Toward the ultimate conservative scheme: following the quest

By Rémi Abgrall. 2001

178 citations recorded by the source corpus.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/a13923eb016f49277a2257fd11b5c10ee42046be

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In Computational Mechanics

1. M. Mezine
2. Rémi Abgrall
3. Richard Saurel
4. Eric Johnsen
5. Tim Colonius

Citations in the corpus

• Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems (2003, methodology): “22) what is really important is not this particular set of variables, but the fact, as shown in [2], that the interpolation of the variables or the flux is second order accurate.”
• Residual distribution schemes: Current status and future trends (2006, background): “In [14] for steady problems and in [18] for second order schemes, it is shown that, provided the exact solution of (1) is smooth, the scheme is formally second order in time and space provided that for all triangle T and any vertex, we have Ui 1⁄4 Oðh (3);Dt(2)Þ; where h is the maximum radius of the”