Limiters for high-order discontinuous Galerkin methods

By Lilia Krivodonova. Journal of Computational Physics, 2007

350 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c9867b7eda56800ab6560b30038a964612a47173

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Antonio Huerta
2. Michael Yang
3. Zhijian Wang
4. Jaime Peraire
5. Dmitri Kuzmin
6. E. Casoni
7. Hung T. Huynh
8. Haiyang Gao

In Numerical Analysis

1. Antonio Huerta
2. Michael Yang
3. Dmitri Kuzmin
4. E. Casoni
5. Jaime Peraire
6. Zhijian Wang
7. Charbel Farhat
8. S. Hysing

Citations in the corpus

• A simple shock‐capturing technique for high‐order discontinuous Galerkin methods (2012, background): “It only depends on a physical quantity, the Mach number appears to be a reliable sensing variable compared with other physical quantities like the entropy or density, as suggested in [12,30].”
• A Parameter-Free Generalized Moment Limiter for High- Order Methods on Unstructured Grids (2009, methodology): “(a) sine wave, 20 cells; (b) discontinuous profile [18], 200 cells; (c) close-up view for the Gaussian peak (the first from the left).”
• Slope limiting for discontinuous Galerkin approximations with a possibly non‐orthogonal Taylor basis (2013, methodology): “The quality of the slope limiting procedure is particularly important in the case of a high-order DG method [13].”