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

Abstract

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.

35 pages, 6 figures