Galerkin least squares hp-finite element method for the Stokes problem

被引：3
|
作者：
Schotzau, D [1 ]
Gerdes, K [1 ]
Schwab, C [1 ]
机构：
[1] ETH Zurich, Seminar Angew Math, CH-8092 Zurich, Switzerland
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 02期
关键词：
D O I：
10.1016/S0764-4442(97)89480-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A stabilized mixed hp-Finite Element Method (FEM) of Galerkin Least Squares type for the Stokes problem in polygonal domains is presented and analyzed. It is proved that for equal order velocity and pressure spaces this method leads to exponential rates of convergence provided that the data is piecewise analytic.
引用
收藏
页码：249 / 254
页数：6
相关论文
共 50 条
  • [41] A LEAST-SQUARES FINITE-ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS
    BOCHEV, PB
    GUNZBURGER, MD
    APPLIED MATHEMATICS LETTERS, 1993, 6 (02) : 27 - 30
  • [42] COMPUTATION OF THE LBB CONSTANT FOR THE STOKES EQUATION WITH A LEAST-SQUARES FINITE ELEMENT METHOD
    Storn, Johannes
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 58 (01) : 86 - 108
  • [43] A locally conservative, discontinuous least-squares finite element method for the Stokes equations
    Bochev, Pavel
    Lai, James
    Olson, Luke
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2012, 68 (06) : 782 - 804
  • [44] A Locally Conservative Mimetic Least-Squares Finite Element Method for the Stokes Equations
    Bochev, Pavel
    Gunzburger, Max
    LARGE-SCALE SCIENTIFIC COMPUTING, 2010, 5910 : 637 - +
  • [45] ADAPTIVE HP-FINITE ELEMENT FOR TRANSIENT ANALYSIS
    ISSA, CA
    BALASUBRAMANIAM, K
    SRIRENGAN, K
    APPLIED MATHEMATICS AND COMPUTATION, 1994, 65 (1-3) : 315 - 333
  • [46] Hybridization and stabilization for hp-finite element methods
    Banz, Lothar
    Petsche, Jan
    Schroeder, Andreas
    APPLIED NUMERICAL MATHEMATICS, 2019, 136 : 66 - 102
  • [47] A Least-Squares Spectral Element Formulation for the Stokes Problem
    M. M. J. Proot
    M. I. Gerritsma
    Journal of Scientific Computing, 2002, 17 : 285 - 296
  • [48] Adaptive hp-Finite Element Method for Electromagnetic Field Logging Problems
    Ma, Zhonghua
    Liu, Dejun
    Feng, Qi
    SMART MATERIALS AND INTELLIGENT SYSTEMS, 2012, 442 : 109 - 113
  • [49] A Least-Squares Spectral Element Formulation for the Stokes Problem
    Proot, M. M. J.
    Gerritsma, M. I.
    JOURNAL OF SCIENTIFIC COMPUTING, 2002, 17 (1-4) : 285 - 296
  • [50] Saturation estimates for hp-finite element methods
    Bank, Randolph E.
    Parsania, Asieh
    Sauter, Stefan
    COMPUTING AND VISUALIZATION IN SCIENCE, 2013, 16 (05) : 195 - 217
12345