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Linearly implicit finite element methods for the time-dependent Joule heating problem

Georgios Akrivis ; Stig Larsson (Institutionen för matematiska vetenskaper, matematik)
BIT Numerical Mathematics Vol. 45 (2005), 3, p. 429-442.
[Artikel, refereegranskad vetenskaplig]

Completely discrete numerical methods for a nonlinear elliptic-parabolic system, the time-dependent Joule heating problem, are introduced and analyzed. The equations are discretized in space by a standard finite element method, and in time by combinations of rational implicit and explicit multistep schemes. The schemes are linearly implicit in the sense that they require, at each time level, the solution of linear systems of equations. Optimal order error estimates are proved under the assumption of sufficiently regular solutions.

Denna post skapades 2006-12-05. Senast ändrad 2014-09-02.
CPL Pubid: 23867


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Numerisk analys

Chalmers infrastruktur