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arxiv: math/0607696 · v1 · pith:2CGB434Tnew · submitted 2006-07-27 · 🧮 math.NA · cs.NA

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

classification 🧮 math.NA cs.NA
keywords conditionscurvilinearelementellipticproblemsspectralappliesbabuska--brezzi
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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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