On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1

By Martin Vohralík. 2005

86 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/231ab37042ecd0935f7506902b62cdf08ecfefc7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Alexandre Ern
2. Martin Vohralík
3. Linda El Alaoui
4. Petr Knobloch
5. Volker John

In Computational Theory and Mathematics

1. Alexandre Ern
2. Martin Vohralík
3. Linda El Alaoui
4. Petr Knobloch
5. Volker John

In Mechanics of Materials

1. Martin Vohralík
2. Linda El Alaoui
3. Alexandre Ern
4. Alexander Linke
5. Franz Chouly

Citations in the corpus

• Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems (2011, background): “…D = 0 or that ( m h , 1) ∂D ∩ ∂ Ω = 0 since m h ∈ M ( S D )) which can be proven by proceeding as above using the usual discrete Poincar´e/Friedrichs inequality in the L 2 -setting (for nonconvex D , an upper bound only depending on κ can be inferred from [38]) and the norm equivalence constants.”