Study of the fragile points method for solving two-dimensional linear and nonlinear wave equations on complex and cracked domains

DOI10.1016/j.enganabound.2022.09.036zbMath1521.74386OpenAlexW4306963117MaRDI QIDQ6044704

Saeid Abbasbandy, Donya Haghighi, Elyas Shivanian

Publication date: 22 May 2023

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.09.036

zbMATH Keywords

wave equationfinite difference methodsVoronoi diagramfragile points methodnumerical flux corrections

Mathematics Subject Classification ID

Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (1)

Meshless fragile points method (FPM) in a 2D and 3D potential compressible subsonic fluid flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Smoothed particle hydrodynamics (SPH): an overview and recent developments
• An augmented approach for Stokes equations with a discontinuous viscosity and singular forces
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• The immersed interface method using a finite element formulation
• The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods
• An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory
• Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow
• The fragile points method (FPM) to solve two-dimensional hyperbolic telegraph equation using point stiffness matrices
• A new fragile points method (FPM) in computational mechanics, based on the concepts of point stiffnesses and numerical flux corrections
• Immersed Interface Methods for Neumann and Related Problems in Two and Three Dimensions
• Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation
• A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form
• Element‐free Galerkin methods
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A finite element method for crack growth without remeshing
• A GALERKIN FINITE ELEMENT METHOD TO SOLVE FRACTIONAL DIFFUSION AND FRACTIONAL DIFFUSION-WAVE EQUATIONS
• Discontinuous Galerkin Finite Element Method for the Wave Equation
• Modeling holes and inclusions by level sets in the extended finite element method

This page was built for publication: Study of the fragile points method for solving two-dimensional linear and nonlinear wave equations on complex and cracked domains