Differential and Integral Equations

Heat-flow problems across fractal mixtures: regularity results of the solutions and numerical approximation

Massimo Cefalo, Maria Rosaria Lancia, and Haodong Liang

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Abstract

A parabolic transmission problem with Ventcel'-type boundary conditions on a prefractal mixture Koch-type interface is studied. Regularity results for the solution are proved. The numerical approximation of the problem is considered, and optimal a priori error estimates of the order of convergence are obtained.

Article information

Source
Differential Integral Equations, Volume 26, Number 9/10 (2013), 1027-1054.

Dates
First available in Project Euclid: 3 July 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1372858560

Mathematical Reviews number (MathSciNet)
MR3100075

Zentralblatt MATH identifier
1299.65228

Subjects
Primary: 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods 65M15: Error bounds 28A80: Fractals [See also 37Fxx] 35K20: Initial-boundary value problems for second-order parabolic equations

Citation

Cefalo, Massimo; Lancia, Maria Rosaria; Liang, Haodong. Heat-flow problems across fractal mixtures: regularity results of the solutions and numerical approximation. Differential Integral Equations 26 (2013), no. 9/10, 1027--1054. https://projecteuclid.org/euclid.die/1372858560


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