A numerical method for handling boundary and transmission conditions

DOI10.1016/j.mcm.2012.11.006zbMath1297.65144OpenAlexW2090620695MaRDI QIDQ462777

Franck Assous, Michael Michaeli

Publication date: 21 October 2014

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2012.11.006

zbMATH Keywords

elasticitycrack tipMaxwell equationsNitsche methodsingular domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• Solving Maxwell's equations in singular domains with a Nitsche type method
• Axisymmetric contact problem for an elastic layer and an elastic foundation
• Nitsche's method for coupling non-matching meshes in fluid-structure vibration problems
• Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
• Nitsche type mortaring for some elliptic problem with corner singularities
• On some techniques for approximating boundary conditions in the finite element method
• A Nitsche type method for stress fields calculation in dissimilar material with interface crack
• Singularities of electromagnetic fields in polyhedral domains
• 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
• Interior penalty discontinuous Galerkin method for Maxwell's equations: optimal L2-norm error estimates

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