TITLE:

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

DATE:

Friday, February 19th, 2016

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

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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