An efficient reduced-order modeling approach for nonlinear parametrized partial differential equations

  title={An efficient reduced-order modeling approach for nonlinear parametrized partial differential equations},
  author={Ngoc Cuong Nguyen and Jaime Peraire},
For general non-linear parametrized partial differential equations (PDEs), the standard Galerkin projection is no longer efficient to generate reduced-order models. This is because the evaluation of the integrals involving the non-linear terms has a high computational complexity and cannot be pre-computed. This situation also occurs for linear equations when the parametric dependence is nonaffine. In this paper, we propose an efficient approach to generate reduced-order models for large-scale… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 47 references

Application to efficient reduced-basis discretization of partial differential equations, C

M. Barrault, Y. Maday, N. C. Nguyen, A. T. Patera, An “empirical interpolation” method
R. Acad. Sci. Paris, Série I 339 • 2004
View 9 Excerpts
Highly Influenced

Control of burgers’ equation by a reduced order approach using proper orthogonal decomposition

K. Kunisch, S. Volkwein
Journal on Optimization Theory and Applications • 1999
View 4 Excerpts
Highly Influenced

Reduced-order modeling of time-dependent pdes with multiple parameters in the boundary data, Comput

M. Gunzburger, J. Peterson, J. Shadid
Methods Appl. Mech. Engrg • 2007
View 1 Excerpt

Reduced-basis approximations for time-dependent partial differential equations: Application to optimal control, Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA (May 2005)

M. Grepl
Copyright c © 2006 John Wiley & Sons, Ltd. Int. J. Numer. Meth. Engng • 2006
View 1 Excerpt

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