Dirichlet-to-Neumann semigroup acts as a magnifying glass

DOI10.1007/s00233-014-9572-5zbMath1297.65152OpenAlexW2038984957MaRDI QIDQ741665

Hassan Emamirad, Toufic El Arwadi, Jean-Marc Sac-Épée, Mohamed Amine Cherif

Publication date: 12 September 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-014-9572-5

zbMATH Keywords

convergencefinite element methodnumerical examplesDirichlet-to-Neumann operatorEuler schemes\(\gamma\)-harmonic liftingDirichlet-to-Neumann semigroupLapalce equationLax semigroup

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

On an integro-differential fractional nonlinear Volterra-Caputo equation ⋮ Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential ⋮ The global solution and blowup of a spatiotemporal EIT problem with a dynamical boundary condition ⋮ Heat flow for Dirichlet-to-Neumann operator with critical growth ⋮ A Crank-Nicolson scheme for the Dirichlet-to-Neumann semigroup

Uses Software

• FreeFem++

Cites Work

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• The Dirichlet-to-Neumann operator on rough domains
• The Laplacian on \(C(\overline\Omega)\) with generalized Wentzell boundary conditions
• Partial differential equations. 2: Qualitative studies of linear equations
• On explicit representation and approximations of Dirichlet-to-Neumann semigroup
• An approximating family for the Dirichlet-to-Neumann semigroup
• Note on product formulas for operator semigroups
• Towards a d-bar reconstruction method for three-dimensional EIT

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