A thick‐point approximation of a small body embedded in an elastic medium: justification with an asymptotic analysis
From MaRDI portal
Publication:6149710
DOI10.1002/zamm.202000170OpenAlexW3164322233MaRDI QIDQ6149710
Adrien Petrov, Arnaud Heibig, Unnamed Author, Yves Renard
Publication date: 5 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.202000170
General topics in optics and electromagnetic theory (78Axx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic solutions for the problems of an inclusion of arbitrary shape embedded in a half-plane.
- Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
- Multi-scale asymptotic expansion for a small inclusion in elastic media
- Reconstruction of small inhomogeneities from boundary measurements
- Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
- Problèmes de perturbations lies aux phénomènes de conduction à travers des couches minces de grande resistivite
- Small volume asymptotics for anisotropic elastic inclusions
- A circular inclusion in a finite domain. I: The Dirichlet-Eshelby problem
- Justification of the Cavity Model in the Numerical Simulation of Patch Antennas by the Method of Matched Asymptotic Expansions
- Direct Elastic Imaging of a Small Inclusion
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- The elastic field outside an ellipsoidal inclusion
- A multiscale correction method for local singular perturbations of the boundary
- METHOD OF ASYMPTOTIC PARTIAL DECOMPOSITION OF DOMAIN
- Mathematical Analysis of a Bonded Joint with a Soft Thin Adhesive
- Method of asymptotic partial decomposition of domain for multistructures
- Asymptotically precise norm estimates of scattering from a small circular inhomogeneity
- The Effect of a Thin Coating on the Scattering of a Time-Harmonic Wave for the Helmholtz Equation
- Shape optimization by the homogenization method
This page was built for publication: A thick‐point approximation of a small body embedded in an elastic medium: justification with an asymptotic analysis