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JSCIC
2011
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13 years 3 months ago
On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations
This note aims at demonstrating the advantage of moving-water well-balanced schemes over still-water well-balanced schemes for the shallow water equations. We concentrate on numer...
Yulong Xing, Chi-Wang Shu, Sebastian Noelle
JSCIC
2011
65views more  JSCIC 2011»
13 years 7 months ago
A New Class of High-Order Energy Stable Flux Reconstruction Schemes
Abstract The flux reconstruction approach to high-order methods is robust, efficient, simple to implement, and allows various high-order schemes, such as the nodal discontinuous ...
Peter E. Vincent, Patrice Castonguay, Antony James...
JSCIC
2011
76views more  JSCIC 2011»
13 years 7 months ago
Two-Level Additive Schwarz Preconditioners for a Weakly Over-Penalized Symmetric Interior Penalty Method
We propose and analyze several two-level additive Schwarz preconditioners for a weakly over-penalized symmetric interior penalty method for second order elliptic boundary value pro...
A. T. Barker, Susanne C. Brenner, E.-H. Park, Li-Y...
JSCIC
2011
59views more  JSCIC 2011»
13 years 7 months ago
Scalability of an Unstructured Grid Continuous Galerkin Based Hurricane Storm Surge Model
S. Tanaka, Shintaro Bunya, Joannes J. Westerink, C...
JSCIC
2011
113views more  JSCIC 2011»
13 years 7 months ago
An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation
In this paper, we study a time discrete scheme for the initial value problem of the ES-BGK kinetic equation. Numerically solving these equations are challenging due to the nonlinea...
Francis Filbet, Shi Jin