Error analysis of thermal equation with moving ends

Authors:
M. A. Rincon;M. O. Lacerda
Affiliations:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, Rio de Janeiro 21945-970, Brazil;Universidade Federal da Paraíba, Campus I, Cidade Universitária, CEP 58.051-900, Jo ao Pessoa, PB, Brazil
Venue:
Mathematics and Computers in Simulation
Year:
2010

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Abstract

A mathematical model of the linear thermodynamic equations with moving ends, based on the Stefan Problem is considered. In this work, we are interested in obtaining existence, uniqueness and regularity using the Galerkin method and mainly to establish an error estimates of solutions in Sobolev spaces for the semi-discrete problem, with discretization of space variable, continuous time and for the completely discrete problem with discretization of space variable and time.