Finite element Runge-Kutta discretizations of porous medium type equations

Eskil Hansen, Alexander Ostermann

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

Sammanfattning

In this paper we analyze the convergence properties of full
discretizations of a class of generalized porous medium equations. For the spatial and time discretizations, we use continuous piecewise linear finite elements and algebraically stable Runge-Kutta methods, respectively. We prove our convergence result without any assumption on the spatial regularity. It is shown that, under a certain stability assumption, the temporal order of convergence is given by the stage order of the method, whereas the spatial order is essentially one. Numerical experiments illustrate
our stability assumption and the convergence result.
Originalspråkengelska
Sidor (från-till)1769-1779
TidskriftSIAM Journal on Numerical Analysis
Volym46
Nummer4
DOI
StatusPublished - 2008

Ämnesklassifikation (UKÄ)

  • Elektroteknik och elektronik

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