 | Seminario Matematico e Fisico di Milano |
| Leszek Demkowicz
Oden Institute, The University of Texas at Austin
The DPG Method for Convection-Reaction Problems
Lunedì 10 Maggio 2021, ore 17:00
https://us02web.zoom.us/j/81021076857 |
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Abstract
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We present a progress report on the development of Discontinuous Petrov-Galerkin methods for the convection-reaction problem in context of time-stepping and space-time discretizations of Boltzmann equations [1].
The work includes a complete analysis for both conforming (DPGc) and non-nonconforming (DPGd) versions of the DPG method employing either globally continuous or discontinuous piece-wise polynomials to discretize the traces.
The results include construction of a local Fortin operator for the case of constant convection and a global discrete stability analysis for both DPGc and DPGd methods.
The theoretical findings are illustrated with numerous numerical experiments in two space dimensions.
This is a joint work with Nathan Roberts from Sandia National Laboratories.
Slides (PDF)
[1] L. Demkowicz, N. Roberts, "The DPG Method for the Convection–Reaction Problem Revisited", submitted.
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