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On the constants in \(hp\)-finite element trace inverse inequalities. (English) Zbl 1038.65116
From the authors’ abstract: We derive inverse trace inequalities for \(hp\)-finite elements. Utilizing orthogonal polynomials, we show how to derive explicit expressions for the constants when considering triangular and tetrahedral elements. We also discuss how to generalize this technique to the general \(d\)-simplex.

MSC:
65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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