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MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 2, 页码: A1091-A1120
作者:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
收藏  |  浏览/下载:161/0  |  提交时间:2020/01/10
Maxwell-Schrodinger system  homogenization method  multiscale asymptotic expansion  finite element method  
AN ADDITIVE OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 2, 页码: A1252-A1277
作者:  Leng, Wei;  Ju, Lili
收藏  |  浏览/下载:160/0  |  提交时间:2020/01/10
additive domain decomposition method  Helmholtz equation  perfectly matched layer  truncated domain problem  error analysis  parallel computing  
WEIGHTED APPROXIMATE FEKETE POINTS: SAMPLING FOR LEAST-SQUARES POLYNOMIAL APPROXIMATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 1, 页码: A366-A387
作者:  Guo, Ling;  Narayan, Akil;  Yan, Liang;  Zhou, Tao
收藏  |  浏览/下载:146/0  |  提交时间:2018/07/30
uncertainty quantification  least-squares approximations  Fekete points  QR decomposition  
A GENERALIZED SAMPLING AND PRECONDITIONING SCHEME FOR SPARSE APPROXIMATION OF POLYNOMIAL CHAOS EXPANSIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 3, 页码: A1114-A1144
作者:  Jakeman, John D.;  Narayan, Akil;  Zhou, Tao
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
uncertainty quantification  polynomial chaos  compressed sensing  
LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 6, 页码: A2592-A2615
作者:  Tang, Shibing;  Xu, Xuejun
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
biharmonic problem  Schwarz framework  Bogner-Fox-Schmit element  Adini element  local multilevel method  
DYNAMIC EVALUATION OF FREE-FORM CURVES AND SURFACES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 2, 页码: B424-B441
作者:  Yang, Xunnian;  Hong, Jialin
收藏  |  浏览/下载:136/0  |  提交时间:2018/07/30
free-form curves and surfaces  linear differential systems  evaluation  dynamic generation  
NOVEL MULTILEVEL PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 4, 页码: A1675-A1709
作者:  Hu, Qiya;  Li, Xuan
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
Helmholtz equation  large wave numbers  plane wave methods  multilevel overlapping domain decomposition  multilevel overlapping preconditioner  smoothers  
A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 卷号: 38, 期号: 2, 页码: A856-A874
作者:  Lu, Peipei;  Xu, Xuejun
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
multilevel method  time-harmonic Maxwell equation  high wave number  continuous interior penalty finite element method  GMRES method  local Fourier analysis  
A MULTILEVEL CORRECTION METHOD FOR OPTIMAL CONTROLS OF ELLIPTIC EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 卷号: 37, 期号: 5, 页码: A2198-A2221
作者:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
optimal control problems  elliptic equation  control constraints  finite element method  multilevel correction method  
SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 5, 页码: 2664-2684
作者:  Huang, Qiumei;  Xie, Hehu;  Brunner, Hermann
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
pantograph delay differential equation  vanishing proportional delay  discontinuous Galerkin method  interpolation and iteration postprocessing  superconvergence