Discrete inverse method for viscoelastic medium with complete data
DOI10.1016/S0045-7825(99)00464-8zbMath0979.74042MaRDI QIDQ1581961
Publication date: 26 February 2002
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
finite difference methodVolterra integral equationviscoelastic mediumrelaxation modulusinvariant imbedding techniquesdiscrete inverse scattering problemextension of reflection dataimbedding equationsmaterial moduluspropagation operators
Wave scattering in solid mechanics (74J20) Linear constitutive equations for materials with memory (74D05) Finite difference methods applied to problems in solid mechanics (74S20) Inverse problems for waves in solid mechanics (74J25)
Cites Work
- Obtaining scattering kernels using invariant imbedding
- Inverse scattering for inhomogeneous viscoelastic media
- Direct and inverse scattering in the time domain via invariant imbedding equations
- An electromagnetic inverse problem for dispersive media
- Direct and inverse scattering in the time domain for a dissipative wave equation. I. Scattering operators
- Direct and inverse scattering in the time domain for a dissipative wave equation. II. Simultaneous reconstruction of dissipation and phase velocity profiles
- Direct and inverse scattering from dispersive media
- Direct and inverse scattering in the time domain for a dissipative wave equation. III. Scattering operators in the presence of a phase velocity mismatch
- On the well-posedness of the inverse electromagnetic scattering problem for a dispersive medium
- Linear integral equations
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