The fragile points method (FPM) to solve two-dimensional hyperbolic telegraph equation using point stiffness matrices

DOI10.1016/j.enganabound.2021.09.018OpenAlexW3207443428WikidataQ115575491 ScholiaQ115575491MaRDI QIDQ2058090

Leiting Dong, Elyas Shivanian, Donya Haghighi, Satya N. Atluri, Saeid Abbasbandy

Publication date: 7 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.09.018

zbMATH Keywords

finite difference schemeVoronoi diagramfragile points methodnumerical flux corrections

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (4)

Study of the fragile points method for solving two-dimensional linear and nonlinear wave equations on complex and cracked domains ⋮ Meshless fragile points method (FPM) in a 2D and 3D potential compressible subsonic fluid flow ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• Matlab
• FEAPpv

Cites Work

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• Singularly perturbed telegraph equations with applications in the random walk theory
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Local integration of 2-D fractional telegraph equation via moving least squares approximation
• A new fragile points method (FPM) in computational mechanics, based on the concepts of point stiffnesses and numerical flux corrections
• A method based on meshless approach for the numerical solution of the two-space dimensional hyperbolic telegraph equation
• A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions
• Wave splitting of the telegraph equation in R ³ and its application to inverse scattering
• Element‐free Galerkin methods
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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