Numerical treatment of two-dimensional interfaces for acoustic and elastic waves.
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Publication:1428654
DOI10.1016/j.jcp.2003.09.024zbMath1087.76079OpenAlexW2093164402MaRDI QIDQ1428654
Publication date: 29 March 2004
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2003.09.024
Discontinuous coefficientsSingular value decompositionHyperbolic systemsJump conditionsAcoustics and elastodynamicsInterface methodsWave propagation algorithm
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods applied to problems in solid mechanics (74S20) Hydro- and aero-acoustics (76Q05)
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Cites Work
- Unnamed Item
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- Wave propagation algorithms for multidimensional hyperbolic systems
- Numerical analysis of blood flow in the heart
- The immersed interface method for acoustic wave equations with discontinuous coefficients
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- Fictitious domain method for unsteady problems: application to electromagnetic scattering
- Numerical approximation of hyperbolic systems of conservation laws
- A study of numerical methods for hyperbolic conservation laws with stiff source terms
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
- The Immersed Interface Method for Nonlinear Differential Equations with Discontinuous Coefficients and Singular Sources
- How to Incorporate the Spring-Mass Conditions in Finite-Difference Schemes
- An Immersed Interface Method for Incompressible Navier--Stokes Equations
- The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
- A new interface method for hyperbolic problems with discontinuous coefficients: One-dimensional acoustic example
- The immersed interface method for the Navier-Stokes equations with singular forces