Some nonstandard finite element estimates with applications to Poisson and Signorini problems.
Ben Belgacem, Faker, Brenner, Susanne C. (2001)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Ben Belgacem, Faker, Brenner, Susanne C. (2001)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Layton, W.J., Meir, A.J., Schmidt, P.G. (1997)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Brenner, Susanne C., Gudi, Thirupathi, Sung, Li-Yeng (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Louis Jeanjean, Marco Squassina (2009)
Annales de l'I.H.P. Analyse non linéaire
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Riccardo de Arcangelis (2007)
Annales de l'I.H.P. Analyse non linéaire
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Francesco Maggi, Massimiliano Morini (2004)
ESAIM: Control, Optimisation and Calculus of Variations
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Following the -convergence approach introduced by Müller and Ortiz, the convergence of discrete dynamics for lagrangians with quadratic behavior is established.
Hyon, Yunkyong, Kwak, Do Y. (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Hofreither, Clemens, Langer, Ulrich, Pechstein, Clemens (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Wohlmuth, Barbara I. (2000)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Emmanuel Creusé, Serge Nicaise (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we prove the discrete compactness property for a discontinuous Galerkin approximation of Maxwell's system on quite general tetrahedral meshes. As a consequence, a discrete Friedrichs inequality is obtained and the convergence of the discrete eigenvalues to the continuous ones is deduced using the theory of collectively compact operators. Some numerical experiments confirm the theoretical predictions.