A weak form of the conjugate gradient FFT method for two-dimensional elastodynamics

DOI10.1006/jcph.2000.6476zbMath0960.74077OpenAlexW2056797705MaRDI QIDQ1568629

George Pelekanos, Peter M. van den Berg, Ralph E. Kleinman

Publication date: 4 September 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2000.6476

zbMATH Keywords

Green's functionvector potentialelastic waveselastic inclusiontwo-dimensional scatteringdomain integral equationrooftop functionsspatial convolution

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items

A CG-FFT approach to the solution of a stress-velocity formulation of three-dimensional elastic scattering problems, The (F*F)^1/4-method for the transmission problem in two-dimensional linear elasticity, Shape reconstruction of a 2D-elastic penetrable object via the L-curve method, Inverse scattering by penetrable objects in two-dimensional elastodynamics

Cites Work

• Inverse scattering in elasticity -- a modified gradient approach
• The k-space formulation of the scattering problem in the time domain
• On the Two-Dimensional Exterior Boundary-Value Problems of Elasticity
• A uniqueness theorem in inverse scattering of elastic waves
• Diffraction of Steady Elastic Waves by Surfaces of Arbitrary Shape
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item