Preprint 35/2009

Least-squares hp/spectral element method for elliptic problems

Kishore Kumar Naraparaju and G. Naga Raju

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Submission date: 17. Jul. 2009 (revised version: August 2009)
Pages: 28
published in: Applied numerical mathematics, 60 (2010) 1/2, p. 38-54 
DOI number (of the published article): 10.1016/j.apnum.2009.08.008
MSC-Numbers: 65M70, 65N35, 65Y05
Keywords and phrases: Geometric mesh, least-squares solution, preconditioner, auxiliary mapping
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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 formula7 and formula9 as well as the oscillating singularities of type formula11

15.06.2020, 02:14