Error Estimates Under Minimal Regularity for Single Step Finite Element Approximations of Parabolic Partial Differential Equations
Year: 2006
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 4 : pp. 504–524
Abstract
This paper studies error estimations for a fully discrete, single step finite element scheme for linear parabolic partial differential equations. Convergence in the norm of the solution space is shown and various error estimates in this norm are derived. In contrast to like results in the extant literature, the error estimates are derived in a stronger norm and under minimal regularity assumptions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-IJNAM-915
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 4 : pp. 504–524
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: fully discrete approximation parabolic equations error estimate finite element methods backward Euler method.