A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity Article Swipe

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Mathematics Compressibility Boundary (topology) Penalty method Mathematical economics Elasticity (physics) Applied mathematics Mathematical analysis Calculus (dental) Mathematical optimization Physics Mechanics Medicine Thermodynamics Dentistry

Thomas Boiveau , Erik Burman ·

YOU? · · 2015 · Open Access · · DOI: https://doi.org/10.1093/imanum/drv042 · OA: W2339765736

In this paper, we study the stability of the nonsymmetric version of the Nitsche method without penalty for compressible and incompressible elasticity. For the compressible case we prove convergence of the error in the <f>$H^1$</f>- and <f>$L^2$</f>-norms. In the incompressible case we use a Galerkin least squares pressure stabilization and we prove convergence in the <f>$H^1$</f>-norm for the velocity and convergence of the pressure in the <f>$L^2$</f>-norm.