Saturday, September 23, 2017
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Seminar - "Brief introduction to Discrete Exterior Calculus", by Dr. Rafael Herrera Guzmán

Wednesday, July 5th, 2017. Time: 12h.

Place: O.C. Zienkiewicz Conference Room, C1 Building, UPC Campus Nord, Barcelona.

ABSTRACT

Discrete Exterior Calculus is a recent method to discretize partial differential equations using concepts from Differential Geometry and Topology, which allow rewriting equations in an intrinsic manner.

The main steps in such an approach are as follows:

  1. Write out the PDE in terms of smooth differential operators.
  2. Replace the smooth domain, variables, and operators by their DEC counterparts.
  3. Use DEC-based analysis to set up an appropriate linear system of equations.

The resulting linear system can then be solved by existing numerical methods to approximate solutions to the PDE.

SPEAKER CV

Dr. Rafael Herrera Guzmán obtained his Degree in Mathematics at the UNAM in 1993 with the medal “Gabino Barreda”. He is PhD in Mathematics by the Oxford University, England, in 1998. He is a researcher at CIMAT from 2005 and member of the SNI Level II within the Physics, Mathematics and Earth Sciences Area.

Previously, Dr. Herrera has worked at Yale University, University of California at Riverside, Princeton University and City University of New York. He has been awarded with the “Guggenheim Fellowship” (2002-2003) and a “Research Fellowship” by the Japan Society for the Promotion of Science (2005-2006).