APPROXIMATE TRANSMISSION CONDITIONS FOR A POISSON PROBLEM AT MID-DIFFUSION

DOI10.3846/13926292.2015.1000988zbMath1488.35165OpenAlexW2002207376MaRDI QIDQ5011220

Khaled El-Ghaouti Boutarene

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2015.1000988

zbMATH Keywords

asymptotic expansionasymptotic analysisthin layerPoisson equationapproximate transmission conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Asymptotic analysis in optics and electromagnetic theory (78M35) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (3)

Ventcel-type transmission conditions for a Poisson problem at high-low diffusion ⋮ Scattering of a scalar time-harmonic wave by a penetrable obstacle with a thin layer ⋮ Ventcel-type transmission conditions for the scattering of a time-harmonic wave problem with accuracy up to order 3

Cites Work

• Approximate models for wave propagation across thin periodic interfaces
• Asymptotic analysis for a diffusion problem
• Asymptotic modelling of conductive thin sheets
• A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
• Functional analysis, Sobolev spaces and partial differential equations
• Reinforcement problems in the calculus of variations
• On the torsional rigidity problem with nonhomogeneous reinforcement
• On the interface boundary conditions between two interacting incompressible viscous fluid flows
• High order transmission conditions for thin conductive sheets in magneto-quasistatics
• The polarization in a ferroelectric thin film: local and nonlocal limit problems
• On Generalized Ventcel's Type Boundary Conditions for Laplace Operator in a Bounded Domain
• Asymptotic analysis of the eigenvalues of an elliptic problem in an anisotropic thin multidomain
• Boundary layer correctors and generalized polarization tensor for periodic rough thin layers. A review for the conductivity problem
• Approximate transmission conditions through a weakly oscillating thin layer
• About the transmembrane voltage potential of a biological cell in time-harmonic regime.
• The Effect of a Thin Coating on the Scattering of a Time-Harmonic Wave for the Helmholtz Equation
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: APPROXIMATE TRANSMISSION CONDITIONS FOR A POISSON PROBLEM AT MID-DIFFUSION