Numerical approximation of transmission problems across Koch-type highly conductive layers

DOI10.1016/j.amc.2011.11.033zbMath1457.65122OpenAlexW2012578098MaRDI QIDQ426589

Massimo Cefalo, Guido Dell'Acqua, Maria Rosaria Lancia

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.033

zbMATH Keywords

finite elementserror boundsfractalstransmission problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractals (28A80) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (13)

Asymptotic analysis of an elastic material reinforced with thin fractal strips ⋮ Regularity results for nonlocal evolution Venttsel' problems ⋮ The Stokes problem in fractal domains: asymptotic behaviour of the solutions ⋮ Regularity results for \(p\)-Laplacians in pre-fractal domains ⋮ Computing eigenvalues of the Laplacian on rough domains ⋮ Semilinear evolution problems with Ventcel-type conditions on fractal boundaries ⋮ On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains ⋮ Convergence and density results for parabolic quasi-linear Venttsel' problems in fractal domains ⋮ Quasi-linear Venttsel' problems with nonlocal boundary conditions on fractal domains ⋮ An optimal mesh generation algorithm for domains with Koch type boundaries ⋮ Boundary element methods for acoustic scattering by fractal screens ⋮ Asymptotics for Venttsel' problems for operators in non divergence form in irregular domains ⋮ Venttsel' problems in fractal domains

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