High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems
type: Item
instance of: scholarly article
title: High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems
author: Qiushuo Qin
author: Lina Song
author: Quanxiang Wang
published in: Applied Mathematics Letters
publication date: 2022-12-08T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 7630025
zbMATH Keywords: high-order meshless method
zbMATH Keywords: generalized finite difference method
zbMATH Keywords: elliptic interface problems
zbMATH Keywords: complex interfaces
MaRDI profile type: Publication
full work available at URL: j.aml.2022.108479
OpenAlex ID: W4306804937
cites work: A \(p\)-th degree immersed finite element for boundary value problems with discontinuous coefficients
cites work: Higher degree immersed finite element spaces constructed according to the actual interface
cites work: A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems
cites work: New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions
cites work: An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems
cites work: High-order extended finite element methods for solving interface problems
cites work: High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions
cites work: High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface
cites work: Influence of several factors in the generalized finite difference method
cites work: A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading
cites work: The space-time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation
cites work: A generalized finite difference method for solving elliptic interface problems
cites work: A generalized finite difference method for solving Stokes interface problems
DOI: 10.1016/J.AML.2022.108479
Recommended article: A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems
Recommended article: Q4422923
Recommended article: High-order discontinuous Galerkin method for solving elliptic interface problems
Recommended article: Higher order meshless schemes applied to the finite element method in elliptic problems
Recommended article: High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces
Recommended article: An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation
Recommended article: High-order finite difference schemes for elliptic problems with intersecting interfaces
Recommended article: High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh
Recommended article: A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients
Recommended article: A generalized finite difference method for solving elliptic interface problems
description: scientific article; zbMATH DE number 7630025