抛物问题的伽辽金有限元方法 第2版 英文影印版
作者：（瑞典）托姆 著
出版时间：2013年版
内容简介
《抛物问题的伽辽金有限元方法（第2版）》由（瑞典）托姆著，主要内容：Thebasis of this work is my earlier text entitled Galerkin FiniteElement Methods for Parabolic Problems， Springer Lecture Notes inMathematics， No. 1054， from 1984. This has been out of print forseveral years， and I have felt a need and been encouraged bycolleagues and friends to publish an updated version. In doing so Ihave included most of the contents of the 14 chapters of theearlier work in an updated and revised form， and added four newchapters， on semigroup methods， on multistep schemes， on incompleteiterative solution of the linear algebraic systems at the timelevels， and on semilineax equations. The old chapters on fullydiscrete methods have been reworked by first treating the timediscretization of an abstract differential equation in a Hilbertspace setting， and the chapter on the discontinuous Galerkin methodhas been completely rewritten.
目录
Preface
Preface to the Second Edition
1. The Standard Galerkin Method
2. Methods Based on More General Approximations of the Elliptic Problem
3. Nonsmooth Data Error Estimates
4. More General Parabolic Equations
5. Negative Norm Estimates and Superconvergence
6. Maximum-Norm Estimates and Analytic Semigroups
7. Single Step Fully Discrete Schemes for the Homogeneous Equation
8. Single Step Fully Discrete Schemes for the Inhomogeneous Equation
9. Single Step Methods and Rational Approximations of Semigroups
10. Multistep Backward Difference Methods
11. Incomplete Iterative Solution of the Algebraic Systemsat the Time Levels
12. The Discontinuous Galerkin Time Stepping Method
13. A Nonlinear Problem
14. Semilinear Parabolic Equations
15. The Method of Lumped Masses
16. The Hl and H-1 Methods
17. A Mixed Method
18. A Singular Problem ,
19. Problems in Polygonal Domains
20. Time Discretization by Laplace Transformation and Quadrature
References
Index
