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arxiv: 1106.5612 · v2 · pith:PFSLJLPLnew · submitted 2011-06-28 · 🧮 math.NA

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

Erik Burman This is my paper
classification 🧮 math.NA
keywords boundaryconditionsestimatesimpositionmethodnitschenon-symmetricpenalty
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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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  1. Diffuse Domain Methods with Dirichlet Boundary Conditions

    math.NA 2025-09 unverdicted novelty 7.0

    New coercive diffuse domain methods for Dirichlet conditions derived from mixed formulations and Nitsche's approach, with coercivity proofs and numerical tests showing improved accuracy on Navier-Stokes benchmarks.