A note on the application of the generalized finite difference method to seismic wave propagation in 2D

DOI10.1016/j.cam.2011.04.005zbMath1236.86011OpenAlexW2090838679MaRDI QIDQ415228

Eduardo Salete, Luis Gavete, Juan José Benito, Francisco Ureña

Publication date: 11 May 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.04.005

zbMATH Keywords

moving least squaresmeshless methodsgeneralized finite difference methodseismic wavesinstructions

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (23)

An efficient meshless method for bimaterial interface cracks in 2D thin-layered coating structures ⋮ Stability of perfectly matched layer regions in generalized finite difference method for wave problems ⋮ Generalized finite difference method for solving two-dimensional inverse Cauchy problems ⋮ The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation ⋮ A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials ⋮ Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials ⋮ Time series dual boundary element model for P and SV waves propagation in half-space ⋮ The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars ⋮ Solving inverse Stokes problems by modified collocation Trefftz method ⋮ A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis ⋮ A Modified Finite Particle Method: Multi-dimensional elasto-statics and dynamics ⋮ A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials ⋮ A hybrid meshless method for the solution of the second order hyperbolic telegraph equation in two space dimensions ⋮ Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method ⋮ Application of a hybrid mesh-free method for shock-induced thermoelastic wave propagation analysis in a layered functionally graded thick hollow cylinder with nonlinear grading patterns ⋮ Generalized finite difference method for solving two-dimensional non-linear obstacle problems ⋮ A GFDM with PML for seismic wave equations in heterogeneous media ⋮ Solving second order non-linear elliptic partial differential equations using generalized finite difference method ⋮ Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals ⋮ An effective numeric method for different formulations of the elastic wave propagation problem in isotropic medium. ⋮ Generalized finite differences for solving 3D elliptic and parabolic equations ⋮ Implementations with generalized finite differences of the displacements and velocity-stress formulations of seismic wave propagation problem ⋮ A new meshless approach to deal with interfaces in seismic problems

Cites Work

• Unnamed Item
• Application of the generalized finite difference method to solve the advection-diffusion equation
• Influence of several factors in the generalized finite difference method
• An \(h\)-adaptive method in the generalized finite differences
• Solving parabolic and hyperbolic equations by the generalized finite difference method
• Application of the Generalized Finite Difference Method to improve the approximated solution of pdes
• A posteriorierror estimator and indicator in generalized finite differences. Application to improve the approximated solution of elliptic PDEs

This page was built for publication: A note on the application of the generalized finite difference method to seismic wave propagation in 2D