How to Incorporate the Spring-Mass Conditions in Finite-Difference Schemes

DOI10.1137/S1064827501385931zbMath1035.35062OpenAlexW2050034266MaRDI QIDQ4442117

Joël Piraux, Bruno Lombard

Publication date: 20 January 2004

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827501385931

zbMATH Keywords

discontinuous coefficientshyperbolic conservation lawsjump conditionselastic wavesimperfect contactinterface methods

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs with low regular coefficients and/or low regular data (35R05) First-order hyperbolic systems (35L40)

Related Items (13)

A Galerkin formulation of the MIB method for three dimensional elliptic interface problems ⋮ Modeling 1-D elastic P-waves in a fractured rock with hyperbolic jump conditions ⋮ Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces ⋮ A homogenized model accounting for dispersion, interfaces and source points for transient waves in 1D periodic media ⋮ An energy preserving time scheme based on the mortar element method for effective transmission conditions between fluid and solid domains in transient wave propagation problems ⋮ Time-domain simulation of wave propagation across resonant meta-interfaces ⋮ Numerical treatment of two-dimensional interfaces for acoustic and elastic waves. ⋮ Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities ⋮ MIB Galerkin method for elliptic interface problems ⋮ MIB method for elliptic equations with multi-material interfaces ⋮ High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources ⋮ Computational methods for optical molecular imaging ⋮ Finite volume formulation of the MIB method for elliptic interface problems

This page was built for publication: How to Incorporate the Spring-Mass Conditions in Finite-Difference Schemes