A UNIQUENESS THEOREM FOR THE REDUCED WAVE EQUATION GOVERNING THE ACOUSTIC WAVE IN A HETEROGENEOUS MEDIUM

DOI10.1093/QJMAM/41.1.141zbMath0647.73002OpenAlexW1995853310MaRDI QIDQ3792329

David J. N. Wall

Publication date: 1988

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/41.1.141

zbMATH Keywords

scatteringfinite element methodsharmonic small amplitude longitudinal (acoustic) wavesnested regionsspatially varying material parameterstree like structure

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Waves in solid mechanics (74J99) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Numerical methods for partial differential equations, boundary value problems (65N99)

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