Multilevel method to compute the lambda modes of the neutron diffusion equation

DOI10.21042/AMNS.2017.1.00019zbMath1376.65047MaRDI QIDQ4597698

A. Vidal-Ferràndiz, A. Arranz Carreño, Gumersindo Verdú, Damián Ginestar

Publication date: 14 December 2017

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

zbMATH Keywords

finite element methodgeneralized eigenvalue problemmultilevel methodlambda modesmodified block Newton method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Uses Software

• SLEPc
• deal.ii

Cites Work

• Unnamed Item
• Moving meshes to solve the time-dependent neutron diffusion equation in hexagonal geometry
• Continuous pseudospectral methods for the neutron diffusion equation in 1D geometries
• A modified block Newton iteration for approximating an invariant subspace of a symmetric matrix
• A Krylov--Schur Algorithm for Large Eigenproblems
• Rayleigh Quotient Based Optimization Methods for Eigenvalue Problems
• SLEPc
• deal.II—A general-purpose object-oriented finite element library
• Multilevel methods to solve the neutron diffusion equation

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