Satyendra K. Tomar Date of birth: 16th May 1973, Nationality: Indian

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1 (, ) Date of birth: 16th May 1973, Nationality: Indian Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstrasse 69, A-4040 Linz, Austria Off: ( ) , Fax: ( ) , Mob: (+43) Work experience: Senior Research Scientist (Since Jan 09): Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Austria. Research Scientist (Jan 05 to Dec 08): Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Austria. Post-Doctoral Researcher (Nov 01 to Oct 04): Department of Applied Mathematics, University of Twente, The Netherlands. Project Senior Research Assistant (Nov 00 to May 01): Department of Mechanical Engineering, IIT Kanpur, India. Teaching Assistant (Jul 96 to Jul 00): Department of Mathematics, IIT Kanpur, India. CSIR Research Fellow (Aug 95 to Jul 00): Department of Mathematics, IIT Kanpur, India. Education: Ph.D., May 02, Department of Mathematics, IIT Kanpur, , India. Thesis: h-p Spectral Element Methods for Elliptic Problems on Non-smooth Domains using Parallel Computers. M.Phil. (Computer Application), May 95, & M.Sc. (Applied Mathematics), May 94, Department of Mathematics, IIT Roorkee, , India. Project: Direct vs. Iterative Methods for a system of algebraic linear equations. B.Sc., July 92, CCS University, Meerut, , India. Professional experience: Editor of E-books, Bentham Science Publishers. Referee for Journal of Electromagnetic Waves and Applications, Progress in Electromagnetic Research, published from MIT. Reviewer for Mathematical Reviews, American Mathematical Society. Ph.D. thesis examiner, Adaptive meshes in computer graphics and model-based simulation, by Pavlo Turchyn, University of Jyväskylä, Finland. Special course at the Johannes Kepler University, Linz (Austria): Fast Solvers, Winter Semester Co-organizer (with A. Ern, ENPC, France) of the minisymposium on A posteriori error estimates for discontinuous Galerkin methods during the MAFELAP conference, London, UK, June of 6

2 Special course at the Johannes Kepler University, Linz (Austria): Discontinuous Galerkin methods: Basics, Computations and Applications, Winter Semester Managing committee member of the 17th International conference on Domain Decomposition methods, St. Wolfgang/Strobl, Austria, July 03-07, Local co-organizer (with R. Lazarov, Texas A&M University, USA) of the course Discontinuous Galerkin Methods in the Special Semester on Computational Mechanics, held at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) Linz, Austria, October 3 - December 16, 05. Miniworkshop, lectures, and seminars were organized where wide ranging topics were covered. For details see Co-organizer (with P. Daripa, Texas A&M University, USA) of the minisymposium Fast and Efficient Methods for PDE and Applications during SIAM conference on Computational Science and Engineering, San Diego, USA, Feb 03. Past member of the American Mathematical Society (AMS), Society for Industrial and Applied Mathematics (SIAM), and of the Computational Science & Engineering, and Supercomputing activity groups of the SIAM. Research projects: Isogeometric method for numerical solution of partial differential equations. This project has been approved by the Austrian Science Fund with a total budget of 216, 000 Euros, and has been started in July This project carries two positions, one at the post-doctoral level (candidate already selected), and one at the PhD level (to be filled soon). Advanced numerical methods for discretization, iterative solution and error estimation. A revised version of this project has been submitted to the Austrian Science Fund (jointly to the Russian Foundation of Basic Research by the Russian collaborator Prof. S. Repin, St. Petersburg, Russia). The Austrian part of this project, with a total budget of 276, 000 Euros, carries a PhD position and a senior postdoc position. Scientific visits: ICES, University of Texas, Austin, July-August, During this visit, apart from the research collaboration with Prof. Hughes and his team members, a lecture titled On functional-type a posteriori error estimates for non-conforming approximations of elliptic problems was delivered. Department of Mathematics, Panjab University Chandigarh (India), December, During this visit, apart from the research interaction with the faculty members of the department, a lecture titled Guaranteed error estimation with optimal cost was delivered. Indian Institute of Science Education and Research Mohali (India), December During this visit, apart from the research interaction with the faculty members of the department, a lecture titled Cost effective guaranteed a posteriori error estimates for discontinuous Galerkin approximations was delivered within the framework of Institute Colloquia and Seminars. Department of Mathematics, University of Zurich (Switzerland), October, During this visit a lecture titled Cost effective guaranteed a posteriori error estimates using optimal order multilevel method was delivered in Seminar on Numerical Analysis. University of Jyvaskyla (Finland), August, During this visit a lecture titled Efficient a posteriori error estimates for nonconforming approximation of elliptic problems based on Helmholtz type decomposition of error was delivered. 2 of 6

3 Institute of Mathematics, Helsinki University of Technology (Finland), November, During this visit a lecture titled Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems was delivered in Seminar on Numerical Analysis and Computational Science. Scientific computing skills: Programming Languages Fortran 77, Fortran 90, and C++. Parallel computing Using MPI (distributed memory paradigm). Packages Matlab, Maple, Mathematica, Tecplot, Gnuplot, etc. Operating Systems Unix (and its major derivatives, such as AIX, Solaris, IRIX), Linux, and Microsoft Windows from XP onwards (including MS-Office). Scholastic achievements: J. Tinsley Oden Faculty Research Fellowship for one month duration during July-August 2009: To collaborate on research at the Institute of Computational Engineering and Sciences at the University of Texas at Austin (sponsor Prof. Thomas J.R. Hughes). The Dr. Shanker Dayal Sharma Medal - 02 for outstanding all round contribution in the graduating class of the postgraduate programmes of study during 34th convocation of IIT Kanpur, 28th May 02 (Dr. S.D. Sharma, honorable ex-president of India). Qualified the National Eligibility Test for teaching and fellowship for research, conducted by Council of Scientific & Industrial Research (CSIR) - Dec 94. Qualified the Graduate Aptitude Test in Engineering (GATE) - Mar 95 and Mar 94. Research Fellowship: Aug 95 to Aug 00 from CSIR and Jul 94 to Jul 95 from GATE Merit Scholarship: From Jan 93 to May 94 during M.Sc. Research interests: High order discretization methods for partial differential equations (i.e. h-p spectral/finite element methods, discontinuous Galerkin (DG) methods) and their application (e.g. for water waves, free surface flows, elasticity, and computational mechanics/cfd), iterative linear algebra solution techniques, a-posteriori error estimates, parallel computing, and scientific software development. Refereed publications: 16. Algebraic multilevel iteration method for lowest-order Raviart-Thomas space and applications (with J. Kraus). Int. J. Numer. Meth. Engrg., in revision. 15. Boundary element simulation of linear water waves in a model basin (with C. Hofreither, and U. Langer). In Proceedings of Seventh International Conference on Large Scale Scientific Computations, to be published by Springer as LNCS. 14. Guaranteed and robust error bounds for nonconforming approximations of elliptic problems (with S. Repin). IMA J. Numer. Anal., in press. 3 of 6

4 13. Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems (with S. Repin). J. Comput. Appl. Math., 226, , Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems (with R. Lazarov and S. Repin). Numer. Methods Partial Differential Equations, 25, , A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems (with J. Kraus). Numer. Linear Algebra Appl., 15, , A multilevel method for discontinuous Galerkin approximation of three-dimensional elliptic problems (with J. Kraus). In Domain Decomposition Methods in Science and Engineering XVII, LNCSE, 60, Langer et al. eds, , Springer, Heidelberg, Multilevel preconditioning of two-dimensional elliptic problems discretized by a class of discontinuous Galerkin methods (with J. Kraus). SIAM J. Sci. Comput., 30, , A Runge-Kutta discontinuous Galerkin method for linear free-surface gravity waves using high order velocity recovery (with J.J.W. van der Vegt). Comput. Methods Appl. Mech. Engrg., 196, , h-p spectral element method for elliptic problems on non-smooth domains using parallel computers. Computing, 78, , A parallel h-p spectral element method for elliptic problems on polygonal domains - mixed boundary conditions (with P. Dutt). In Industrial Mathematics, M.C. Joshi, A.K. Pani and S.V. Sabnis eds, , Narosa Publishing House, New Delhi, Discontinuous Galerkin Method for linear free-surface gravity waves (with J.J.W. van der Vegt). J. Sci. Comput., 22/23, , An implicit discontinuous Galerkin finite element method for water waves (with J.J.W. van der Vegt). In Computational Mechanics, Z.H. Yao, M.W. Yuan and W.X. Zhong eds, , Tsinghua University Press & Springer, Stability estimates for h-p spectral element methods for general elliptic problems on curvilinear domains (with P. Dutt). Proc. Indian Acad. Sci. (Math. Sci.), 113, , An efficient and exponentially accurate parallel h-p spectral element method for elliptic problems on polygonal domains - The Dirichlet case (with P. Dutt and B.V. Rathish Kumar). In High Performance Computing, LNCS, 2552, Sahni et al. eds, , Springer, Berlin, Stability estimates for h-p spectral element methods for elliptic problems (with P. Dutt and B.V. Rathish Kumar). Proc. Indian Acad. Sci. (Math. Sci.), 112, , Other publications: 2. Parallel h-p Spectral Element Method for Elliptic Problems on Polygonal Domains (with P. Dutt and B.V. Rathish Kumar). In CD-ROM Proceedings of the 9th Euro Conference on Numerical Methods and Computational Mechanics, (Ph.D. Thesis) h-p Spectral Element Methods for Elliptic Problems on Non-smooth Domains using Parallel Computers. Technical Memorandum 1631, Department of Applied Mathematics, University of Twente, Enschede. ISSN , of 6

5 Talks/Lectures: 28. (Invited) On functional-type a posteriori error estimates for non-conforming approximations of elliptic problems (with J. Kraus, and S. Repin). ICES Seminar, University of Texas, Austin, August 13, Optimal cost for functional-type aposteriori error estimates for discontinuous Galerkin approximations (with J. Kraus, and S. Repin). Minisymposium A posteriori error estimates for discontinuous Galerkin methods, during The Mathematics of Finite Elements and Applications (MAFELAP), Brunel University, West London, UK, June 9-12, (Invited) Guaranteed error estimation with optimal cost (with J. Kraus, and S. Repin). Department of Mathematics, Panjab University Chandigarh, India, December 31, (Invited) Cost effective guaranteed a posteriori error estimates for discontinuous Galerkin approximations (with J. Kraus, and S. Repin). Institute Colloquia and Seminars, Indian Institute of Science Education and Research Mohali, India, December 30, (Invited) Cost effective guaranteed a posteriori error estimates for discontinuous Galerkin approximations (with J. Kraus, and S. Repin). International Conference on Recent Trends in Computational Partial Differential Equations, Mumbai, India, December 10-13, (Invited) Cost effective guaranteed a posteriori error estimates using optimal order multilevel method (with J. Kraus, and S. Repin). Seminar on Numerical Analysis, Department of Mathematics, University of Zurich, Switzerland, October 30, (Invited) Efficient a posteriori error estimates for nonconforming approximation of elliptic problems based on Helmholtz type decomposition of error (with J. Kraus, and S. Repin). Workshop on Reliable Modeling and Scientific Computing, Jyvaskyla, Finland, August 15-16, (Invited) Multilevel preconditioning in H(div) and applications to a posteriori error estimates (with J. Kraus, and S. Repin). Parallel Matrix Algorithms and Applications, Neuchatel, Switzerland, June 20-22, A posteriori error estimates for nonconforming approximation of elliptic problems based on Helmholtz type decomposition of the error (with S. Repin). 4th Austrian Numerical Analysis Day, Linz, Austria, April 24-25, Practical aspects of functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems (with S. Repin). 7th European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 7), Graz, Austria, September 10-14, (Invited) Guaranteed and computable a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems (with S. Repin). International Workshop on Reliable Methods of Mathematical Modeling, St. Petersburg, Russia, July 24-27, (Invited) A Multilevel Method for Discontinuous Galerkin Approximation of Three-Dimensional Anisotropic Elliptic Problems (with J. Kraus). Special session on robust multilevel and hierarchical preconditioning methods, 6th International conference on Large-Scale Scientific Computations, Sozopol, Bulgaria, June 5-9, (Invited) High-order discretization, optimal order iterative solution and a posteriori error estimation. MACSI, University of Limerick, Ireland, December 6, (Invited) Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems (with S. Repin). Seminar on Numerical Analysis and Computational Science, Institute of Mathematics, Helsinki University of Technology, Finland, October 30, of 6

6 14. (Invited) Multilevel preconditioning of elliptic problems discretized by a class of discontinuous Galerkin methods (with J. Kraus). Minisymposia on advanced multigrid methods for system of PDEs, 17th International conference on domain decomposition methods (DD 17), St. Wolfgang/Strobl, Austria, July 3-7, A-posteriori error estimates for discontinuous Galerkin method (with R. Lazarov and S. Repin). The Mathematics of Finite Elements and Applications (MAFELAP), Brunel University, West London, UK, June 13-16, Unified analysis of discontinuous Galerkin methods for elliptic problems - II - Stability and error estimates. Special (Radon) semester on Computational Mechanics, RICAM, Linz, Austria, December 13, Unified analysis of discontinuous Galerkin methods for elliptic problems - I. Special (Radon) semester on Computational Mechanics, RICAM, Linz, Austria, December 6, Discontinuous Galerkin methods for elliptic problems: An overview and error analysis (with R. Lazarov and S. Repin). Miniworkshop on discontinuous Galerkin methods, Special (Radon) Semester on Computational Mechanics, RICAM, Linz, Austria, November 29, A new discontinuous Galerkin finite element method for free surface flow simulation (with J.J.W. van der Vegt). 6th European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 6), Santiago de Compostela, Spain, July 18-22, (Invited) Water waves in a model basin Numerical simulation using discontinuous Galerkin method (with J.J.W. van der Vegt). Conference on Recent Trends in Nonlinear Analysis and its Applications (CNAA - 04), IIT Bombay, India, December 11-13, (Invited Participation) in the Indo-UK Study Group Meeting on Industrial Problems (SGMIP - 04), IIT Bombay, India, December 06-10, (Invited) An implicit discontinuous Galerkin method for linear water waves (with J.J.W. van der Vegt). RICAM, Linz, Austria, September 27, (Invited) An exponentially accurate parallel h-p spectral element method for elliptic problems on non-smooth domains (with P. Dutt). RICAM, Linz, Austria, September 27, (Invited) Parallel h-p Spectral Element Method for General Elliptic Boundary Value Problems on Curvilinear Polygons (with P. Dutt). 303 WE - Heraeus Seminar on Adaptivity in Finite Element Analysis: Models, Meshes and Polynomial Order, Physikzentrum Bad Honnef, Germany, September 7-10, Discontinuous Galerkin Methods for Water Waves (with J.J.W. van der Vegt). SIAM Conference on Computational Science and Engineering, San Diego, CA, February 10-13, Parallel h-p Spectral Element Method for Elliptic Problems on Polygonal Domains - Mixed Boundary Conditions (with P. Dutt). SIAM Conference on Computational Science and Engineering, San Diego, CA, February 10-13, h-p Spectral Element Method for Elliptic Problems on Polygonal Domains using Parallel Computers (with P. Dutt and B.V. Rathish Kumar). 9th Euro Conference on Numerical Methods and Computational Mechanics, University of Miskolc, Hungary, July 15-19, of 6

CURRICULUM VITAE. Jie Du

CURRICULUM VITAE. Jie Du CURRICULUM VITAE Jie Du Yau Mathematical Sciences Center Tsinghua University Beijing 100084, P.R. China Office: Room 135, Jin Chun Yuan West Building E-mail: jdu@tsinghua.edu.cn Education joint Ph.D. student,