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

Pravir Dutt, Satyendra Tomar

math.NAarXiv:math/0607696

Abstract

In this paper we show that the h-p spectral element method developed in 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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