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Titlebook: Galerkin Finite Element Methods for Parabolic Problems; Vidar Thomée Book 2006Latest edition Springer-Verlag GmbH Germany 2006 Approximati

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书目名称Galerkin Finite Element Methods for Parabolic Problems
编辑Vidar Thomée
视频video
丛书名称Springer Series in Computational Mathematics
图书封面Titlebook: Galerkin Finite Element Methods for Parabolic Problems;  Vidar Thomée Book 2006Latest edition Springer-Verlag GmbH Germany 2006 Approximati
描述My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin ?nite element methods as appliedtoparabolicpartialdi?erentialequations. Theemphasesandselection of topics re?ects my own involvement in the ?eld over the past 25 years, and my ambition has been to stress ideas and methods of analysis rather than to describe the most general and farreaching results possible. Since the formulation and analysis of Galerkin ?nite element methods for parabolic problems are generally based on ideas and results from the corresponding theory for stationary elliptic problems, such material is often included in the presentation. The basis of this work is my earlier text entitled Galerkin Finite Element Methods for Parabolic Problems, Springer Lecture Notes in Mathematics, No. 1054, from 1984. This has been out of print for several years, and I have felt a need and been encouraged by colleagues and friends to publish an updated version. In doingso I have included most of the contents of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete it
出版日期Book 2006Latest edition
关键词Approximation; Galerkin methods; differential equations; finite element method; finite element theory; ma
版次2
doihttps://doi.org/10.1007/3-540-33122-0
isbn_softcover978-3-642-06967-3
isbn_ebook978-3-540-33122-3Series ISSN 0179-3632 Series E-ISSN 2198-3712
issn_series 0179-3632
copyrightSpringer-Verlag GmbH Germany 2006
The information of publication is updating

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0179-3632 of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete it978-3-642-06967-3978-3-540-33122-3Series ISSN 0179-3632 Series E-ISSN 2198-3712
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Incomplete Iterative Solution of the Algebraic Systems at the Time Levels, guarantee that no loss occurs in the order of accuracy compared to the basic procedure in which the systems are solved exactly. For a successful iterative strategy it is also important to make a proper choice of the starting approximation at each time step.
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Book 2006Latest editionve felt a need and been encouraged by colleagues and friends to publish an updated version. In doingso I have included most of the contents of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete it
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https://doi.org/10.1007/978-3-031-10572-2mplies that optimal order convergence takes place for positive time even for nonsmooth initial data. We also show some other results which elucidate the relation between the convergence of the finite element solution and the regularity of the exact solution.
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