The weak boundary effect in a field as a source approaches the boundary.
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Krauklis, P.V., Krauklis, A.P. (2004)
Journal of Mathematical Sciences (New York)
Roychoudhuri, S.K., Bandyopadhyay, Nupur (2005)
International Journal of Mathematics and Mathematical Sciences
Guillaume Bal, Lenya Ryzhik (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time splitting algorithm that solves separately and successively propagation and scattering in the simplified...
Guillaume Bal, Lenya Ryzhik (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time splitting algorithm that solves separately and successively propagation and scattering in the...
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