Mesh generation and numerical analysis of a Galerkin method for highly conductive prefractal layers

DOI10.1016/j.apnum.2012.10.004zbMath1261.65125OpenAlexW2037659199WikidataQ58841801 ScholiaQ58841801MaRDI QIDQ1936177

Patrizia Bagnerini, Annalisa Buffa, Elisa Vacca

Publication date: 21 February 2013

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.10.004

zbMATH Keywords

algorithmGalerkin methodnumerical examplesadaptive mesh refinementfinite element methodstransmission problemsa priori error estimateMesh generationvon Koch curvehighly conductive prefractal layers

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (5)

Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation ⋮ Regularity results for \(p\)-Laplacians in pre-fractal domains ⋮ Well-Posed PDE and Integral Equation Formulations for Scattering by Fractal Screens ⋮ Galerkin schemes and inverse boundary value problems in reflexive Banach spaces ⋮ Boundary element methods for acoustic scattering by fractal screens

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