An Inverse Parameter Problem with Generalized Impedance Boundary Condition for Two-Dimensional Linear Viscoelasticity

DOI10.1137/20M1383422zbMath1473.35172OpenAlexW3189777845MaRDI QIDQ5007137

Frédérique Le Louër, Olha Ivanyshyn Yaman

Publication date: 26 August 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1383422

zbMATH Keywords

linear elasticityinverse boundary value problemsgeneralized impedance boundary conditionsboundary integral equation methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Inverse problems for PDEs (35R30) Integral operators (47G10)

Cites Work

• Unnamed Item
• Unnamed Item
• Shape derivatives of boundary integral operators in electromagnetic scattering. I: Shape differentiability of pseudo-homogeneous boundary integral operators
• A high order spectral algorithm for elastic obstacle scattering in three dimensions
• Identification of generalized impedance boundary conditions in inverse scattering problems
• Linear integral equations.
• Spectral problems for the Lamé system with spectral parameter in boundary conditions on smooth or nonsmooth boundary.
• An accurate boundary element method for the exterior elastic scattering problem in two dimensions
• Reconstruction of generalized impedance functions for 3D acoustic scattering
• Thin layer approximations in mechanical structures: the Dirichlet boundary condition case
• Dirichlet-to-Neumann map for three-dimensional elastic waves
• Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type -- application to compliance minimization
• Application of the multi-level time-harmonic fast multipole BEM to 3-D visco-elastodynamics
• Nondestructive Testing of the Delaminated Interface between Two Materials
• On Simultaneous Identification of the Shape and Generalized Impedance Boundary Condition in Obstacle Scattering
• Equivalent Boundary Conditions for an Elasto-Acoustic Problem set in a Domain with a Thin Layer
• Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging
• Stable reconstruction of generalized impedance boundary conditions
• 8. Some old and some new results in inverse obstacle scattering
• Integral Methods in Science and Engineering
• On the far-field operator in elastic obstacle scattering
• Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
• On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack
• Nondestructive testing of delaminated interfaces between two materials using electromagnetic interrogation
• Integral Equation Methods in Inverse Obstacle Scattering with a Generalized Impedance Boundary Condition
• Inverse elastic scattering from a crack
• A Spectral Galerkin Method for a Boundary Integral Equation
• On the Fréchet Derivative in Elastic Obstacle Scattering
• Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition
• VISCOELASTIC MODULUS RECONSTRUCTION USING TIME HARMONIC VIBRATIONS
• Well‐conditioned boundary integral formulations for high‐frequency elastic scattering problems in three dimensions
• Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem
• Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions
• The Effect of a Thin Coating on the Scattering of a Time-Harmonic Wave for the Helmholtz Equation
• Inverse acoustic and electromagnetic scattering theory

This page was built for publication: An Inverse Parameter Problem with Generalized Impedance Boundary Condition for Two-Dimensional Linear Viscoelasticity