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Poincaré--Friedrichs Inequalities for Piecewise H 1 Functions

2003; Society for Industrial and Applied Mathematics; Volume: 41; Issue: 1 Linguagem: Inglês

10.1137/s0036142902401311

ISSN

1095-7170

Autores

Susanne C. Brenner,

Tópico(s)

Advanced Mathematical Modeling in Engineering

Resumo

Poincaré--Friedrichs inequalities for piecewise H1 functions are established. They can be applied to classical nonconforming finite element methods, mortar methods, and discontinuous Galerkin methods.MSC codes65N3046E35KeywordsPoincaré--Friedrichs inequalitiespiecewise $H^1$ functionsnonconforming finite elementsmortar methodsdiscontinuous Galerkin methods

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