A mixed formulation and exact controllability approach for the computation of the periodic solutions of the scalar wave equation. (I): Controllability problem formulation and related iterative solution-Reference-Cited by-同舟云学术

A mixed formulation and exact controllability approach for the computation of the periodic solutions of the scalar wave equation. (I): Controllability problem formulation and related iterative solution

Published:2006-10 Issue:7 Volume:343 Page:493-498
ISSN:1631-073X
Container-title:Comptes Rendus Mathematique
language:en
Short-container-title:Comptes Rendus Mathematique

Author:

Glowinski Roland,Rossi Tuomo

Publisher

Elsevier BV

Subject

General Mathematics

Reference10 articles.

1. Variational algorithms for the Helmholtz equation using time evolution and artificial boundaries;Bardos;Asymptotic Analysis,1994

2. Mixed and Hybrid Finite Element Methods;Brezzi,1991

3. Using exact controllability to solve the Helmholtz equation at high wave numbers;Bristeau,1993

4. Controllability methods for the computation of time-periodic solutions; application to scattering;Bristeau;Journal of Computational Physics,1998

5. Finite element methods for incompressible viscous flow;Glowinski,2003

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