Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Paul Tsuji"'
Publikováno v:
International Journal for Numerical Methods in Engineering. 120:1297-1309
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783030307042
This study explores the use of a Krylov iterative method (GMRES) as a smoother for an algebraic multigrid (AMG) preconditioned Newton–Krylov iterative solution approach for a fully-implicit variational multiscale (VMS) finite element (FE) resistive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b852e4b23373fa3d1ac765f08aad0465
https://doi.org/10.1007/978-3-030-30705-9_24
https://doi.org/10.1007/978-3-030-30705-9_24
Autor:
Paul Tsuji, Raymond S. Tuminaro
Publikováno v:
Numerical Linear Algebra with Applications. 22:1077-1101
Summary Discrete representations of the Helmholtz operator generally give rise to extremely difficult linear systems from an iterative solver perspective. This is due in part to the large oscillatory near null space of the linear system. Typical iter
Autor:
Charles Noble, Andrew Anderson, Nathan Barton, Jamie Bramwell, Arlie Capps, Michael Chang, Jin Chou, David Dawson, Emily Diana, Timothy Dunn, Douglas Faux, Aaron Fisher, Patrick Greene, Ines Heinz, Yuliya Kanarska, Saad Khairallah, Benjamin Liu, Jon Margraf, Albert Nichols, Robert Nourgaliev, Michael Puso, James Reus, Peter Robinson, Alek Shestakov, Jerome Solberg, Daniel Taller, Paul Tsuji, Christopher White, Jeremy White
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91db60c2dd5b39593a623b43a18170fe
https://doi.org/10.2172/1361589
https://doi.org/10.2172/1361589
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 48:433-447
We present a parallel preconditioning method for the iterative solution of the time-harmonic elastic wave equation which makes use of higher-order spectral elements to reduce pollution error. In particular, the method leverages perfectly matched laye
Publikováno v:
Journal of Computational Physics. 231:3770-3783
This paper is concerned with preconditioning the stiffness matrix resulting from finite element discretizations of Maxwell's equations in the high frequency regime. The moving PML sweeping preconditioner, first introduced for the Helmholtz equation o
Autor:
Paul Tsuji, Lexing Ying
Publikováno v:
Frontiers of Mathematics in China. 7:347-363
This paper is concerned with the fast iterative solution of linear systems arising from finite difference discretizations in electromagnetics. The sweeping preconditioner with moving perfectly matched layers previously developed for the Helmholtz equ
Publikováno v:
Journal of Computational Physics. 230:7488-7501
A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on the constructed SKIE. Its performance is illustrated
Publikováno v:
International Journal for Uncertainty Quantification. 1:99-117
This paper is concerned with the uncertainty quantification of high-frequency acoustic scattering from objects with random shape in two-dimensional space. Several new methods are introduced to efficiently estimate the mean and variance of the random