A HAMILTONIAN-PRESERVING SCHEME FOR HIGH FREQUENCY ELASTIC WAVES IN HETEROGENEOUS MEDIA

DOI10.1142/S0219891606000999zbMath1113.35010MaRDI QIDQ3426970

Xiaomei Liao, Shih Jin

Publication date: 14 March 2007

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

heterogeneous mediaLiouville equationmaterial interfacesElastic waveshigh-frequency preservation

Mathematics Subject Classification ID

Related Items (9)

Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential ⋮ Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials ⋮ Dynamic programming and Lagrange multipliers for active relaxation of resources in nonlinear non-equilibrium systems ⋮ Boundary Effects in Radiative Transfer of Acoustic Waves in a Randomly Fluctuating Half-space ⋮ A high order numerical method for computing physical observables in the semiclassical limit of the one-dimensional linear Schrödinger equation with discontinuous potentials ⋮ Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation ⋮ A semiclassical transport model for two-dimensional thin quantum barriers ⋮ Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction ⋮ Mathematical and computational methods for semiclassical Schrödinger equations

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• Finite Volume Methods for Hyperbolic Problems
• A Hamiltonian‐Preserving Scheme for the Liouville Equation of Geometrical Optics with Partial Transmissions and Reflections
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