Introduction to Numerical Methods for Variational Problems

Preface.- Quick overview of the finite element method.- Function approximation by global functions.- Function approximation by finite elements.- Variational formulations with global elements.- Variational formulations with finite elements.- Time-dependent variational forms.- Variational forms for systems of PDEs.- Nonlinear Problems.- Variational forms for linear systems.- Useful formulas.

前言-有限元素法的快速概述-全局函數的函數逼近-有限元素的函數逼近-具有全局元素的變分形式-具有有限元素的變分形式-時變的變分形式-偏微分方程系統的變分形式-非線性問題-線性系統的變分形式-有用的公式。

Hans Petter Langtangen (1962 - 2016) was a professor of computer science at the University of Oslo. He was formerly a professor of mechanics and was the Director of "Center for Biomedical Computing", a Norwegian Center of Excellence at the Simula Research Laboratory in Oslo. Langtangen has more than 100 scientific publications, including journal papers and many books, e.g., the bestseller TCSE 6 "A Primer on Scientific Programming with Python" (editions 1 - 5). He has also developed open source and commercial software systems for computational sciences."
Kent-Andre Mardal is a professor of mechanics at the University of Oslo and an adjunct research scientist at Simula Research Laboratory. He has published more than 80 scientific publications, including journal papers, one co-authored book and the co-edited the book about the FEniCS project, for which he was a core developer for many years.

Hans Petter Langtangen（1962年-2016年）是奧斯陸大學的計算機科學教授。他曾是力學教授，並擔任奧斯陸Simula研究實驗室的挪威卓越中心「生物醫學計算中心」的主任。Langtangen發表了100多篇科學論文，包括期刊論文和多本書籍，例如暢銷書《TCSE 6：Python科學編程入門》（第1至5版）。他還開發了用於計算科學的開源和商業軟件系統。

Kent-Andre Mardal是奧斯陸大學的力學教授，也是Simula研究實驗室的兼職研究科學家。他發表了80多篇科學論文，包括期刊論文、一本合著書籍，並共同編輯了關於FEniCS項目的書籍，他在該項目中擔任核心開發人員多年。