The Continuation Algorithm with Galerkin Finite Element Method for Rotating Bose-Einstein Condensates

The Continuation Algorithm with Galerkin Finite Element Method for Rotating Bose-Einstein Condensates

碩士 === 國立中興大學 === 應用數學系所 === 99 === In this thesis, we study a continuation algorithm to trace the solution of two dimensional coupled nonlinear Schr‥odinger equations (CNLSE) that governs rotating Bose-Einstein condensates (BEC) around z-axis. We discretize CNLSE by Galerkin finite element method a...

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Main Authors: Yu-Chen Lin, 林祐蓁
Other Authors: 施因澤
Format: Others
Language:en_US
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/52519183912050374027
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spelling ndltd-TW-099NCHU55070012016-04-11T04:22:59Z http://ndltd.ncl.edu.tw/handle/52519183912050374027 The Continuation Algorithm with Galerkin Finite Element Method for Rotating Bose-Einstein Condensates 用延續法與 Galerkin 有限單元法解旋轉-玻色愛因斯坦凝聚 Yu-Chen Lin 林祐蓁 碩士 國立中興大學 應用數學系所 99 In this thesis, we study a continuation algorithm to trace the solution of two dimensional coupled nonlinear Schr‥odinger equations (CNLSE) that governs rotating Bose-Einstein condensates (BEC) around z-axis. We discretize CNLSE by Galerkin finite element method and prove the existence of the finite element method solution. The numerical tests depict the robust of the continuation algorithm for tracing the solution of the CNLSE. The numerical superfluid densities appear similarly as in [18], and this algorithm is quite practicable for describing the votex lattices in fast rotating BEC. 施因澤 2011 學位論文 ; thesis 29 en_US
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description 碩士 === 國立中興大學 === 應用數學系所 === 99 === In this thesis, we study a continuation algorithm to trace the solution of two dimensional coupled nonlinear Schr‥odinger equations (CNLSE) that governs rotating Bose-Einstein condensates (BEC) around z-axis. We discretize CNLSE by Galerkin finite element method and prove the existence of the finite element method solution. The numerical tests depict the robust of the continuation algorithm for tracing the solution of the CNLSE. The numerical superfluid densities appear similarly as in [18], and this algorithm is quite practicable for describing the votex lattices in fast rotating BEC.
author2 施因澤
author_facet 施因澤
Yu-Chen Lin
林祐蓁
author Yu-Chen Lin
林祐蓁
spellingShingle Yu-Chen Lin
林祐蓁
The Continuation Algorithm with Galerkin Finite Element Method for Rotating Bose-Einstein Condensates
author_sort Yu-Chen Lin
title The Continuation Algorithm with Galerkin Finite Element Method for Rotating Bose-Einstein Condensates
title_short The Continuation Algorithm with Galerkin Finite Element Method for Rotating Bose-Einstein Condensates
title_full The Continuation Algorithm with Galerkin Finite Element Method for Rotating Bose-Einstein Condensates
title_fullStr The Continuation Algorithm with Galerkin Finite Element Method for Rotating Bose-Einstein Condensates
title_full_unstemmed The Continuation Algorithm with Galerkin Finite Element Method for Rotating Bose-Einstein Condensates
title_sort continuation algorithm with galerkin finite element method for rotating bose-einstein condensates
publishDate 2011
url http://ndltd.ncl.edu.tw/handle/52519183912050374027
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