Stability estimates for h-p spectral element methods for general elliptic problems on curvilinear domains

Details Stability estimates for h-p spectral element methods for general elliptic problems on curvilinear domains Stability estimates for h-p spectral element methods for general elliptic problems on curvilinear domains

2006-07-27

arxiv.org/abs/math/0607696v1

Proc. Indian Acad. Sci. (Math. Sci.) Vol. 113, No. 4, 395-429 (2003)

Mathematics

Numerical Analysis

35 pages, 6 figures

Scientific paper

In this paper we show that the h-p spectral element method developed in
\cite{pdstrk1,tomar-01,tomar-dutt-kumar-02} applies to elliptic problems in
curvilinear polygons with mixed Neumann and Dirichlet boundary conditions
provided that the Babuska--Brezzi inf--sup conditions are satisfied.

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