A reduced basis method applied to the Restricted Hartree-Fock equations

Comptes Rendus Mathematique

Volumn 346, Issue 3-4, 2008, Pages 243-248

  Maday, Yvon ^a,b   Razafison, Ulrich ^a  

^a SORBONNE UNIVERSITÉ   (France)

^b BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 39049113761     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2007.11.015     Document Type: Article

References (12)

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5. Cancès E., Le Bris C., Maday Y., Nguyen N.C., Patera A.T., and Pau G.S.H. Feasibility and competitiveness of a reduced-basis approach for rapid electronic structure calculations in quantum chemistry. High-dimensional Partial Differential Equations in Science and Engineering. CRM Proceedings Series vol. 41 (2007), American Mathematical Society 15-47
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8. G.S.H. Pau, Reduced-basis method for quantum models of periodic solids, Ph.D. Thesis, Massachusetts Institute of Technology, 2007
9. Pinkus A. n-Widths in Approximation Theory (1985), Springer-Verlag
10. Prud'homme C., Rovas D., Veroy K., Maday Y., Patera A.T., and Turinici G. Reliable real-time solution of parametrized partial differential equations: Reduced basis output bound methods. J. Fluids Engrg. 124 1 (2002) 70-80
11. Rønquist E.M., Løvgren A.E., and Maday Y. A reduced basis element method for the steady Stokes problem. M2AN Math. Model. Numer. Anal. 40 3 (2006) 529-552.h
12. Veroy K., and Patera A.T. Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigourous reduced basis a posteriori error-bounds. Internat. J. Numer. Methods Fluids 47 8-9 (2005) 773-788