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

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发表于 2025-3-21 19:47:47 | 显示全部楼层 |阅读模式
书目名称Galerkin Finite Element Methods for Parabolic Problems
编辑Vidar Thomée
视频video
概述This book is the most comprehensive and reliable book on the topic and will become the standard reference.
丛书名称Springer Series in Computational Mathematics
图书封面Titlebook: Galerkin Finite Element Methods for Parabolic Problems;  Vidar Thomée Book 19971st edition Springer-Verlag Berlin Heidelberg 1997 Approxima
描述My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin finite element methods as applied to parabolic partial differential equations. The emphases and selection of topics reflects my own involvement in the field 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 finite 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 doing so 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
出版日期Book 19971st edition
关键词Approximation; Differential Equations; Finite Element Theory; Galerkin Methods; Parabolic Partial; algebr
版次1
doihttps://doi.org/10.1007/978-3-662-03359-3
isbn_ebook978-3-662-03359-3Series ISSN 0179-3632 Series E-ISSN 2198-3712
issn_series 0179-3632
copyrightSpringer-Verlag Berlin Heidelberg 1997
The information of publication is updating

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发表于 2025-3-21 20:52:51 | 显示全部楼层
Afghanistan Under Soviet Domination, 1964-83d masses. In this method the mass matrix is replaced by a diagonal matrix whose elements are the row sums of the original mass matrix. This can also be interpreted as using a quadrature rule for the corresponding .. inner product.
发表于 2025-3-22 03:45:03 | 显示全部楼层
Afghanistan and the Vietnam Syndromermulate the discrete problem. For simplicity we shall content ourselves with describing the situation in the case of a simple selfadjoint parabolic equation in one space dimension, and only study spatially semidiscrete methods.
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The New Democracy and its Limitationsis formulation the gradient of the solution is introduced as a separate dependent variable the approximation of which is sought in a different finite element space than the solution itself. One advantage of this procedure is that the gradient of the solution may be approximated to the same order of accuracy as the solution itself.
发表于 2025-3-22 11:56:07 | 显示全部楼层
More General Parabolic Equations,c equations, in which we allow the elliptic operator to have coeffiicients depending on both . and ., to contain lower order terms, and to be nonselfadjoint and nonpositive. In order not to have to account for possible exponential growth of stability constants and error bounds we restrict our considerations to a finite interval in time.
发表于 2025-3-22 14:44:38 | 显示全部楼层
The Method of Lumped Masses,d masses. In this method the mass matrix is replaced by a diagonal matrix whose elements are the row sums of the original mass matrix. This can also be interpreted as using a quadrature rule for the corresponding .. inner product.
发表于 2025-3-22 18:51:51 | 显示全部楼层
The ,, and ,, Methods,rmulate the discrete problem. For simplicity we shall content ourselves with describing the situation in the case of a simple selfadjoint parabolic equation in one space dimension, and only study spatially semidiscrete methods.
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发表于 2025-3-23 03:16:12 | 显示全部楼层
Finanzmarkthandel und Soziologie,In this introductory chapter we shall study the standard Galerkin finite element method for the approximate solution of the model initial-boundary value problem for the heat equation, . where is a domain in .. with smooth boundary ∂Ω, and where ., .. denotes ., and . the Laplacian.
发表于 2025-3-23 06:54:58 | 显示全部楼层
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