个人简介 张硕,男,1982/12/10出生,中级。
Education:
Sep 2003 –Jun 2008
Graduate student,School of Mathematical Sciences , Peking University, China,
PhD supervisors: Professors Ming Wang and Zhiping Li,
PhD thesis: On the numerical methods of Cahn-Hilliard equation.
Sep 1999 –Jun 2003
Undergraduate student,School of Mathematical Sciences, Shandong University, China.
Professional Experience:
Mar 2014 –Now
Associate professor, Institute of Computational Mathematics and Scientific Engineering Computing, Chinese Academy of Sciences, China.
Aug 2009 –Mar 2014
Assistant professor, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, China.
Aug 2013 –Aug 2014
Visiting scholar, Department of Mathematics, The Pennsylvania State University, USA.
Aug 2008 –Aug 2009
Postdoctoral Research Associate, Department of Mathematics, Pennsylvania State University, USA, Mentor: Professor Jinchao Xu.
Honors and Awards:
The Second Award of Excellent Youth Paper of Chinese Computational Mathematical Society. November, 2007.
Funds:
PI NSFC Program, “Optimal solvers for finite element system of fourth order problems", (NSFC **).
PI Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry Program, “Effective fast finite element methods for fourth order partial differential equation", (Grant No. Y390041G23).
PI NSFC Program, “Finite element methods for elastic strain gradient problems", (NSFC**).
Works submitted (*:corresponding author):
Fan, Liu, Z.* Mixed element methods for quad div equations, submitted.
Y. Xi, X. Ji,Z.* A multi-level mixed element scheme of the two dimensional Helmholtz transmission eigenvalue problem, submitted, available as arXiv preprint: arXiv:1707.00567.
Z.*, Amiable mixed schemes for fourth order curl equations, submitted, available as arXiv preprint: arXiv:1607.04923.
Z.*, Decoupled mixed element schemes for fourth order problems, submitted, available as arXiv preprint: arXiv:1611.10029 .
Z.*, Stable mixed element schemes for plate models on multiply-connected domains, submitted, available as arXiv preprint: arXiv:1702.06401.
Z.* Quadratic nonconforming finite element scheme for biharmonic equation on quadrilateral subdivisions, submitted.
Presentations:
Aug 24, 2017 On the order reduced methods for high order problems, Shandong Normal University, Jinan, invited talk.
Jul 31, 2017 Order reduced methods for fourth order problems, Berlin Humboldt Universit?t, Berlin, Germany, in the Workshop on Reliable Methods for Mathematical Modelling VIII.
Jul 24, 2017 Mixed element methods for fourth order problems, Xi’an Jiaotong University, Xi’an, invited talk.
Jul 22, 2017 Mixed element methods for fourth order problems, Northwest Technological University, Xi’an, in the Academic Conference of Computational Mathematics.
Jun 26, 2017 Mixed element methods for fourth order problems, Zhengzhou University, Zhengzhou, invited talk.
Jun 23, 2017 A multigrid method for fourth order eigenvalue problems, Peking University, Beijing, in Workshop on adaptive multigrid methods for multi-physics problems.
Oct 29, 2016 Mixed and multilevel finite element methods for fourth order problems, Beijing University of Technology, in Forum of young scholars on computational mathematics.
Jun 15, 2016 A multi-level mixed element method for the eigenvalue problem of biharmonic equation, Brunel University London, in 15th Conference of the Mathematics of Finite Elements and Applications.
Dec 28, 2015 Rectangular Morley element: its structure and application, Peking University, in the Workshop on Numerical Simulation and Theoretical Analysis.
Dec 24, 2015 Structure of finite element spaces and its application, South University of Science and Technology of China, Shenzhen, invited talk.
Dec 10, 2015 Structure of finite element spaces and its application, Shanghai Jiaotong University, Shanghai, China , invited talk
Oct 26, 2015 Rectangular Morley element: its structure and capacity, Tianjin University of Finance and Economics , in The Fourth Chinese-Russian Workshop on Numerical Mathematics and Scientific Computing.
Aug 14, 2015 Some structure-preserving finite elements in linear elasticity, CNCC, Beijing, in ICIAM 2015.
Aug 11, 2015 User-friendly methods for multi-phase problems, CNCC, Beijing, in ICIAM 2015.
Aug 9, 2015 Some structure-preserving finite elements and their application, Beijing Technology University, Beijing, in the Workshop for FEMs at BI-SEC.
Jul 31, 2015 Some structure-preserving finite elements, Beijing College of Information, in the academician conference of Beijing Society of Computational Mathematics.
Dec 10, 2014 Discrete Stokes complex and optimal solvers for fourth order problems, HongKong Baptist University, Hong Kong, SCPDE 2014, On the Occasion of Eitan Tadmor’s 60th Birthday.
Mar 21, 2014 On the finite element methods for fourth order problem, Michigan Technological University, Houghton, MI, USA, invited talk of Department of Mathematical Sciences(Mathematical Science Colloquium).
Sep 19, 2013 Discrete Stokes complex and optimal solvers for fourth order problems, Universitá della Svizzera italiana (USI - University of Lugano), Lugano, Switzerland, at the Conference of Domain Decomposition XXII.
Sep 13, 2013 Stable Stokes finite element pair and discrete Stokes complex on convex quadrilateral grids, The Pennsylvania State University, State College, PA, USA, at the CCMA PDEs and Numerical Methods Seminar.
July 20, 2013 Stable Stokes finite element pair on convex quadrilateral grids, Kunming University of Science and Technology, Kunming, China, at Workshop on Scientific Computing With Applications.
Jul 28 2011 High-Accuracy NonConforming Finite Element Methods for Fourth Order Problems, Kunming University of Science and Technology, Kunming, China, at Symposium on Computational Science, Engineering and Finance.
Mar 5, 2011 On the Numerical Methods for Cahn-Hilliard Equation, Shanghai Jiaotong University, Shanghai, China, at Colloquium of Institute of Natural Sciences of SJTU.
Feb 8 2011 Nearly Optimal Solver for Biharmonic Problem, University of California in San Diego, USA, at Conference of domain decomposition XX.
Aug 1 2010 An Optimal Solver for Biharmonic Problem, Soochow University Suzhou, China, at Frontiers of Computational and Applied Mathematics.
Jul 9 2010 Nonconforming Finite Element Method for Cahn-Hilliard Equation, Chongqing University, Chongqing, China, at CSIAM Annual Meeting.
Aug 30 2009 Optimal Solver for Ciarlet-Raviart Element Problem of First BV Problem of Biharmonic Equation, Peking University, Beijing, China, at Symposium on Multilevel and Adaptive Finite Element Methods.
Apr 25 2009 Nonconforming Finite Element Method for Cahn-Hilliard Equation, University of Delaware, Delaware, USA, at Finite Element Circus.
Activities organised:
June 14–17, 2016 Efficient computing with finite element methods, a mini-symposium in MAFELAP, London, UK, co-organizer.
Aug 10–14, 2015 Numerical Methods for Multi-physics Problems , a mini-symposium in ICIAM 2015, Beijing, China, co-organizer.
July 6–10, 2015 Development on Non-Self-Similar Domain Decomposition and Multilevel Methods, a mini-symposium in DD23, Jeju, Korea, co-organizer. (Cancelled due to MERS)
研究方向 有限元方法
多水平方法和结构性方法
学术论文 Stable finite element pair for Stokes problem and discrete Stokes complex on quadrilateral grids Z., Numer. Math. 133(2016), 371–408.
Regular decomposition and a framework of order reducd methods for fourth order problems Z., Numer. Math.
A posterior estimator of nonconforming finite element method for fourth-order elliptic perturbation problems Z., M. Wang, J. Comput. Math 26(2008), 554-577.
A nonconforming finite element method for the Cahn–Hilliard equation Z., M. Wang, J. Comput. Phys. 229(2010), 7361-7372.
Optimal solvers for fourth-order PDEs discretized on unstructured grids Z., J. Xu, SIAM J. Numer. Anal. 52(2014), 282–307.
A multi-level mixed element method for the eigenvalue problem of biharmonic equation Z., Y. Xi, X. Ji, Journal of Scientific Computing.
High Accuracy Nonconforming Finite Element Methods for fourth-order Problems M. Wang, P. Zu, Z., Sci. China Math. 55(2012), 2183-2192.
Convergence analysis of the rectangular Morley element scheme for second- order problem in arbitrary dimensions, X. Meng, X. Yang, Z., Sci. China Math., 59(2016), 2245–2264.
Optimal solver for Morley element problem for biharmonic equation on shape-regular grids C. Feng, Z., J. Comput. Math. 34(2016), 159–173.
Capacity of the Adini element for biharmonic equations J. Hu, X. Yang, Z., J. Scient. Comput., 69(2016), 1366–1383
Optimal finite element methods for interface problems J. Xu, Z., pp 77–91, Springer International Publishing, 2016.
A stable mixed element method for biharmonic equation with first-order function spaces Z. Li, Z.*, Comput. Methods Appl. Math., 17(2017), no. 4, 601–616.
A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid Y. Chen, Z.*, J. Comput. Appl. Math., 323(2017), 53–70.
A robust block diagonal preconditioner for elliptic optimal control problems with mixed finite element method W. Gong, Z. Tan, Z.*, Numer. Linear Algebra Appl.
C0 P2 – P0 Stokes finite element pair on sub-hexahedron tetrahedral grids S. Y. Zhang, Z.*, Calcolo.
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中国科学院数学与系统科学研究院导师教师师资介绍简介-张硕
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