Yunrong Zhu: Curriculum Vitae

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1 Yunrong Zhu: Curriculum Vitae Department of Mathematics Office : 5824 AP&M Building University of California, San Diego Phone : 1-(858) Gilman Drive, Dept zhu@math.ucsd.edu La Jolla, CA , USA Web : Research Interests Analysis and Numerical Approximation of PDE Adaptive Methods and Efficient Solvers Nonlinear PDE Education & Qualifications Ph.D. in Applied Mathematics and Scientific Computing, Aug. 2008, PA, USA. The Computational Science Graduate Minor (Doctoral Degree), Aug. 2008, PA, USA. M.S. in Applied and Computational Mathematics, June 2003 Southeast University, Nanjing, Jiangsu, China. B.S. in Computational Mathematics, June 2000 Southeast University, Nanjing, Jiangsu, China. Honors and Awards 2007 : Pritchard Dissertation Fellowship, Penn. State University 2002 : NI & LI Alumni Scholarship, Southeast University Excellent Student, Southeast University 2000: Outstanding Graduate Student, Southeast University Outstanding Thesis, Southeast University 1999: Excellent Student, Southeast University 1998: NI & LI Alumni Scholarship, Southeast University Excellent Student, Southeast University Third Place in the National MCM Contest, Southeast University 1997: Excellent Student, Southeast University Research Experience Oct Current Mentor: Michael Holst Postdoctoral Fellow May 2007 Aug Mentor: Ray Tuminaro Compatible discretization and AMG for H(div) equations UC San Diego, La Jolla CA Sandia National Lab, Livermore CA I

2 May 2005 Aug Supervisor: Jinchao Xu Adaptive Multilevel Methods. Aug Apr Supervisor: Chong Li Approximation Theory. Teaching Experience Fall 2007 Instructor: MATH 220 Matrices Fall 2006 Instructor: MATH 017 Finite Mathematics Spring 2006, Spring and Fall 2005 Recitation: MATH 110 Techniques of Calculus I Southeast University, China Fall 2003 Spring 2005 Grader: a variety courses including Math 484 (Linear Programming), Math 513/514 (PDE I/II) Services Co-organizer of REB60: Adaptive and Multilevel Methods for Partial Differential Equations (In honor of Randolph Bank s 60th Birthday). November 13-14, 2009, UC San Diego in La Jolla, CA Co-organizer of PCGM26: 26th Pacific Coast Gravity Meeting. Mar , 2010, UC San Diego in La Jolla, CA Co-organizer of DDXX: 20th International Conference on Domain Decomposition Methods , 2011, UC San Diego in La Jolla, CA Feb. Co-organizer of Minisymposium: Optimal Solvers from Multi-grid and Two-grid to One-grid and No-grid in DD20. Feb , 2011, UC San Diego in La Jolla, CA Co-organizer of GPDE2011: Workshop on Geometric Numerical Methods for PDE. Nov. 2011, UC San Diego in La Jolla, CA Referee Mathematics of Computation (3) Numerische Mathematik (4) SIAM Journal on Scientific Computing (2) SIAM Journal on Numerical Analysis (2) Journal of Computational Mathematics (4) Numerical Linear Algebra with Applications (4) Applied Mathematics and Computation (2) International Journal of Computer Mathematics (2) Nonlinear Analysis: Theory, Methods & Applications (1) Central European Journal of Mathematics (1) Domain Decomposition Proceedings (4) II

3 Publications 17. Convergence of Goal-Oriented Adaptive Finite Element Methods for Semilinear Problems. M. Holst, S. Pollock and Y. Zhu, Submitted for publication 2012, Preprint available arxiv: v1 16. Two-grid Methods for Semilinear Interface Problems. M. Holst, R. Szypowski and Y. Zhu, Submitted for publication 2012, Preprint available arxiv: v1 15. Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic PDE with jump coefficient. Y. Zhu, Submitted for publication 2011, Preprint available arxiv: v1 14. Finite Element Error Estimates for Critical Exponent Semilinear Problems without Angle Conditions. R. E. Bank, M. Holst, R. Szypowski and Yunrong Zhu, Submitted for publication 2011, arxiv: Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients. B. Ayuso De Dios, M. Holst, Y. Zhu and L. Zikatanov, Submitted for publication 2011, arxiv: Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson- Boltzmann Equation. M. Holst, R. Szypowski and Y. Zhu, Submitted for publication 2011, arxiv: Multilevel Preconditioners for Discontinuous Galerkin Discretizations for Jump Coefficient Problems. B. Ayuso de Dios, M. Holst, Y. Zhu and L. Zikatanov, Submitted to Math. Comp (In Processing), arxiv:math.na/ Local Multilevel Preconditioners for Elliptic Equations with Jump Coefficients on Bisection Grids. L. Chen, M. Holst, J. Xu and Y. Zhu, Submitted for publication 2010, arxiv: Local Convergence of Adaptive Methods for Nonlinear Partial Differential Equations. M. Holst, G. Tsogtgerel and Y. Zhu, Submitted for publication 2009, arxiv:math.na/ Robust Preconditioner for H(curl) Interface Problems. J. Xu and Y. Zhu, In Domain Decomposition Methods in Science and Engineering XIX, , Springer, Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation. M. Holst, J, McCammon, Z. Yu, Y.C. Zhou and Y. Zhu, Communications in Computational Physics, 11(1), , 2012 (Published Online: September 8, 2011). 6. Auxiliary Space Preconditioners for Mixed Finite Element Methods., R. Tuminaro, J. Xu and Y. Zhu, In Domain Decomposition Methods in Science and Engineering XVIII, , Springer, Robust Preconditioners for H(grad), H(curl) and H(div) Systems with Strongly Discontinuous Coefficients, Ph.D Thesis, Penn. State Univ., Uniform Convergent Multigrid Methods for Elliptic Problems with Strongly Discontinuous Coefficients, J. Xu and Y. Zhu, Mathematical Models and Methods in Applied Sciences Vol. 18, No.1, , Domain Decomposition Preconditioners for Elliptic Problems with Jump Coefficients, Y. Zhu, Numerical Linear Algebra with Applications Vol. 15, No. 2-3, , Compatible Gauge Approach for H(div) Equations, P. Bochev, C. Siefert, R. Tuminaro, J. Xu and Y. Zhu, SNL-CSRI Summer Proceeding, III

4 1. Convergence Analysis of Adaptive Finite Volume Element Methods for General Elliptic Equations, J. Xu, Y. Zhu and Q. Zou, Tech. Report AM296, Invited Talks Design and Analysis of Adaptive Finite Element Methods for Nonlinear PDE, ICES Seminar, University of Texas at Austin, Jan A Two-grid Method for Semilinear Interface Problems, In AMS-SIAM Special Session on the Mathematics of Computation: Differential Equations, Linear Algebra, and Applications, JMM 2012, Boston, Jan A Priori Estimates and Adaptive Methods for Geometric Partial Differential Equations, In Minisymposia on Exploiting Geometry in the Development of Numerical Methods for Partial Differential Equations, SIAM PD11, San Diego, Jul Multilevel Preconditioners for Interior Penalty Discontinuous Galerkin Approximations of Elliptic Problems with Variable Coefficients, In Minisymposium on Discontinuous Galerkin Methods, 11th USNCCM, Minneapolis, Jul FEM for Semilinear Elliptic PDEs with Critical/Subcritical Exponent without Angle Condition, In Minisymposium on Computational Methods for Geometric PDEs, ICIAM11, Vancouver, Jul Multilevel Preconditioners for Interior Penalty Discontinuous Galerkin Discretizations of Elliptic Problems with Jump Coefficients, In Minisymposia on Advances in Locally Mass Conservative Discretizations for Fluid Flows, ICIAM11, Vancouver, Jul Convergence of Adaptive Finite Element Methods with Inexact Solvers for Poisson-Boltzmann Equations, In Minisymposia on Multilevel Mesh Adaptation and Beyond: Computational Methods for Solving Complex Systems, AMS Sectional Meeting, UNLV, May 1, 2011 Multilevel Preconditioners for CR Discretization of Second Order Elliptic Equations with Jump Coefficients, In Minisymposia on Optimal Solvers from Multi-grid and Two-grid to One-grid and No-Grid, DDXX, Univ. of California at San Diego, Feb Convergence of Adaptive Finite Element for the Nonlinear Poisson-Boltzmann Equation, In Minisymposia on Theory and Application of Adaptive and Multilevel Methods, DDXX, Univ. of California at San Diego, Feb Multilevel Preconditioners for DG Approximations of PDEs with Variable Coefficients, Applied Mathematics Colloquium, Univ. of California at Irvine, Jan. 31, 2011 Convergence of adaptive finite element methods for nonlinear PDEs, In Minisymposia on Mathematics of Computation, JMM, San Francisco, Jan 13-16, 2010 Robust Multilevel Preconditioners for Elliptic Equations with Jump Coefficients on Bisection Grids, In Minisymposium on Coarse Spaces for Multiscale Heterogeneous Problems, DD19, Aug. 18, 2009 Contributed and Seminar Talks A Two-grid Finite Element Method for Semilinear PDEs with Interface, CCoM Seminar, Univ. of California at San Diego, Oct Local convergence of adaptive methods for nonlinear equations, Workshop on Multilevel and Adaptive Methods, Peking Univ., Aug. 28, 2009 Auxiliary AMG Preconditioner for Maxwel l Equations with Jump Coefcients, MCP Group Meeting and CSME Journal Club, UCSD, Oct. 30, 2008 IV

5 Robust Multilevel Preconditioners for PDEs with Jump Coefcients, Center for Computational Mathematics (CCoM) Seminar, Oct. 28, 2008 Efficient Solvers for Problems with Variable Coefficients, CCMA Luncheon Seminar, Penn. State University, University Park, PA, Nov Robust Multilevel Methods for Problems with Strongly Discontinuous Coefficients, Finite Element Circus, Cornell University, NY, Oct Convergence Analysis of Adaptive Finite Volume Methods, Thirteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, March V

6 References Professor Blanca Ayuso de Dios Centre de Recerca Matemtica Phone: 34-(935) Campus de Bellaterra, Edifici C FAX: 34-(935) Bellaterra bayuso@crm.cat Barcelona, Spain Web: Professor Randolph E. Bank Department of Mathematics Phone: 1-(858) University of California, San Diego FAX: 1-(858) Gilman Drive, Dept rbank@ucsd.edu La Jolla, CA , USA Web: Associate Professor Long Chen Department of Mathematics Phone: 1-(949) University of California, Irvine chenlong@uci.edu Irvine, CA 92697, USA Web: Evan Pugh Professor Nigel Higson Department of Mathematics Phone: 1-(814) Penn. State University higson@math.psu.edu University Park, PA 16802, USA Web: Professor Michael J. Holst Department of Mathematics Phone: 1-(858) University of California, San Diego FAX: 1-(858) Gilman Drive, Dept mholst@math.ucsd.edu La Jolla, CA , USA Web: Doctor Ray S. Tuminaro Computation, Computers, Information and Mathematics (CCIM) Center Sandia National Laboratories Livermore, CA USA Phone: 1-(925) rstumin@sandia.gov Web: Professor Jinchao Xu Francis R. and Helen M. Pentz CCMA, Department of Mathematics Phone: 1-(814) Penn. State University xu@math.psu.edu University Park, PA 16802, USA Web: Professor Ludmil Zikatanov Department of Mathematics Phone: 1-(814) Penn. State University ludmil@psu.edu University Park, PA 16802, USA Web: Date: May 16, 2012 VI

Yunrong Zhu: Curriculum Vitae

Yunrong Zhu: Curriculum Vitae Appointments Education Department of Mathematics & Statistics Office : Physical Sciences 328B Idaho State University, Pocatello Phone : 1-(208) 282-3819 921 South 8th Ave.,