Maximum-principle-satisfying and positivity-preserving high order discontinuous galerkin schemes for conservation laws on triangular meshes

Journal of Scientific Computing

Volumn 50, Issue 1, 2012, Pages 29-62

  Zhang, Xiangxiong ^a   Xia, Yinhua ^b   Shu, Chi Wang ^a  

^a BROWN UNIVERSITY   (United States)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Compressible Euler equations; Discontinuous Galerkin method; Essentially non oscillatory scheme; Finite volume scheme; High order accuracy; Hyperbolic conservation laws; Incompressible flow; Maximum principle; Passive convection equation; Positivity preserving; Strong stability preserving time discretization; Triangular meshes; Weighted essentially non oscillatory scheme

Indexed keywords

DISCONTINUOUS GALERKIN METHODS; ESSENTIALLY NON-OSCILLATORY; FINITE VOLUME SCHEMES; HIGH-ORDER ACCURACY; HYPERBOLIC CONSERVATION LAWS; PASSIVE CONVECTION EQUATION; POSITIVITY PRESERVING; STRONG STABILITY PRESERVING; TRIANGULAR MESHES; WEIGHTED ESSENTIALLY NONOSCILLATORY SCHEME;

EULER EQUATIONS; GEOMETRY; INCOMPRESSIBLE FLOW; MAXIMUM PRINCIPLE; MESH GENERATION; NUMERICAL METHODS; PHYSICAL PROPERTIES; RUNGE KUTTA METHODS; TWO DIMENSIONAL; VELOCITY;

GALERKIN METHODS;

EID: 84855676516     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-011-9472-8     Document Type: Article

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