Geodesic
Fully discrete error estimation by the method of lines for a nonlinear parabolic problem
Applications of Mathematics, Tome 48 (2003) no. 2, pp. 129-151.

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A posteriori error estimates for a nonlinear parabolic problem are introduced. A fully discrete scheme is studied. The space discretization is based on a concept of hierarchical finite element basis functions. The time discretization is done using singly implicit Runge-Kutta method (SIRK). The convergence of the effectivity index is proven.
DOI : 10.1023/A:1026094127440
Classification : 65L06, 65M15, 65M20, 65M60
Keywords: a posteriori error estimates; finite elements; nonlinear parabolic problems; effectivity index; singly implicit Runge-Kutta methods (SIRK) 
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     title = {Fully discrete error estimation by the method of lines for a nonlinear parabolic problem},
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     pages = {129--151},
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Vejchodský, Tomáš. Fully discrete error estimation by the method of lines for a nonlinear parabolic problem. Applications of Mathematics, Tome 48 (2003) no. 2, pp. 129-151. doi : 10.1023/A:1026094127440. http://geodesic.mathdoc.fr/articles/10.1023/A:1026094127440/

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