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JSCIC
2011
46views more  JSCIC 2011»
12 years 7 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»
12 years 11 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»
12 years 11 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»
12 years 11 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»
12 years 11 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