Buscar
Mostrando ítems 1-4 de 4
Artículo
Recursive POD expansion for the advection-diffusion-reaction equation
(Global Science Press, 2018-11)
This paper deals with the approximation of advection-diffusion-reaction equation solution by reduced order methods. We use the Recursive POD approximation for multivariate functions introduced in [M. AZAÏEZ, F. BEN BELGACEM, ...
Artículo
Recursive POD expansion for reaction-diffusion equation
(Springer Open, 2016-12)
This paper focuses on the low-dimensional representation of multivariate functions. We study a recursive POD representation, based upon the use of the power iterate algorithm to recursively expand the modes retained in the ...
Artículo
A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems
(Society for Industrial and Applied Mathematics, 2018)
We introduce a new algorithm of proper generalized decomposition (PGD) for parametric symmetric elliptic partial differential equations. For any given dimension, we prove the existence of an optimal subspace of at most ...
Artículo
Error bounds for POD expansions of parameterized transient temperatures
(Elsevier, 2016-06-15)
We focus on the convergence analysis of the POD expansion for the parameterized solutionof transient heat equations. The parameter of interest is the conductivity coefficient. We provethat this expansion converges with ...