A penalty free non-symmetric Nitsche type method for the weak imposition of boundary conditions

Details A penalty free non-symmetric Nitsche type method for the weak imposition of boundary conditions A penalty free non-symmetric Nitsche type method for the weak imposition of boundary conditions

2011-06-28

arxiv.org/abs/1106.5612v2

Mathematics

Numerical Analysis

20 pages, 9 figures

Scientific paper

In this note we show that the non-symmetric version of the classical
Nitsche's method for the weak imposition of boundary conditions is stable
without penalty term. We prove optimal $H^1$-error estimates and
$L^2$-estimates that are suboptimal with half an order in $h$. Both the pure
diffusion and the convection--diffusion problems are discussed.

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