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» Numerical decomposition of symmetric linear systems
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SIAMSC
2008
116views more  SIAMSC 2008»
14 years 11 months ago
A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...
Mohammed Lemou, Luc Mieussens
AUTOMATICA
2011
14 years 6 months ago
Sequential linear quadratic control of bilinear parabolic PDEs based on POD model reduction
We present a framework to solve a finite-time optimal control problem for parabolic partial differential equations (PDEs) with diffusivity-interior actuators, which is motivate...
Chao Xu, Yongsheng Ou, Eugenio Schuster
90
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SIAMSC
2010
198views more  SIAMSC 2010»
14 years 10 months ago
Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems
In this paper, we describe block matrix algorithms for the iterative solution of large scale linear-quadratic optimal control problems arising from the optimal control of parabolic...
Tarek P. Mathew, Marcus Sarkis, Christian E. Schae...
SIAMSC
2010
129views more  SIAMSC 2010»
14 years 10 months ago
A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation
In this paper we extend the micro-macro decomposition based asymptotic-preserving scheme developed in [3] for the single species Boltzmann equation to the multispecies problems. A...
Shi Jin, Yingzhe Shi
66
Voted
MOC
2002
93views more  MOC 2002»
14 years 11 months ago
Conjugate gradient method for dual-dual mixed formulations
We deal with the iterative solution of linear systems arising from so-called dual-dual mixed finite element formulations. The linear systems are of a two-fold saddle point structur...
Gabriel N. Gatica, Norbert Heuer