Parallel Multilevel Smoothed Aggregation Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problem
碩士 === 國立中央大學 === 數學系 === 104 === The use of multi-grid (Multigrid method) extending algorithm as preconditioner parallel Newton-Krylov-Schwarz algorithms to reduce the number of iterations and calculation time determined to accelerate the solution of nonlinear equations large relaxation. The group,...
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ndltd-TW-104NCU054790162019-10-24T05:19:27Z http://ndltd.ncl.edu.tw/handle/s7re35 Parallel Multilevel Smoothed Aggregation Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problem Jun-Yi Xiao 蕭鈞懌 碩士 國立中央大學 數學系 104 The use of multi-grid (Multigrid method) extending algorithm as preconditioner parallel Newton-Krylov-Schwarz algorithms to reduce the number of iterations and calculation time determined to accelerate the solution of nonlinear equations large relaxation. The group, this nonlinear system is mediated by the finite element method, as in the three-dimensional discrete Poisson-Boltzmann equation; in glial scientific applications, do the three-dimensional numerical simulation of charged colloidal particles in the electrolyte, and to further explore symmetric and asymmetric electrolyte solution for electric field and the potential energy of the impact. Poisson-Boltzmann equation for the description of charged colloidal particles in the electrolyte, the potential energy distribution formula. And conduct research on parallel performance, optimization iterations, and time, and compare the effectiveness of different aggregation methods. Feng-Nan Hwang 黃楓南 2016 學位論文 ; thesis 57 en_US |
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碩士 === 國立中央大學 === 數學系 === 104 === The use of multi-grid (Multigrid method) extending algorithm as preconditioner parallel Newton-Krylov-Schwarz algorithms to reduce the number of iterations and calculation time determined to accelerate the solution of nonlinear equations large relaxation. The group, this nonlinear system is mediated by the finite element method, as in the
three-dimensional discrete Poisson-Boltzmann equation; in glial scientific applications, do the three-dimensional numerical simulation of charged colloidal particles in the electrolyte, and to further explore symmetric and asymmetric electrolyte solution for electric field and the potential energy of the impact. Poisson-Boltzmann equation for the description of charged colloidal particles in the electrolyte, the potential energy distribution formula. And conduct research on parallel performance, optimization iterations, and time, and compare the effectiveness of different aggregation methods.
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author2 |
Feng-Nan Hwang |
author_facet |
Feng-Nan Hwang Jun-Yi Xiao 蕭鈞懌 |
author |
Jun-Yi Xiao 蕭鈞懌 |
spellingShingle |
Jun-Yi Xiao 蕭鈞懌 Parallel Multilevel Smoothed Aggregation Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problem |
author_sort |
Jun-Yi Xiao |
title |
Parallel Multilevel Smoothed Aggregation Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problem |
title_short |
Parallel Multilevel Smoothed Aggregation Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problem |
title_full |
Parallel Multilevel Smoothed Aggregation Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problem |
title_fullStr |
Parallel Multilevel Smoothed Aggregation Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problem |
title_full_unstemmed |
Parallel Multilevel Smoothed Aggregation Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problem |
title_sort |
parallel multilevel smoothed aggregation schwarz preconditioned newton-krylov algorithms for poisson-boltzmann problem |
publishDate |
2016 |
url |
http://ndltd.ncl.edu.tw/handle/s7re35 |
work_keys_str_mv |
AT junyixiao parallelmultilevelsmoothedaggregationschwarzpreconditionednewtonkrylovalgorithmsforpoissonboltzmannproblem AT xiāojūnyì parallelmultilevelsmoothedaggregationschwarzpreconditionednewtonkrylovalgorithmsforpoissonboltzmannproblem |
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1719276744523907072 |