A conforming enriched finite element method for elliptic interface problems

DOI10.1016/j.apnum.2017.12.011zbMath1382.65420OpenAlexW2776725317MaRDI QIDQ1696822

Hua Wang, Jinru Chen, Pengtao Sun, Fangfang Qin

Publication date: 15 February 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.12.011

zbMATH Keywords

Galerkin methodstabilizationnumerical experimentserror boundelliptic interface problemsconforming enriched finite elementinterface-unfitted mesh

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (13)

A new parameter free partially penalized immersed finite element and the optimal convergence analysis ⋮ An immersed Raviart-Thomas mixed finite element method for elliptic interface problems on unfitted meshes ⋮ A two-grid immersed finite element method with the Crank-Nicolson time scheme for semilinear parabolic interface problems ⋮ Construction of discontinuous enrichment functions for enriched or generalized FEM's for interface elliptic problems in 1D ⋮ High-order weak Galerkin scheme for \(\mathbf{H} (\mathrm{div})\)-elliptic interface problems ⋮ High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions ⋮ FEM-IDS for a second order strongly damped wave equation with memory ⋮ Unnamed Item ⋮ A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems ⋮ An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients ⋮ A conforming enriched finite element method for Stokes interface problems ⋮ Stable generalized finite element method (SGFEM) for parabolic interface problems ⋮ Optimal convergence analysis of a linearized second-order BDF-PPIFE method for semi-linear parabolic interface problems

Cites Work

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