Interface-penalty finite element methods for interface problems in \(H^1\), \(\boldsymbol{H} (\mathbf{curl})\), and \(\boldsymbol{H} (\operatorname{div})\)

DOI10.1016/j.cma.2020.113137zbMath1442.65382OpenAlexW3029205827MaRDI QIDQ2186894

Weiying Zheng, Linbo Zhang, Xiaodi Zhang, Huaqing Liu

Publication date: 10 June 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113137

zbMATH Keywords

interface problemNitsche's methodMaxwell's equationunfitted meshinterface-penalty finite element method

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)

Related Items (12)

High order interface-penalty finite element methods for elasticity interface problems in 3D ⋮ Immersed virtual element methods for elliptic interface problems in two dimensions ⋮ A New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex Domains ⋮ A reconstructed discontinuous approximation on unfitted meshes to \(H(\mathrm{curl})\) and \(H(\mathrm{div})\) interface problems ⋮ Immersed virtual element methods for electromagnetic interface problems in three dimensions ⋮ High-order weak Galerkin scheme for \(\mathbf{H} (\mathrm{div})\)-elliptic interface problems ⋮ High-order unfitted characteristic finite element methods for moving interface problem of Oseen equations ⋮ A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems ⋮ An Arbitrary Order Reconstructed Discontinuous Approximation to Biharmonic Interface Problem ⋮ High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions ⋮ INN: interfaced neural networks as an accessible meshless approach for solving interface PDE problems ⋮ A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh

Uses Software

• CutFEM

Cites Work

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