Searched for: author:"Diaz Cortes, G.B."
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document
Diaz Cortes, G.B. (author)
Simulation of flow through highly heterogeneous porous media results in large ill-conditioned systems of equations. In particular, solving the linearized pressure system can be especially time-consuming. Therefore, extensive efforts to find ways to address this issue effectively are required. In this work, we introduce a POD-based deflation...
doctoral thesis 2019
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Diaz Cortes, G.B. (author), Vuik, C. (author), Jansen, J.D. (author)
We study fast and robust iterative solvers for large systems of linear equations resulting from simulation of flow trough strongly heterogeneous porous media. We propose the use of preconditioning and deflation techniques, based on information obtained frfrom the system, to reduce the time spent in the solution of the linear system.An important...
journal article 2018
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Diaz Cortes, G.B. (author), Jansen, J.D. (author), Vuik, C. (author)
We explore and develop POD-based deflation methods to accelerate the solution of large-scale linear systems resulting from two-phase flow simulation. The techniques here presented collect information from the system in a POD basis, which is later used in a deflation scheme. The snapshots required to obtain the POD basis are captured in two ways:...
conference paper 2018
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Diaz Cortes, G.B. (author), Vuik, C. (author), Jansen, J.D. (author)

report 2016
document
Diaz Cortes, G.B. (author), Vuik, C. (author), Jansen, J.D. (author)
We consider deflation-based pre-conditioning of the pressure equation for large-scale reservoir models with strong spatial variations in the permeabilities. The use of deflation techniques involves the search for good deflation vectors, which usually are problem-dependent. We propose the use of proper orthogonal decomposition (POD) to generate...
conference paper 2016
Searched for: author:"Diaz Cortes, G.B."
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