Asymptotic Approximation of the Dirichlet to Neumann Map of High Contrast Conductive Media
From MaRDI portal
Publication:5251783
DOI10.1137/140960761zbMath1312.74025arXiv1307.4002OpenAlexW2043726380MaRDI QIDQ5251783
Yingpei Wang, Yuliya Gorb, Liliana Borcea
Publication date: 21 May 2015
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.4002
Homogenization in equilibrium problems of solid mechanics (74Q05) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (3)
Nonoverlapping domain decomposition method with preconditioner from asymptotic analysis of steady flow in high contrast media ⋮ Angles between subspaces and nearly optimal approximation in GFEM ⋮ Heterogeneous domain decomposition method for high contrast dense composites
Cites Work
- Unnamed Item
- Unnamed Item
- Gradient estimates for the perfect conductivity problem
- Fictitious fluid approach and anomalous blow-up of the dissipation rate in a two-dimensional model of concentrated suspensions
- A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites
- Circular planar graphs and resistor networks
- Gradient estimates for solutions to the conductivity problem
- Geometric measure theory.
- Singular Behavior of Electric Field of High-Contrast Concentrated Composites
- Geometric aspects of averaging
- Electrical impedance tomography and Calderón's problem
- Effective conductivity of periodic composites composed of two very unequal conductors
- Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting Cylinders
- Network Approximation for Transport Properties of High Contrast Materials
- Asymptotics of the effective conductivity of composites with closely spaced inclusions of optimal shape
- Finding the conductors in circular networks from boundary measurements
- Matching pursuit for imaging high-contrast conductivity
- Error of the Network Approximation for Densely Packed Composites with Irregular Geometry
- Blow-up of Solutions to a $p$-Laplace Equation
- ASYMPTOTIC EXPANSIONS FOR HIGH-CONTRAST ELLIPTIC EQUATIONS
- Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions
- Network approximation in the limit of small interparticle distance of the effective properties of a high-contrast random dispersed composite
This page was built for publication: Asymptotic Approximation of the Dirichlet to Neumann Map of High Contrast Conductive Media
