A Reduced-Basis Element Method

Journal of Scientific Computing

Volumn 17, Issue 1-4, 2002, Pages 447-459

  Maday, Yvon ^a   Rønquist, Einar M ^b  

^a SORBONNE UNIVERSITÉ   (France)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Geometric snapshot; Nonconforming; Partial differential equation; Reduced basis; Spectral element

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); HIERARCHICAL SYSTEMS; LAGRANGE MULTIPLIERS; PARTIAL DIFFERENTIAL EQUATIONS;

REDUCED-BASIS ELEMENT METHODS;

NATURAL SCIENCES COMPUTING;

EID: 0038244441     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1015197908587     Document Type: Conference Paper

References (6)

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3. Christensen, E. A., Brøns, M., and Sørensen, J. N. (2000). Evaluation of proper orthogonal decomposition-based techniques applied to parameter-dependent nonturbulent flows. SIAM J. Sci. Comput. 21(4), 1419-1434.
4. Machiels, L., Maday, Y., Oliveira, Y., Patera, A. T., and Rovas, D. V. (2000). Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems. C. R. Acad. Sci. Paris, Série I 331(2), 153-158.
5. Noor, A. K., and Peters, J. M. (1980). Reduced basis technique for nonlinear analysis of structures. AIAA J. 18(4), 455-462.
6. Prud'homme, C., Rovas, D. V., Veroy, K., Machiels, L., Maday, Y., Patera, A. T., and Turinici, G. Reliable real-time solution of parametrized partial differential equations: Reduced-basis output bound methods. J. Fluids Engineering, to appear.