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Block Preconditioning Matrices for the Newton Method to Compute the Dominant lambda-Modes Associated with the Neutron Diffusion Equation

Carreño, Amanda; Bergamaschi, Luca; Martinez, Angeles; Vidal-Ferràndiz, Antoni; Ginestar Peiro, Damián; Verdú Martín, Gumersindo Jesús (MDPI AG, 2019-03)

[EN] In nuclear engineering, the lambda-modes associated with the neutron diffusion equation are applied to study the criticality of reactors and to develop modal methods for the transient analysis. The differential ...
Compact quasi-Newton preconditioners for symmetric positive definite linear systems

BERGAMASCHI, LUCA; Marín Mateos-Aparicio, José; MARTINEZ, ANGELES (John Wiley & Sons, 2020-12)

[EN] In this paper, preconditioners for the conjugate gradient method are studied to solve the Newton system with symmetric positive definite Jacobian. In particular, we define a sequence of preconditioners built by means ...
Low-rank update of preconditioners for the nonlinear Richard's equation

Bergamaschi, Luca; Bru García, Rafael; Martínez Calomardo, Ángeles; Mas Marí, José; Putti, Mario (Elsevier, 2013-01-09)

Preconditioners for the Conjugate Gradient method are studied to solve the Newton system with symmetric positive definite (SPD) Jacobian. Following the theoretical work in Bergamaschi et al. (2011) [4] we start from a given ...

Mostrando ítems 1-3 de 3