A local projection stabilized method for fictitious domains

Abstract

In this work a local projection stabilization method is proposed to solve a fictitious domain problem. The method adds a suitable fluctuation term to the formulation thus rendering the natural space for the Lagrange multiplier stable. Stability and convergence are proved and these results are illustrated by a numerical experiment.

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Cited by in corpus (1)

• Projection stabilisation of Lagrange multipliers for the imposition of constraints on interfaces and boundaries