About theoretical and practical impact of mesh adaptation on approximation of functions and PDE solutions

International Journal for Numerical Methods in Fluids

Volumn 43, Issue 5, 2003, Pages 507-516

  Dervieux, Alain ^a   Leservoisier, David ^a,b   George, Paul Louis ^c   Coudière, Yves ^a  

^a INRIA   (France)

^b SNECMA   (France)

^c INRIA   (France)

Author keywords

Fluid mechanics; Interpolation; Mesh adaptation

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR EQUATIONS;

ADAPTIVE SOLUTIONS;

FLUID MECHANICS;

COMPUTATIONAL FLUID DYNAMICS; DIFFERENTIAL EQUATION; ERROR; FLUID MECHANICS; MATHEMATICAL MODELING;

EID: 0242338416     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

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7. Leservoisier D, George P-L, Dervieux A. Métrique continue et optimisation de maillage. INRIA Research Report, RR-4172, 2001.
8. Courty F, Dervieux A. Continuous metrics for PDE. INRIA Research Report, in preparation.
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10. Leservoisier D, George P-L, Penanhoat O, Dervieux A. Application of mesh-adaptive techniques to mesh convergence in complex CFD Second international symposium on Finite Volumes, for Complex Applications, Problems and Perspectives, université de Duisbourg, July 1999. In Finite Volumes for Complex Applications, Vilsmeier R, Benkhaldoun F, Haenel D (eds). Hermes Science Publications: Paris, 1999; 817-824.
11. Schall E, Leservoisier D, Dervieux A, Koobus B. Mesh adaptation as a tool for certified computational aerodynamics. submitted for publication.
12. Coudière Y, Palmerio B, Dervieux A, Leservoisier D. Accuracy barriers in mesh adaptation. INRIA Research Report, RR-4528, 2002.