Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes

High-order finite volume WENO schemes for the shallow water equations with dry states

(2011) Yulong Xing et al.   ADVANCES IN WATER RESOURCES

Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds

(2011) Andreas Bollermann et al.   Communications in Computational Physics

Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes

(2011) Xiangxiong Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments

(2011) X. Zhang et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

(2010) Yulong Xing et al.   ADVANCES IN WATER RESOURCES

Well-balanced RKDG2 solutions to the shallow water equations over irregular domains with wetting and drying

(2010) Georges Kesserwani et al.   COMPUTERS & FLUIDS

Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

(2010) Steve Bryson et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

On maximum-principle-satisfying high order schemes for scalar conservation laws

(2010) Xiangxiong Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A wetting and drying treatment for the Runge–Kutta discontinuous Galerkin solution to the shallow water equations

(2009) Shintaro Bunya et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes

(2008) Christophe Berthon et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying

(2007) A. Ern et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations

(2007) S. Rhebergen et al.   JOURNAL OF COMPUTATIONAL PHYSICS