Zhiping Li
Professor
lizp@math.pku.edu.cn
Office :1362S

Education

Ph. D

1987

ComputationalMathematics

PekingUniversity

M. S.

1984

Mathematics

PekingUniversity

B. S.

1982

Mathematics

Xi’anJiaotongUniversity

Research Interests

Numerical methods for nonlinear partial differential equations and nonlinear elasticity

1. Finite element methods and spectral methods for cavitation problems in nonlinear elasticity

2. Finite element methods for Lavrentiev phenomenon in variational problems

3. Numerical methods for microstructures and phase transition in material sciences

Selected Publications

  • Chunmei Su and Zhiping Li. “Orientation-Preservation Conditions on an Iso-parametric FEM in Cavitation Computation”. Sci. China Math., 60(2017), 719-734. doi: 10.1007/s11425-016-0019-0.
  • Chunmei Su and Zhiping Li. “Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity”, SIAM J. Numer. Anal. 53(3) (2015), pp. 1629-1649. doi: http://dx.doi.org/10.1137/140971142.
  • Yijiang Lian and Zhiping Li. “Position and size effects on voids growth in nonlinear elasticity”. Int. J. Fract., 173(2)(2012), 147-161. doi:10.1007/s10704-011-9674-y.
  • Yijiang Lian and Zhiping Li. “A Numerical Study on Cavitation in Nonlinear Elasticity --- Defects and Configurational Forces”. Math. Mod. Meth. Appl. Sci., 21(12)(2011), 2551–2574. doi:10.1142/S0218202511005830.
  • Shan Wang and Zhiping Li, “Evaluation of mechanical parameters of an elastic thin film system by modeling and numerical simulation of telephone cord buckles”. J. Comput. Appl. Math., 236 (5) (2011), 860–866. doi:10.1016/j.cam.2011.05.018.

Professional Appointments

1997-

Professor

School of Mathematical Sciences,Peking University

1993-1997

Associate Professor

Department of Mathematics, Peking University

1987-1993

Lecturer

Department of Mathematics, Peking University

1991-1993

Research Fellow

Dept. Math. & Stats., Brunel University, London, U.K.

1988-1990

Research Associate

Dept. Math.,Heriot-Watt University, Edinburgh, U.K.

Honors and Awards

2008

“P&P” Excellent Teaching & Research Award, Peking University

2001

“Zhou Peiyuan” Excellent Teaching & Research Award, Peking University

1998

“Advance in Science and Technology Award (2nd class)”, Ministry of Education, China

1998

“P&P” Excellent Teaching & Research Award, Peking University

1997

“Dazhong Computer” Excellent Teaching & Research Award, Peking University

Professional Society Affiliations

2002-2009

Chair, Executive Council of Beijing Computational Mathematics Society

2002-2006

Member,Executive Council of Chinese Computational Mathematics Society

1998-2002                 

Member,Council of Chinese Computational Mathematics Society

National and International Meeting Organizers and Session Chairs

2010/07

PKU-PSU 2010 summer school on Analytical and Numerical Partial Differential Equations

Penn state Univ. U.S.A.

Co-organizers

2008/07

PKU-PSU 2008 summer school on Analytical and Numerical Partial Differential Equations

Beijng

Co-organizers

2006/08

International Conference on Multilevel and Adaptive Method

Beijing

Chair, local organizing committee

Teaching Activities

Undergraduate course

Numerical Analysis

2013s, 2017s

Undergraduate/Graduate course

Numerical Solutions for PDE

2001.f, 2002.f,2006----2016f

Graduate course

Finite Difference (2)

2005f,2007f,2008f,2009f, 2012f,2014f,2015f,2016f

Undergraduate course (PKU-PSU summer school)

Analytical and Numerical Methods for Differential Equations

July-August/2008, 2009, 2010

Graduate course

Numerical Algebra (2)

2004f, 2006f

Undergraduate course

Numerical Algebra (1)

2005f

Undergraduate course

Optimization

2004s

Undergraduate course

Theoretical Mechanics

1997s,1998s,1998---2001f, 2003f

Undergraduate course

Computational Methods (B)

1994s,1995s,1996s, 2001s, 2003s

Undergraduate course

Finite Element Method (1)

1987f, 1996f, 1997f

Graduate course

Finite Element Method (2)

1996s

Undergraduate course

Calculus

1993f, 1994s

Undergraduate course

Graduate Thesis

2000s,2002s,2003s,2004s,2007s, 2009s,2010s,2012s,2016s,2017s

Research Projects

2016-2019

Numerical study on cavitation in incompressible nonlinear elasticity

National Science Foundation of China(11571022)

¥420,000rmb

   PI

2012-2015

Numerical study on nonlinear soft elastic materials

National Science Foundation of China(11171008)

¥400,000rmb

   PI

2011-2013

Numerical study on cavitation and fracture in nonlinear elasticity

Ministry of Education of China

(20100001110004)

¥60,000rmb

   PI

2009-2011

Numerical study on nonlinear phenomenon of solid materials andmembrane

National Science Foundation of China(10871011)

¥210,000rmb

   PI

2005-2010

China 973 project:

High performance scientific computation

Ministry of Science and Technology (2005CB321701)

¥414,000rmb

Member

2007-2009

Theory and application of adaptive finite element methods

Ministry of Education of China (20060001007)

¥50,000rmb

   PI

2006-2008

Numerical study on partial differential equations in material sciences

National Science Foundation of China(10571006)

¥170,000rmb

   PI

2006-2009

Overseas Youth Scholar Cooperation Grant: Numerical partial differential equations

National Science Foundation of China(10528102)

¥400,000rmb

Co-PI

2005-2008

Major project: Adaptive grids methods for numerical solutions of partial differential equations

National Science Foundation of China(10431050)

¥156,300rmb

Member

2004-2006

Multiscale numerical methods for materials microstructure

Ministry of Education of China (20030001103)

¥50,000rmb

   PI

1999-2004

China 973 project: Large scale

scientific computation

Ministry of Science and Technology (G1999032800)

¥420,000rmb

Group leader

1998-2000

Numerical methods for singular and microstructure solutions of nonlinear PDEs

National Science Foundation of China(19771002)

¥45,000rmb

   PI

1995-1997

Numerical methods forsingular solutions to nonlinear problems with applications in elasticity

National Science Foundation of China(19471001)

¥24,000rmb

   PI

1989-1991

Youth Foundation Projects: Numerical methods for nonlinear PDEs and nonlinear elasticity

National Science Foundation of China(0188404)

¥4,000rmb

(¥15,000rmb)

 

   PI

Invited Talks

“2015 Annual Workshop of Beijing Computational Mathematics Society”

July 30-31, 2015

Beijing,China

“The 8th International Conference on Scientific Computing and Applications” (SCA2012).

April 1-4, 2012

The University of Nevada, Las Vegas, USA.

“The international Conference of Approximation on Scientific Computing” (ICASC’ 08).

Oct.26-30, 2008

Beijing,China

“Joint OxMOS/MULTIMAT workshop”

September 3-5, 2007

Oxford University,Oxford, UK

“Work Shop on Scientific Computing”

July13-14, 2006

Tsinghua University,Beijing, China

“TheForth China-Sweden Joint Work Shop onComputational Mathematics”

June 6-9, 2004

Beijing,China

“The Second China-Korea Joint Work Shop on Recent Advances in Numerical Analysis and its Applications”

Feb. 25-28, 2003

Beijing,China

“The 1st China-USA Workshop on Multiscale Problems in Material Sciences”

June 17-20, 2002

Beijing,China

“Numerics of Microstructure”

June 17-23, 2001

Oberwolfach,Germany

“6th Annual Conference of Computational Mathematics of China”

October 6-10,1999

Shanghai, China

“1st China-Canada Conference on Mathematics”

August 23-27, 1999

Beijing, China

“The 5th Youth Scholars Conference of Computational Mathemtics”

July 1-4, 1999

Beijing, China