Hp-discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity

International Journal for Numerical Methods in Fluids

Volumn 40, Issue 1-2, 2002, Pages 153-169

  Houston, Paul ^a   Senior, Bill ^a   Süli, Endre ^b  

^a UNIVERSITY OF LEICESTER   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

A posteriori error analysis; Discontinuous Galerkin; Hp finite element methods; Hyperbolic problems

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; GALERKIN METHODS;

HYPERBOLIC PROBLEMS;

FINITE ELEMENT METHOD;

DIFFERENTIAL EQUATION; FINITE ELEMENT METHOD; FLUID DYNAMICS; MATHEMATICAL MODELING; MODELING ERROR;

EID: 0037056467     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.271     Document Type: Article

References (10)

1. The development of discontinuous Galerkin methods
2. hp-Version discontinuous Galerkin methods for hyperbolic conservation laws
3. A posteriori error analysis for stabilized finite element approximations of transport problems
4. Adaptive finite element methods
5. hp-Adaptive discontinuous Galerkin finite element methods for hyperbolic problems
6. An adaptive refinement strategy for hp-finite element computations
7. Computational methods for singularly perturbed systems
8. Convergence of the discontinous Galerkin finite element method for hyperbolic conservation laws
9. Stabilized hp-finite element methods for first-order hyperbolic problems