A Well-Conditioned, Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

DOI10.4208/NMTMA.OA-2019-0053zbMath1463.65370OpenAlexW2993084798MaRDI QIDQ5143940

Fei Song, Weibing Deng, Xiaoxiao He

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2019-0053

zbMATH Keywords

condition numbernonconforming finite elementelliptic interface problems

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) Numerical computation of matrix norms, conditioning, scaling (65F35)

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A stabilized nonconforming Nitsche's extended finite element method for Stokes interface problems ⋮ Deep Unfitted Nitsche Method for Elliptic Interface Problems ⋮ A two-level additive Schwarz preconditioner for the Nitsche extended finite element approximation of elliptic interface problems ⋮ An extended virtual element method for elliptic interface problems ⋮ An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems

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