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

Massimo Cefalo; Maria Rosaria Lancia; Haodong Liang

doi:10.57262/die/1372858560

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

Massimo Cefalo
, Maria Rosaria Lancia
, Haodong Liang

University of Rome La Sapienza
Worcester Polytechnic Institute

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1027-1054
Number of pages	28
Journal	Differential and Integral Equations
Volume	26
Issue number	9-10
Early online date	3 Jul 2013
DOIs	https://doi.org/10.57262/die/1372858560
Publication status	Published - 2013
Externally published	Yes

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

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.",

author = "Massimo Cefalo and Lancia, \{Maria Rosaria\} and Haodong Liang",

year = "2013",

doi = "10.57262/die/1372858560",

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journal = "Differential and Integral Equations",

issn = "0893-4983",

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T2 - regularity results of the solutions and numerical approximation

AU - Cefalo, Massimo

AU - Lancia, Maria Rosaria

AU - Liang, Haodong

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

U2 - 10.57262/die/1372858560

DO - 10.57262/die/1372858560

M3 - Article

AN - SCOPUS:84886558771

SN - 0893-4983

VL - 26

SP - 1027

EP - 1054

JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 9-10

ER -

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

Abstract

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