## 最近课程

1. 徐树方，高立，张平文，数值线性代数（第二版），北京大学出版社，2013.

2. Gene H. Golub and Charles F. Van Loan, Matrix Computations.

3. Lloyd N. Trefethen and David Bau, Numerical Linear Algebra.

## 以往课程

1. 徐树方，高立，张平文，数值线性代数（第二版），北京大学出版社，2013.

2. Gene H. Golub and Charles F. Van Loan, Matrix Computations.

3. Lloyd N. Trefethen and David Bau, Numerical Linear Algebra.

1. 徐树方，高立，张平文，数值线性代数（第二版），北京大学出版社，2013.

2. Gene H. Golub and Charles F. Van Loan, Matrix Computations.

3. Lloyd N. Trefethen and David Bau, Numerical Linear Algebra.

1. 李乃成，梅立泉，数值分析，科学出版社

2. A. Quarteroni, R. Sacco, F. Saleri, Numerical Mathematics, Springer Science Business Media, Inc. 2000.

3. 邓建中，刘之行，计算方法，西安交通大学出版社

1. Roger A. Horn and Charles R. Johnson, Matrix Analysis, Posts & Telecom Press, second edition.

2. Gene H. Golub and Charles F. Van Loan, Matrix Computations.

3. Lloyd N. Trefethen and David Bau, Numerical Linear Algebra.

4. 潘建瑜，矩阵计算讲义

1. 李大潜，秦铁虎，物理学与偏微分方程，第二版（上下册），高等教育出版社，2005。

2. 谷超豪，李大潜，陈恕行，数学物理方程（第二版）高等教育出版社，2002。

3. 齐民友，吴方同，广义函数与数学物理方程（第2版）高等教育出版社，1999。

4. Lawrence C. Evans，Partial Differential Equations , Graduate Studies in Mathematics Volume 19, American Mathematical Society, 1998.

Course Name: Recent Advances in Non-Standard Finite Element Methods and their Applications

Introduction: The course mainly introduces recent advances in non-standard finite element methods and their applications on solid mechanics and fluid dynamics. After completing this course, students will understand how to design and construct the non-standard finite element to the problems in their own research, know the most recent results in this field and the trends in the future. The main content of this course includes: nonconforming finite element methods and applications on solid mechanics; mixed finite element methods, and applications on solid mechanics and fluid dynamics; discontinuous Galerkin (DG) methods; extended finite element method and applications on interface problem; hybrid DG methods and weak Galerkin methods, and their relationship; adaptive finite element methods; applications of FEMs on solving the inequality problems arising from nonlinear solid mechanics and fluid dynamics.

1. Roger A. Horn and Charles R. Johnson, Matrix Analysis, Posts & Telecom Press, second edition.

2. Gene H. Golub and Charles F. Van Loan, Matrix Computations.

3. Lloyd N. Trefethen and David Bau, Numerical Linear Algebra.

1. COMPLEX ANALYSIS，Princeton Lectures in Analysis，Elias M. Stein and Rami Shakarchi，PRINCETON UNIVERSITY PRESS

2. Visual Complex Analysis, Tristan Needham, CLARENDON PRESS, OXFORD