| Workshop on Geometric Numerical Methods for PDE | ||
| November, 2011 | ||
| UC San Diego in La Jolla, California |
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Workshop on Geometric Numerical Methods for PDE (UCSD, 11/13)
On Sunday November 13, 2011, the Center for Computational Mathematics (CCoM) at UCSD is hosting a small half-day workshop on Geometric Numerical Methods for partial differential equations (PDE), focusing on FEEC, SFEM, and DEC. This workshop is being organized in conjunction with a two-part minisymposium on November 14-15, 2011, at the SIAM Conference on Analysis of PDE being held in San Diego on November 14-17, 2011. On the left side of this page you will find links to the schedule of talks, to practical information about UCSD and San Diego, and to the list of participants. We are also running a weekly seminar series this year at UCSD that is closely related to the topics of the workshop and the minisymposium. The seminar series consists of a sequence lectures by several different speakers, covering a range of topics in mathematical and numerical general relativity; for more information, see the MNGR Website. SUN 11/13: Half-Day Workshop (UCSD)Organizers: Michael Holst, University of California, San Diego, USA Alan Demlow, University of Kentucky, USA Andrew Gillette, University of California, San Diego, USA Yunrong Zhu, University of California, San Diego, USA Title: Workshop on Geometric Numerical Methods for Partial Differential Equations Abstract: The goal of the Sunday workshop at UCSD that preceeds the SIAM meeting is to discuss in a more focused way the recent developments in the theories for surface finite element methods (SFEM), finite element exterior calculus (FEEC), and discrete exterior calculus (DEC). The plan is to have a sequence of 4-5 talks by some of the active people in the each of the three areas, covering some of the recent work in the areas. The hope is that by getting people in the same room for an afternoon, we can build some bridges between the terminology and techniques in each of the three areas, with the goal of pushing forward the theory and understanding of these methods. Location: All talks for the Sunday workshop will be held on the UCSD campus in AP&M 2402. Schedule of talks: The schedule can be found here. MON-TUE 11/14-11/15: SIAM PDE 2011 Minisymposium (SIAM)Organizers: Michael Holst, University of California, San Diego, USA Alan Demlow, University of Kentucky, USA Ryan Szypowski, Cal Poly Pomona, USA Title: Exploiting Geometry in the Development of Numerical Methods of Partial Differential Equations Abstract: The role of geometry in the development and analysis of numerical methods for partial differential equations has grown dramatically over the last two decades. Surface finite element methods have emerged to require a more sophisticated geometric analysis than provided by the Strang Lemmas, and mixed finite elements have been found to have deep connections with the calculus of exterior differential forms, de Rham cohomology and Hodge theory, culminating in the development of finite element exterior calculus. In this minisymposium, we will examine the recent convergence of these ideas, and look ahead at some exciting new developments on the horizon. Location: Part I: MS16 - Monday, November 14, 2pm-4pm, Salon B Room, San Diego Marriot Mission Valley Hotel Part II: MS44 - Tuesday, November 15, 2pm-4pm, Salon B Room, San Diego Marriot Mission Valley Hotel Schedule of talks: The schedule can be found here. |
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