Numerical Solutions of Partial Differential Equations: Fast Solution Techniques

November 29 - December 03, 2010

Simulating Our Complex World: Modeling, Computation and Analysis

Content

Overview

Organizers:

Susanne Brenner	Louisiana State University
Robert Falgout	Lawrence Livermore National Laboratory
Ricardo Nochetto	University of Maryland

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

Monday, November 29, 2010

12:01 am	Chair: Ulrich Rüde (Friedrich-Alexander-Universität Erlangen-Nürnberg) General announcements during the week: Susanne C. Brenner (Louisiana State University)
1:15 pm - 2:00 pm	Registration and coffee	Keller 3-176
2:00 pm - 2:15 pm	Welcome to the IMA Fadil Santosa (University of Minnesota, Twin Cities)	Keller 3-180
2:15 pm - 3:00 pm	Some algorithmic aspects of hp-adaptive finite elements Randolph Bank (University of California, San Diego)	Keller 3-180
3:00 pm - 3:45 pm	Why it is so difficult to solve Helmholtz problems with iterative methods Martin Gander (Universite de Geneve)	Keller 3-180
3:45 pm - 4:00 pm	Group photo
4:00 pm - 5:30 pm	Reception and Poster Session Poster submissions welcome from all participants href=/visitor-folder/contents/workshop.html#poster>Instructions	Lind 400

Tuesday, November 30, 2010

12:01 am	Morning Chair: Ronald H.W. Hoppe (University of Houston) Afternoon Chair: Ulrike Meier Yang (Lawrence Livermore National Laboratory)
8:30 am - 9:00 am	Coffee	Keller 3-176
9:00 am - 9:45 am	Fast Solvers for Higher Order Problems Susanne Brenner (Louisiana State University)	Keller 3-180
9:45 am - 10:30 am	Nonsmooth Schur Newton Methods and Applications Ralf Kornhuber (Freie Universität Berlin)	Keller 3-180
10:30 am - 11:00 am	Coffee break	Keller 3-176
11:00 am - 11:45 am	Nonlinear Multigrid Revisited Irad Yavneh (Technion-Israel Institute of Technology)	Keller 3-180
11:45 am - 2:00 pm	Lunch
2:00 pm - 2:45 pm	Multilevel iterative methods for PDEs based on one or no grid Jinchao Xu	Keller 3-180
2:45 pm - 3:30 pm	Domain Decomposition Solvers for PDEs: Some Basics, Practical Tools, and New Developments Clark Dohrmann (Sandia National Laboratories)	Keller 3-180

Wednesday, December 01, 2010

12:01 am	Morning Chair: Guido Kanschat (Texas A & M University) Afternoon Chair: Ludmil Zikatanov (Pennsylvania State University)
8:30 am - 9:00 am	Coffee	Keller 3-176
9:00 am - 9:45 am	Towards Exascale Computing: Multilevel Methods and Flow Solvers for Millions of Cores Ulrich Rüde (Friedrich-Alexander-Universität Erlangen-Nürnberg)	Keller 3-180
9:45 am - 10:30 am	Preconditioning Interior Penalty Discontinuous Galerkin Methods Blanca Ayuso de Dios (Centre de Recerca Matemàtica )	Keller 3-180
10:30 am - 11:00 am	Coffee break	Keller 3-176
11:00 am - 11:45 am	Preconditioners for interface problems in Eulerian formulations David Keyes (King Abdullah University of Science & Technology)	Keller 3-180
11:45 am - 2:00 pm	Lunch
2:00 pm - 2:45 pm	Compatible Relaxation in Algebraic Multigrid Robert Falgout (Lawrence Livermore National Laboratory)	Keller 3-180
2:45 pm - 3:30 pm	New Domain Decomposition Algorithms from Old Olof Widlund (New York University)	Keller 3-180
5:00 pm - 6:30 pm	Social hour Stub and Herbs 227 Oak St Minneapolis, MN 55414

Thursday, December 02, 2010

12:01 am	Morning Chair: Xiaobing Henry Feng (University of Tennessee) Afternoon Chair: Uday Banerjee (Syracuse University)
8:30 am - 9:00 am	Coffee	Keller 3-176
9:00 am - 9:45 am	Optimally Blended Spectral-Finite Element Scheme for Wave Propagation, and Non-Standard Reduced Integration Mark Ainsworth (University of Strathclyde)	Keller 3-180
9:45 am - 10:30 am	Local and global approximation of gradients with piecewise polynomials Andreas Veeser (Università di Milano)	Keller 3-180
10:30 am - 11:00 am	Coffee break	Keller 3-176
11:00 am - 11:45 am	A Parallel, Adaptive, First-Order System Least-Squares (FOSLS) Algorithm for Incompressible, Resistive Magnetohydrodynamics Thomas Manteuffel (University of Colorado)	Keller 3-180
11:45 am - 2:00 pm	Lunch
2:00 pm - 2:45 pm	Implicit Solution Approaches: Why We Care and How We Solve the Systems Carol Woodward (Lawrence Livermore National Laboratory)	Keller 3-180
2:45 pm - 3:30 pm	Coupled atmosphere - wildland fire numerical simulation by WRF-Fire Jan Mandel (University of Colorado)	Keller 3-180
3:30 pm - 4:00 pm	Coffee break	Keller 3-176
4:00 pm - 5:00 pm	Roundtable/discussion Moderator: Robert Falgout (Lawrence Livermore National Laboratory)	Keller 3-180

Friday, December 03, 2010

12:01 am	Morning Chair: Axel Klawonn (Universität Duisburg-Essen) Afternoon Chair: Susanne C. Brenner (Louisiana State University)
8:30 am - 9:00 am	Coffee	Keller 3-176
9:00 am - 9:45 am	Developing fast and scalable implicit methods for shallow water equations on cubed-sphere Xiao-Chuan Cai (University of Colorado)	Keller 3-180
9:45 am - 10:30 am	Domain Decomposition for the Wilson Dirac Operator Andreas Frommer (Bergische Universität-Gesamthochschule Wuppertal (BUGH))	Keller 3-180
10:30 am - 11:00 am	Coffee break	Keller 3-176
11:00 am - 11:45 am	A posteriori error estimator competition for 2nd-order partial differential equations^* Carsten Carstensen (Yonsei University)	Keller 3-180
11:45 am - 2:00 pm	Lunch
2:00 pm - 2:45 pm	Projection based model reduction for shape optimization of the Stokes system Ronald Hoppe (University of Houston)	Keller 3-180
2:45 pm - 3:30 pm	Convergence rates of AFEM with H ^-1 Data Ricardo Nochetto (University of Maryland)	Keller 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, Twin Cities
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, Twin Cities
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
James Brannick	Department of Mathematics	The 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
Carlos Cardoso Borges	Department of Mathematics	Worcester Polytechnic Institute
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, Twin Cities
Chi Hin Chan	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Long Chen	Department of Mathematics	University of California
Heejun Choi	Department of Mathematics	Purdue University
Bernardo Cockburn	School of Mathematics	University of Minnesota, Twin Cities
Jintao Cui	Institute of Mathematics and its Applications	University of Minnesota, Twin Cities
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, The State University Of New Jersey
Xiaobing Feng	Department of Mathematics	University of Tennessee
Oscar Fernandez		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		The University of Texas at Austin
Ronald Hoppe	Department of Mathematics	University of Houston
Yulia Hristova	Institute of Mathematics and its Applications	University of Minnesota, Twin Cities
Jun Hu	School of Mathematical Sciences	Beijing (Peking) University
Guido Kanschat	Interdisciplinary Center for Scientific Computing - IWR	Ruprecht-Karls-Universität Heidelberg
Chiu-Yen Kao	Department of Mathematics	The Ohio State University
David Keyes	Division of Mathematical and Computer Sciences & Engineering	King Abdullah University of Science & Technology
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, Twin Cities
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, Twin Cities
Dmitriy Leykekhman	Department of Mathematics	University of Connecticut
Fengyan Li	Department of Mathematical Sciences	Rensselaer Polytechnic Institute
Hengguang Li		Syracuse University
Jing Li	Department of Mathematical Sciences	Kent State University
Lizao Li	Department of Mathematics	University of Minnesota, Twin Cities
Zhi (George) Lin	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Irene Livshits	Department of Mathematical Sciences	Ball State University
Mitchell Luskin	School of Mathematics	University of Minnesota, Twin Cities
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 Minnesota, Twin Cities
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, Twin Cities
Irina Mitrea	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Dimitrios Mitsotakis	Institute of Mathematics and its Applications	University of Minnesota, Twin Cities
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, Twin Cities
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 Qiu	Institute of Mathematics and its Applications	University of Minnesota, Twin Cities
Vincent Quenneville-Bélair	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, Twin Cities
Ulrich Rüde	Department of Computer Science	Friedrich-Alexander-Universität Erlangen-Nürnberg
Yousef Saad	Department of Computer Science	University of Minnesota, Twin Cities
Fadil Santosa	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
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, Twin Cities
Panagiotis Stinis	School of Mathematics	University of Minnesota, Twin Cities
Li-yeng Sung	Department of Mathematics	Louisiana State University
Nicolae Tarfulea		The Pennsylvania State University
Dimitar Trenev	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
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	The 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	The Pennsylvania State University