Workshop: FEEC + AFEM @ UCSD (January 14-25, 2013)
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JMM 2013 Minisymposium @ SDCC (January 10-11, 2013)

During the two weeks of January 14-25, 2013, the Center for Computational Mathematics (CCoM) at UCSD is hosting a two-week mini-workshop on Geometric Numerical Methods for Partial Differential Equations (PDE), with a primary focus on FEEC (Finite Element Exterior Calculus) and AFEM (Adaptive Finite Element Methods). This is the second workshop in the series; the first workshop (GPDE2011) was held at UCSD in Fall 2011 in conjunction with the SIAM Conference on Analysis of PDE. Similarly, the 2013 workshop is being organized in conjunction with a two-part minisymposium (and a third session of shorter talks) on January 10-11, 2013. The minisymposium is part of the Joint Mathematics Meetings being held at the San Diego Convention Center (SDCC) in Downtown San Diego on January 9-12, 2013. 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.


Thu Jan 10 - Fri Jan 11: JMM 2013 Minisymposium (SDCC)


Organizers:
      Doug Arnold, University of Minnesota, USA
      Andrew Gillette, University of California, San Diego, USA
      Michael Holst, University of California, San Diego, USA

Title: Finite Element Exterior Calculus and Applications

Abstract:
The theory of finite element exterior calculus (FEEC) has united more than two decades of work on linear mixed variational problems and their numerical approximation by mixed methods under the umbrella of differential geometry. Recent work has sparked a growing interest in how the FEEC framework for elliptic PDEs and elasticity problems can be expanded to applications including semi-linear problems, geometric variational crimes, evolution equations, a posteriori error estimates, adaptive methods, and elastodynamics. In this session, we have invited a variety of speakers to discuss the most recent trends in this growing area of research at the intersection of theoretical and applied mathematics.

Location:
Part I: Thursday, January 10, 1pm-4:20pm, Room 16B, Mezzanine Level, SDCC
Short Talks: Friday, January 11, 8:15am-10:55am, Room 19, Mezzanine Level, SDCC
Part II: Friday, January 11, 1pm-6:20pm, Room 16B, Mezzanine Level, SDCC

Schedule of talks: The schedule can be found here.


Mon Jan 14 - Fri Jan 25: FEEC + AFEM @ UCSD


Organizers:
      Andrew Gillette, University of California, San Diego, USA
      Michael Holst, University of California, San Diego, USA
      Ryan Szypowski, Cal Poly Pomona, USA

Title: Workshop on Geometric Numerical Methods for PDE: FEEC + AFEM

Abstract:
The goal of this extended workshop at UCSD is to bring a variety of researchers together to discuss topics raised during the JMM Minisymposium in greater depth and to begin work on key open problems in the field. We will tackle such issues as the convergence of adaptive finite element methods, methods for semi-linear problems, a posteriori error estimators, projection operators, and the comparison of serendipity and virtual element methods, often under the large umbrella afforded by FEEC. Most days will begin with a short, informal seminar in the morning, followed by discussions and focused work in the afternoons.

Location: All talks during the two weeks of the mini-workshop will be held on the UCSD campus in the AP&M building, with rooms as posted on the schedule.

Schedule of talks: The schedule can be found here.