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math.NA2017
Nonlinear discontinuous Petrov-Galerkin methods
Carsten Carstensen, Philipp Bringmann, Friederike Hellwig +1
The discontinuous Petrov-Galerkin method is a minimal residual method with broken test spaces and is introduced for a nonlinear model problem in this paper. Its lowest-order versio…
math.NA2017
Constants in Discrete Poincaré and Friedrichs Inequalities and Discrete Quasi-Interpolation
Carsten Carstensen, Friederike Hellwig
This paper provides a discrete Poincaré inequality in space dimensions on a simplex with explicit constants. This inequality bounds the norm of the piecewise derivative of…