A generalized Helmholtz equation fundamental solution using a conformal mapping and dependent variable transformation

DOI10.1016/S0955-7997(99)00050-8zbMath0973.74092OpenAlexW2064021739MaRDI QIDQ1568447

Richard P. Shaw, George D. Manolis

Publication date: 21 June 2000

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(99)00050-8

zbMATH Keywords

fundamental solutionsconformal mappingheterogeneous mediageneralized Helmholtz equationdependent variable transformsvariable wave speed media

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Inhomogeneity in solid mechanics (74E05) Conformal mappings of special domains (30C20)

Related Items (5)

Three-dimensional fundamental solution of wave propagation and transient heat transfer in non-homogeneous media ⋮ Analytical solution to the SH wave scattering problem caused by a circular cavity in a half space with inhomogeneous modulus ⋮ Frequencies evaluation in three-dimensional piecewise homogeneous Helmholtz problems ⋮ Application of boundary element method superposition technique for solving natural frequencies in piecewise homogeneous domains ⋮ Exact boundary derivative formulation for numerical conformal mapping method

Cites Work

• Numerical convective schemes based on accurate computation of space derivatives
• ELASTIC WAVE PROPAGATION IN A NON-HOMOGENEOUS ROD
• Field due to a Point Source in an Inhomogeneous Elastic Medium
• Transmission of Elastic Waves through a Stratified Solid Medium
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