Reduced basis approximation for parametrized partial differential equations

In this chapter we describe the basic ideas of reduced basis (RB) approximation methods for rapid and reliable evaluation of input-output relationships in which the output is expressed as a functional of a field variable that is the solution of an input-parametrized partial differential equation (PDE). We shall focus on linear output functionals and affinely parametrized linear elliptic coercive PDEs.


Editor(s):
Zuazua, E.
Le Bris, C.
Patera, A.T
Quarteroni, A.
Hou, T.
Published in:
Numerical Models for Differential Equations, Chapter 18, 556-587
Year:
2009
Publisher:
Heildelberg, Springer
Keywords:
Note:
EPFL-IACS report 04.2009
Laboratories:




 Record created 2009-05-05, last modified 2018-03-17


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