$;Department of mathematics and computer sciences, Ouagadougou University$$

关键词: Least-squares formulation;    Spectral elements;    Fekete points;    di?erentiation matrices;   

DOI  :  10.0000/ijamc.2010.2.4.89

来源: PSIT Kanpur

【 摘 要 】

A least squares collocation scheme is used to solve PDEs defined on a complex geometry domain. Triangular finite elements are used to build a macro-mesh of the whole domain and Fekete points are used as collocation points. We combine together the standard least squares method and spectral method to compute the global solution. The assembling process of local solutions is explained through an algorithm. The success of this method is studied throughout a test problem. Numerical results prove the accuracy of the method which takes into account the boundary conditions.

【 授权许可】

Unknown