A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems
From MaRDI portal
Publication:2679366
DOI10.1016/j.camwa.2022.11.020OpenAlexW4310860917MaRDI QIDQ2679366
Lina Song, Fan Liu, Qiushuo Qin
Publication date: 19 January 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.11.020
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mechanics of deformable solids (74-XX)
Related Items (1)
Cites Work
- Unnamed Item
- Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media
- Influence of several factors in the generalized finite difference method
- An \(h\)-adaptive method in the generalized finite differences
- Meshless analysis of elliptic interface boundary value problems
- Direct meshless local Petrov-Galerkin method for elliptic interface problems with applications in electrostatic and elastostatic
- Solving elliptical equations in 3D by means of an adaptive refinement in generalized finite differences
- A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique
- A generalized finite difference method for solving elliptic interface problems
- A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading
- An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems
- Linear relaxation schemes for the Allen-Cahn-type and Cahn-Hilliard-type phase field models
- An extended mixed finite element method for elliptic interface problems
- An augmented immersed finite element method for variable coefficient elliptic interface problems in two and three dimensions
- Generalized finite difference method for solving the bending problem of variable thickness thin plate
- An efficient meshfree method based on Pascal polynomials and multiple-scale approach for numerical solution of 2-D and 3-D second order elliptic interface problems
- A mesh-free method using piecewise deep neural network for elliptic interface problems
- Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems
- An immersed finite element method for elliptic interface problems in three dimensions
- The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems
- Solving Monge-Ampère equation in 2D and 3D by generalized finite difference method
- Space-time generalized finite difference nonlinear model for solving unsteady Burgers' equations
- A Nitsche extended finite element method for the biharmonic interface problem
- Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems
- The finite element method for elliptic equations with discontinuous coefficients
- The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars
- Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation
- The space-time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation
- The Adaptive Immersed Interface Finite Element Method for Elasticity Interface Problems
- A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
- An efficient meshfree point collocation moving least squares method to solve the interface problems with nonhomogeneous jump conditions
- Approximation capability of a bilinear immersed finite element space
- Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
- Adaptive strategies to improve the application of the generalized finite differences method in 2D and 3D
- Deep Unfitted Nitsche Method for Elliptic Interface Problems
- Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals
- Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory
- A High-Order Staggered Meshless Method for Elliptic Problems
This page was built for publication: A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems
