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內容簡介

　　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.

內頁插圖

目錄

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

前言/序言

拋物問題的伽遼金有限元方法（第2版）（英文版） [Galerkin Finite Element Methods for Parabolic Problems(Second Edition)] 下載 mobi epub pdf txt 電子書

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