Ghost penalty
From MaRDI portal
Publication:611172
DOI10.1016/j.crma.2010.10.006zbMath1204.65142OpenAlexW4236938392MaRDI QIDQ611172
Publication date: 14 December 2010
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2010.10.006
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fictitious domain methods for boundary value problems involving PDEs (65N85)
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Cites Work
- Unnamed Item
- A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Error analysis of a fictitious domain method applied to a Dirichlet problem
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Numerical Analysis of a Finite Element/Volume Penalty Method
- A New Fictitious Domain Approach Inspired by the Extended Finite Element Method
- Approximate imposition of boundary conditions in immersed boundary methods
- Evaluation of the condition number in linear systems arising in finite element approximations
