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MiS Preprint
35/2009

Least-squares hp/spectral element method for elliptic problems

Kishore Kumar Naraparaju and G. Naga Raju

Abstract

The solution of elliptic boundary value problems often leads to singularities due to non-smoothness of the domains on which the problem is posed. This paper studies the performance of the nonconforming hp/spectral element method for elliptic problems on non smooth domains. This paper deals with monotone singularities of type rα and rαlogδr as well as the oscillating singularities of type rαsin(ϵlogr).

Received:
17.07.09
Published:
28.07.09
MSC Codes:
65M70, 65N35, 65Y05
Keywords:
Geometric mesh, least-squares solution, preconditioner, auxiliary mapping

Related publications

inJournal
2010 Repository Open Access
Kishore Kumar Naraparaju and G. Naga Raju

Least-squares hp/spectral element method for elliptic problems

In: Applied numerical mathematics, 60 (2010) 1/2, pp. 38-54