High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems

DOI10.1016/J.AML.2022.108479OpenAlexW4306804937MaRDI QIDQ2106115

Quanxiang Wang, Lina Song, Qiushuo Qin

Publication date: 8 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108479

zbMATH Keywords

elliptic interface problemsgeneralized finite difference methodcomplex interfaceshigh-order meshless method

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)

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Cites Work

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• Influence of several factors in the generalized finite difference method
• Higher degree immersed finite element spaces constructed according to the actual interface
• A generalized finite difference method for solving Stokes interface problems
• A generalized finite difference method for solving elliptic interface problems
• A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading
• High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions
• New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions
• High-order extended finite element methods for solving interface problems
• The space-time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation
• An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems
• High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface
• A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems

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