Titlebook: Galerkin Finite Element Methods for Parabolic Problems; Vidar Thomée Book 19971st edition Springer-Verlag Berlin Heidelberg 1997 Approxima

Enzyme

Methods Based on More General Approximations of the Elliptic Problem,.. = .. (Ω), such that, for some r ≥ 2, the approximation property (1.7) holds. The most natural example of such a family in a plane domain Ω is to take for .. the continuous functions which reduce to polynomials of degree at most r - 1 on the triangles τ of a triangulation T. of Ω of the type descr

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Nonsmooth Data Error Estimates, is regular for positive time even if the initial data are not. We shall then demonstrate that an analogous behavior for the finite element solution implies that optimal order convergence takes place for positive time even for nonsmooth initial data. We also show some other results which elucidate t