Convergence analysis of finite element approximations of the Joule heating problem in three spatial dimensions
2010 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 50, no 4, 781-795 p.Article in journal (Refereed) Published
In this paper we present a finite element discretization of the Joule-heating problem. We prove existence of solution to the discrete formulation and strong convergence of the finite element solution to the weak solution, up to a sub-sequence. We also present numerical examples in three spatial dimensions. The first example demonstrates the convergence of the method in the second example we consider an engineering application.
Place, publisher, year, edition, pages
Springer , 2010. Vol. 50, no 4, 781-795 p.
Finite element methods, Joule heating problem, Convergence analysis
IdentifiersURN: urn:nbn:se:umu:diva-42700DOI: 10.1007/s10543-010-0287-zISI: 000284594700006OAI: oai:DiVA.org:umu-42700DiVA: diva2:410016