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Lederer, P. L., Lehrenfeld, C., & Schöberl, J. (2018). Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows Part II. arXiv. https://doi.org/10.48550/arXiv.1805.06787
E101-03 - Forschungsbereich Scientific Computing and Modelling
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ArXiv ID:
1805.06787
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Date (published):
2018
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Number of Pages:
20
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Preprint Server:
arXiv
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Abstract:
The present work is the second part of a pair of papers, considering Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity. The first part mainly dealt with presenting a robust analysis with respect to the mesh size h and the introduction of a reconstruction operator to restore divergence-conformity and pressure robustness using a non conforming right hand side. The aim of this part is the presentation of a high order polynomial robust analysis for the relaxed H(div)-conforming Hybrid Discontinuous Galerkin discretization of the two dimensional Stokes problem.
