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IMA Annual Program Year Workshop
Numerical Solutions of Partial Differential Equations: Fast Solution Techniques
Numerical Solutions of Partial Differential Equations: Fast Solution Techniques
November 29-December 3, 2010
Organizers
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Mathematics, Louisiana State University |
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Lawrence Livermore National Laboratory |
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Mathematics and Institute for Physical Science and Technology, University of Maryland |
Description
The amount of time required to solve the large scale problems arising from numerical partial differential equations is a major concern in using mathematical models based on partial differential equations. Various fast solution techniques, such as adaptive methods, domain decomposition methods and multilevel methods, have been developed to address this issue. This workshop will survey new developments and challenges in these and other fast solution techniques.
Schedule
Download full schedule »| Monday | Tuesday | Wednesday | Thursday | Friday | |||
|---|---|---|---|
| Monday November 29, 2010 | |||
| Chair: Ulrich Rüde (Friedrich-Alexander-Universität Erlangen-Nürnberg) General announcements during the week: Susanne C. Brenner (Louisiana State University) | |||
| 1:15pm-2:00pm | Registration and coffee | Keller Hall 3-176 | |
| 2:00pm-2:15pm | Welcome to the IMA | Fadil Santosa (University of Minnesota) | Keller Hall 3-180 |
| 2:15pm-3:00pm | Some algorithmic aspects of hp-adaptive finite elements | Randolph Bank (University of California, San Diego) | Keller Hall 3-180 |
| 3:00pm-3:45pm | Why it is so difficult to solve Helmholtz problems with iterative methods | Martin Gander (Universite de Geneve) | Keller Hall 3-180 |
| 3:45pm-4:00pm | Group photo | ||
| 4:00pm-5:30pm | Poster submissions welcome from all participants Instructions Lind Hall 400 | ||
| Tuesday November 30, 2010 | |||
| Morning Chair: Ronald H.W. Hoppe (University of Houston) Afternoon Chair: Ulrike Meier Yang (Lawrence Livermore National Laboratory) | |||
| 8:30am-9:00am | Coffee | Keller Hall 3-176 | |
| 9:00am-9:45am | Fast Solvers for Higher Order Problems | Susanne Brenner (Louisiana State University) | Keller Hall 3-180 |
| 9:45am-10:30am | Nonsmooth Schur Newton Methods and Applications | Ralf Kornhuber (Freie Universität Berlin) | Keller Hall 3-180 |
| 10:30am-11:00am | Coffee break | Keller Hall 3-176 | |
| 11:00am-11:45am | Nonlinear Multigrid Revisited | Irad Yavneh (Technion-Israel Institute of Technology) | Keller Hall 3-180 |
| 11:45am-2:00pm | Lunch | ||
| 2:00pm-2:45pm | Multilevel iterative methods for PDEs based on one or no grid | Jinchao Xu (Pennsylvania State University) | Keller Hall 3-180 |
| 2:45pm-3:30pm | Domain Decomposition Solvers for PDEs: Some Basics, Practical Tools, and New Developments | Clark Dohrmann (Sandia National Laboratories) | Keller Hall 3-180 |
| Wednesday December 01, 2010 | |||
| Morning Chair: Guido Kanschat (Texas A & M University) Afternoon Chair: Ludmil Zikatanov (Pennsylvania State University) | |||
| 8:30am-9:00am | Coffee | Keller Hall 3-176 | |
| 9:00am-9:45am | Towards Exascale Computing: Multilevel Methods and Flow Solvers for Millions of Cores | Ulrich Rüde (Friedrich-Alexander-Universität Erlangen-Nürnberg) | Keller Hall 3-180 |
| 9:45am-10:30am | Preconditioning Interior Penalty Discontinuous Galerkin Methods | Blanca Ayuso de Dios (Centre de Recerca Matemàtica ) | Keller Hall 3-180 |
| 10:30am-11:00am | Coffee break | Keller Hall 3-176 | |
| 11:00am-11:45am | Preconditioners for interface problems in Eulerian formulations | David Keyes (King Abdullah University of Science & Technology, Columbia University) | Keller Hall 3-180 |
| 11:45am-2:00pm | Lunch | ||
| 2:00pm-2:45pm | Compatible Relaxation in Algebraic Multigrid | Robert Falgout (Lawrence Livermore National Laboratory) | Keller Hall 3-180 |
| 2:45pm-3:30pm | New Domain Decomposition Algorithms from Old | Olof Widlund (New York University) | Keller Hall 3-180 |
| 5:00pm-6:30pm | Social "hour" Stub and Herbs 227 Oak St Minneapolis, MN 55414 | Stub and Herbs 227 Oak St Minneapolis, MN 55414 (612) 379-0555 | |
| Thursday December 02, 2010 | |||
| Morning Chair: Xiaobing Henry Feng (University of Tennessee) Afternoon Chair: Uday Banerjee (Syracuse University) | |||
| 8:30am-9:00am | Coffee | Keller Hall 3-176 | |
| 9:00am-9:45am | Optimally Blended Spectral-Finite Element Scheme for Wave Propagation, and Non-Standard Reduced Integration | Mark Ainsworth (University of Strathclyde) | Keller Hall 3-180 |
| 9:45am-10:30am | Local and global approximation of gradients with piecewise polynomials | Andreas Veeser (Università di Milano) | Keller Hall 3-180 |
| 10:30am-11:00am | Coffee break | Keller Hall 3-176 | |
| 11:00am-11:45am | A Parallel, Adaptive, First-Order System Least-Squares (FOSLS) Algorithm for Incompressible, Resistive Magnetohydrodynamics | Thomas Manteuffel (University of Colorado) | Keller Hall 3-180 |
| 11:45am-2:00pm | Lunch | ||
| 2:00pm-2:45pm | Implicit Solution Approaches: Why We Care and How We Solve the Systems | Carol Woodward (Lawrence Livermore National Laboratory) | Keller Hall 3-180 |
| 2:45pm-3:30pm | Coupled atmosphere - wildland fire numerical simulation by WRF-Fire | Jan Mandel (University of Colorado) | Keller Hall 3-180 |
| 3:30pm-4:00pm | Coffee break | Keller Hall 3-176 | |
| 4:00pm-5:00pm | Roundtable/discussion Moderator: Robert Falgout (Lawrence Livermore National Laboratory) | Keller Hall 3-180 | |
| Friday December 03, 2010 | |||
| Morning Chair: Axel Klawonn (Universität Duisburg-Essen) Afternoon Chair: Susanne C. Brenner (Louisiana State University) | |||
| 8:30am-9:00am | Coffee | Keller Hall 3-176 | |
| 9:00am-9:45am | Developing fast and scalable implicit methods for shallow water equations on cubed-sphere | Xiao-Chuan Cai (University of Colorado) | Keller Hall 3-180 |
| 9:45am-10:30am | Domain Decomposition for the Wilson Dirac Operator | Andreas Frommer (Bergische Universität-Gesamthochschule Wuppertal (BUGH)) | Keller Hall 3-180 |
| 10:30am-11:00am | Coffee break | Keller Hall 3-176 | |
| 11:00am-11:45am | A posteriori error estimator competition for 2nd-order partial differential equations* | Carsten Carstensen (Yonsei University) | Keller Hall 3-180 |
| 11:45am-2:00pm | Lunch | ||
| 2:00pm-2:45pm | Projection based model reduction for shape optimization of the Stokes system | Ronald Hoppe (University of Houston) | Keller Hall 3-180 |
| 2:45pm-3:30pm | Convergence rates of AFEM with H -1 Data | Ricardo Nochetto (University of Maryland) | Keller Hall 3-180 |
Participants
| NAME | DEPARTMENT | AFFILIATION |
|---|---|---|
| Mark Ainsworth | Department of Mathematics & Statistics | University of Strathclyde |
| Alexander Alekseenko | Department of Mathematics | California State University |
| Paola Antonietti | Department of Mathematics | Politecnico di Milano |
| Douglas Arnold | School of Mathematics | University of Minnesota |
| Gerard Awanou | Department of Mathematical Sciences | Northern Illinois University |
| Blanca Ayuso de Dios | Centre de Recerca Matemàtica | |
| Nusret Balci | Institute for Mathematics and its Applications | University of Minnesota |
| Uday Banerjee | Department of Mathematics | Syracuse University |
| Randolph Bank | Department of Mathematics | University of California, San Diego |
| Andrew Barker | Department of Mathematics | Louisiana State University |
| Andrea Bonito | Department of Mathematics | Texas A & M University |
| Carlos Eduardo Borges | Department of Mathematics | Worcester Polytechnic Institute |
| James Brannick | Department of Mathematics | Pennsylvania State University |
| Susanne Brenner | Department of Mathematics and CCT | Louisiana State University |
| Peter Brune | Department of Computer Science | University of Chicago |
| Xiao-Chuan Cai | Department of Computer Science College of Engineering and Applied Science | University of Colorado |
| Carsten Carstensen | Department Computational Science & Engineering | Yonsei University |
| Fatih Celiker | Department of Mathematics | Wayne State University |
| Aycil Cesmelioglu | Institute of Mathematics and its Applications | University of Minnesota |
| Chi Hin Chan | Institute for Mathematics and its Applications | University of Minnesota |
| Long Chen | Department of Mathematics | University of California, Irvine |
| Heejun Choi | Department of Mathematics | Purdue University |
| Bernardo Cockburn | School of Mathematics | University of Minnesota |
| Jintao Cui | Institute of Mathematics and its Applications | University of Minnesota |
| Alan Demlow | Department of Mathematics | University of Kentucky |
| Clark Dohrmann | Sandia National Laboratories | |
| Tobin Driscoll | Department of Mathematical Sciences | University of Delaware |
| Robert Falgout | Center for Applied Scientific Computing | Lawrence Livermore National Laboratory |
| Richard Falk | Department of Mathematics | Rutgers University |
| Xiaobing Feng | Department of Mathematics | University of Tennessee |
| Oscar Fernandez | Institute of Mathematics and its Applications | University of Michigan |
| Andreas Frommer | Department of Mathematics and Science | Bergische Universität-Gesamthochschule Wuppertal (BUGH) |
| Martin Gander | Department of Mathematics | Universite de Geneve |
| Joscha Gedicke | Department of Mathematics | Humboldt-Universität |
| Matthias Gobbert | Department of Mathematics & Statistics | University of Maryland Baltimore County |
| Jay Gopalakrishnan | Department of Mathematics | University of Florida |
| Shiyuan Gu | Department of Mathematics | Louisiana State University |
| Thirupathi Gudi | Department of Mathematics | Indian Institute of Science |
| Xiaoming He | Department of Mathematics & Statistics | Missouri University of Science and Technology |
| Ying He | Department of Mathematics | Purdue University |
| Yuan He | University of Texas at Austin | |
| Ronald Hoppe | Department of Mathematics | University of Houston |
| Yulia Hristova | Institute of Mathematics and its Applications | University of Minnesota |
| Jun Hu | School of Mathematical Sciences | Beijing (Peking) University |
| Guido Kanschat | Department of Mathematics | Texas A & M University |
| Chiu-Yen Kao | Department of Mathematics | Ohio State University |
| David Keyes | Division of Mathematical and Computer Sciences & Engineering | King Abdullah University of Science & Technology, Columbia University |
| Jung-Han Kimn | Department of Mathematics & Statistics | South Dakota State University |
| Axel Klawonn | Department of Mathematics | Universität Duisburg-Essen |
| Tzanio Kolev | Center for Applied Scientific Computing | Lawrence Livermore National Laboratory |
| Pawel Konieczny | Institute for Mathematics and its Applications | University of Minnesota |
| Ralf Kornhuber | Institut für Mathematik | Freie Universität Berlin |
| Johannes Kraus | Johann Radon Institute for Computational and Applied Mathematics | |
| Christian Kreuzer | Department of Mathematics | Universität Duisburg-Essen |
| Sabine Le Borne | Department of Mathematics | Tennessee Technological University |
| Jungho Lee | Mathematics and Computer Science Division | Argonne National Laboratory |
| Gilad Lerman | School of Mathematics | University of Minnesota |
| Dmitriy Leykekhman | Department of Mathematics | University of Connecticut |
| Fengyan Li | Department of Mathematical Sciences | Rensselaer Polytechnic Institute |
| Hengguang Li | Institute of Mathematics and its Applications | Syracuse University |
| Jing Li | Department of Mathematical Sciences | Kent State University |
| Lizao Li | Department of Mathematics | University of Minnesota |
| Zhi (George) Lin | Institute for Mathematics and its Applications | University of Minnesota |
| Irene Livshits | Department of Mathematical Sciences | Ball State University |
| Mitchell Luskin | School of Mathematics | University of Minnesota |
| Scott MacLachlan | Department of Mathematics | Tufts University |
| Niall Madden | School of Mathematics, Statistics and Applied Mathematics | National University of Ireland, Galway |
| Kara Maki | Institute for Mathematics and its Applications | University of Delaware |
| Jan Mandel | Department of Mathematical and Statistical Sciences | University of Colorado |
| Thomas Manteuffel | Department of Applied Mathematics | University of Colorado |
| Yu (David) Mao | Institute of Mathematics and its Applications | University of Minnesota |
| Irina Mitrea | Institute for Mathematics and its Applications | University of Minnesota |
| Dimitrios Mitsotakis | Institute of Mathematics and its Applications | University of Minnesota |
| Peter Monk | Department of Mathematical Sciences | University of Delaware |
| Michael Neilan | Department of Mathematics & CCT | Louisiana State University |
| Sylvain Nintcheu Fata | Computer Science & Mathematics Division | Oak Ridge National Laboratory |
| Ricardo Nochetto | Department of Mathematics and Institute for Physical Science and Technology | University of Maryland |
| Ioannis Nompelis | Department of Aerospace Engineering and Mechanics | University of Minnesota |
| Minah Oh | Department of Mathematics & Statistics | James Madison University |
| Luke Olson | Department of Computer Science | University of Illinois at Urbana-Champaign |
| Alexandra Ortan | School of Mathematics | University of Minnesota |
| Miao-Jung Ou | Joint Institute for Computational Sciences | Oak Ridge National Laboratory |
| Eun-Hee Park | Department of Mathematics | Louisiana State University |
| Petr Plechac | Department of Mathematics | University of Tennessee |
| Weifeng (Frederick) Qiu | Institute of Mathematics and its Applications | University of Minnesota |
| Vincent Quenneville-Belair | School of Mathematics | University of Minnesota |
| Rachel Quinlan | School of Mathematics, Statistics and Applied Mathematics | National University of Ireland, Galway |
| Armin Reiser | Department of Mathematics | Louisiana State University |
| Fernando Reitich | School of Mathematics | University of Minnesota |
| Ulrich Rüde | Department of Computer Science | Friedrich-Alexander-Universität Erlangen-Nürnberg |
| Yousef Saad | Department of Computer Science | University of Minnesota |
| Fadil Santosa | Institute for Mathematics and its Applications | University of Minnesota |
| Marcus Sarkis | Department of Mathematical Sciences | Worcester Polytechnic Institute |
| Francisco Serpa | Booz Allen Hamilton Inc. (BAH) | |
| Jie Shen | Department of Mathematics | Purdue University |
| Jiguang Shen | University of Minnesota | |
| Panagiotis Stinis | School of Mathematics | University of Minnesota |
| Li-yeng Sung | Department of Mathematics | Louisiana State University |
| Nicolae Tarfulea | Department of Mathematics, Computer Science and Statistics | Pennsylvania State University |
| Dimitar Trenev | Institute for Mathematics and its Applications | Texas A & M University |
| Ray Tuminaro | Computation Computers and Mathematics Center | Sandia National Laboratories |
| Andreas Veeser | Dipartimento di Matematica 'F. Enriques' | Università di Milano |
| Kening Wang | Department of Mathematics & Statistics | University of North Florida |
| Olof Widlund | Department of Computer Science | New York University |
| Carol Woodward | Department of Applied Scientific Computing | Lawrence Livermore National Laboratory |
| Dexuan Xie | Department of Mathematical Sciences | University of Wisconsin |
| Jinchao Xu | Department of Mathematics | Pennsylvania State University |
| Sergey Yakovlev | Department of Mathematics | Rensselaer Polytechnic Institute |
| Ulrike Yang | Center for Applied Scientific Computing | Lawrence Livermore National Laboratory |
| Irad Yavneh | Faculty of Computer Science | Technion-Israel Institute of Technology |
| Haijun Yu | Department of Mathematics | Purdue University |
| Suxing Zeng | Department of Mathematics & Statistics | Wright State University |
| Shangyou Zhang | Department of Mathematical Sciences | University of Delaware |
| Yi Zhang | Louisiana State University | |
| Ludmil Zikatanov | Department of Mathematics | Pennsylvania State University |
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