[Faculty] Fwd: [CSRC-SDSU COLLOQUIUM]: Exploiting Approximation Properties in the discontinuous Galerkin scheme for improved trouble cell indication

[Jose Castillo]

*DATE*:  Friday, February 19th, 2016

*TITLE*:  Exploiting Approximation Properties in the discontinuous Galerkin
scheme for improved trouble cell indication

*TIME*:  3:30 PM

*LOCATION*:  GMCS 214

*SPEAKER*:  Dr. Jennifer Ryan

*ABSTRACT*: In this talk, we present a generalized discussion of
discontinuous Galerkin methods concentrating on a basic concept:
exploiting the existing approximation properties.  The discontinuous
Galerkin method uses a piecewise polynomial approximation to the
variational form of a PDE.  It uses polynomials up to degree k for a k+1
order accurate scheme.   Using this formulation, we concentrate on
nonlinear hyperbolic equations and specifically discuss how to obtain
better discontinuity detection during time integration by rewriting the
approximation using a multi-wavelet decomposition.  We demonstrate that
this multi-wavelet expansion allows for more accurate detection of
discontinuity locations.  One advantage of using the multi-wavelet
expansion is that it allows us to specifically relate the jumps in the DG
solution and its derivatives to the multi-wavelet coefficients.  This is
joint work with Thea Vuik, TU Delft.

*HOST*:  Dr. Gustaaf Jacobs

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Jose E. Castillo  Ph.D.

Director / Professor

Computational Science Research Center

5500 Campanile Dr

San Diego State University

San Diego CA 92182-1245

619 5947205/3430, Fax 619-594-2459

 http://www.csrc.sdsu.edu/mimetic-book/
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