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A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
作者:  Ma, Chuwen;  Zheng, Weiying
收藏  |  浏览/下载：101/0  |  提交时间：2023/02/07
Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2203-2224
作者:  Ma, Chuwen;  Zhang, Qinghai;  Zheng, Weiying
收藏  |  浏览/下载：124/0  |  提交时间：2023/02/07
   unfitted characteristic finite element methods  time-varying domains  moving boundary problems  the advection-diffusion equation  fourth-order error estimates  
Trapezoidal Rule for Computing Supersingular Integral on a Circle 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 66, 期号: 2, 页码: 740-760
作者:  Li, Jin;  Rui, Hongxing;  Yu, Dehao
收藏  |  浏览/下载：146/0  |  提交时间：2018/07/30
Supersingular integral  Composite trapezoidal rule  Error expansion  Superconvergence  Boundary element methods  
LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2012, 卷号: 30, 期号: 3, 页码: 223-248
作者:  Chen Huangxin;  Xu Xuejun;  Zheng Weiying
收藏  |  浏览/下载：160/0  |  提交时间：2021/01/14
BOUNDARY-VALUE-PROBLEMS  WEIGHTED L2 PROJECTION  FINITE-ELEMENT METHODS  MULTIGRID V-CYCLE  DOMAIN DECOMPOSITION  3 DIMENSIONS  ITERATIVE METHODS  ERROR ESTIMATORS  SCHWARZ METHODS  REFINED MESHES  Local multilevel method  Adaptive finite element method  Preconditioned conjugate gradient method  Discontinuous coefficients  
LOCAL A POSTERIORI ERROR ESTIMATES FOR CONVEX BOUNDARY CONTROL PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 卷号: 47, 期号: 3, 页码: 1886-1908
作者:  Liu, Wenbin;  Yan, Ningning
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
optimal boundary control  adaptive finite element methods  a posteriori error estimates  
Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2007, 卷号: 186, 期号: 1, 页码: 598-609
作者:  Ma, Jingtang
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
partial Volterra integro-differential equations  unbounded spatial domain  artificial boundary conditions  discontinuous Galerkin time-stepping methods  finite element methods  
Global superconvergence for blending surfaces by boundary penalty plus hybrid FEMs 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2001, 卷号: 39, 期号: 1, 页码: 61-85
作者:  Li, ZC;  Yan, NN
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
blending surfaces  biharmonic equation  bi-cubic Hermite element  boundary penalty methods  boundary hybrid techniques  superconvergence  stability  
A posteriori error estimates for some model boundary control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 卷号: 120, 期号: 1-2, 页码: 159-173
作者:  Liu, WB;  Yan, NN
收藏  |  浏览/下载：137/0  |  提交时间：2018/07/30
optimal boundary control  finite element approximation  adaptive finite element methods  a posteriori error analysis  
Stability analysis of finite element methods for the acoustic wave equation with absorbing boundary conditions (part I) 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1999, 卷号: 17, 期号: 3, 页码: 293-306
作者:  Shao, XM;  Lan, XL
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
stability  finite element methods  wave equation  absorbing boundary conditions