Finite-difference algorithm with local time-space grid refinement for simulation of waves

DOI10.1007/s10596-011-9247-1zbMath1253.76078OpenAlexW2033811429MaRDI QIDQ695720

Vladimir Tcheverda, Vadim Lisitsa, Galina Vitalievna Reshetova

Publication date: 17 December 2012

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-011-9247-1

zbMATH Keywords

wave equationfinite differencesseismologylocal mesh refinementlocal time steppingdiscontinuous grids

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Seismology (including tsunami modeling), earthquakes (86A15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to geophysics (86-08)

Related Items

Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation, A generalized multiscale finite element method for elastic wave propagation in fractured media, A numerical solution of the membrane eigenproblem by the model order reduction, Mimetic finite differences for boundaries misaligned with grid nodes, Numerical simulation of wave propagation in 3D elastic media with viscoelastic formations, Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media, Dispersion analysis of discontinuous Galerkin method on triangular mesh for elastic wave equation

Uses Software

• AMRCLAW

Cites Work

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• The Huygens subgridding for the numerical solution of the Maxwell equations
• On the interface error analysis for finite difference wave simulation
• Adaptive mesh refinement for hyperbolic partial differential equations
• A conservative space-time mesh refinement method for the 1-D wave equation. I: Construction
• A conservative space-time mesh refinement method for the 1-D wave equation. II: Analysis
• Mixed problems for hyperbolic equations. I: Energy inequalities
• Mixed problems for hyperbolic equations. II: Existence theorems with zero initial datas and energy inequalities with initial datas
• Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
• Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations
• LOCAL SPACE-TIME REFINEMENT FOR THE ONE-DIMENSIONAL WAVE EQUATION
• Logically rectangular finite volume methods with adaptive refinement on the sphere
• Space–time adaptive numerical methods for geophysical applications
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Stability of Interfaces with Mesh Refinement
• Overall properties of a cracked solid
• Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems
• A Family of Numerical Schemes for the Computation of Elastic Waves
• A Huygens Subgridding for the FDTD Method
• Long-wave elastic anisotropy produced by horizontal layering
• Initial boundary value problems for hyperbolic systems
• An Error Analysis of Conservative Space-Time Mesh Refinement Methods for the One-Dimensional Wave Equation
• Modeling the propagation of elastic waves using a modified finite difference grid.