Immersed virtual element methods for elliptic interface problems in two dimensions
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Publication:2674281
DOI10.1007/s10915-022-01949-xzbMath1497.65223arXiv2108.00619OpenAlexW4294433699WikidataQ114225534 ScholiaQ114225534MaRDI QIDQ2674281
Publication date: 22 September 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.00619
de Rham complexfitted mesh methodsvirtual element methodsimmersed finite element methods\(H^1\) and \(\mathbf{H}(\mathrm{curl})\) interface problemsunfitted mesh methods
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) de Rham theory in global analysis (58A12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (11)
The virtual element method ⋮ An immersed weak Galerkin method for elliptic interface problems on polygonal meshes ⋮ Immersed virtual element methods for electromagnetic interface problems in three dimensions ⋮ A conforming virtual element method based on unfitted meshes for the elliptic interface problem ⋮ High-order weak Galerkin scheme for \(\mathbf{H} (\mathrm{div})\)-elliptic interface problems ⋮ A nonconforming immersed virtual element method for elliptic interface problems ⋮ The role of stabilization in the virtual element method: a survey ⋮ An extended virtual element method for elliptic interface problems ⋮ The virtual element method for the 3D resistive magnetohydrodynamic model ⋮ An immersed Crouzeix-Raviart finite element method in 2D and 3D based on discrete level set functions ⋮ Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges
Uses Software
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