A variant of Nitsche's method

DOI10.1016/j.crma.2018.11.002zbMath1407.65281OpenAlexW2900829288WikidataQ128986644 ScholiaQ128986644MaRDI QIDQ1632831

Roland Becker

Publication date: 17 December 2018

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.2018.11.002

zbMATH Keywords

Poisson problemNitsche's methodCourant element

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
• The mortar finite element method with Lagrange multipliers
• Stabilized explicit coupling for fluid-structure interaction using Nitsche's method
• 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)
• The finite element method with Lagrangian multipliers
• A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis
• A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
• Total Flux Estimates for a Finite-Element Approximation of Elliptic Equations
• An Interior Penalty Finite Element Method with Discontinuous Elements
• The Finite Element Method with Penalty
• A finite element method for domain decomposition with non-matching grids
• A finite element method on composite grids based on Nitsche's method

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