The DPG Method for the Convection-Reaction Problem Revisited
- Univ. of Texas, Austin, TX (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
We study both conforming and non-conforming versions of the practical DPG method for the convection-reaction problem. We determine that the most common approach for DPG stability analysis (construction of a local Fortin operator) is infeasible for the convection-reaction problem. We then develop a line of argument based on the direct construction of a global Fortin operator; we find that employing a polynomial enrichment for the test space does not suffice for this purpose, motivating the introduction of a (two-element) subgrid mesh. The argument combines mathematical analysis with numerical experiments
- Research Organization:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Univ. of Texas, Austin, TX (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- DOE Contract Number:
- AC04-94AL85000; NA0003525
- OSTI ID:
- 1772894
- Report Number(s):
- SAND-2021-3435R; 694968
- Country of Publication:
- United States
- Language:
- English
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