Mixed hp-DGFEM for incompressible flows

被引：137
作者：
Schötzau, D
Schwab, C
Toselli, A
机构：
[1] Univ Basel, Dept Math, CH-4051 Basel, Switzerland
[2] Swiss Fed Inst Technol, SAM, CH-8092 Zurich, Switzerland
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2003年 / 40卷 / 06期
关键词：
hp-FEM; discontinuous Galerkin methods; Stokes problem;
D O I：
10.1137/S0036142901399124
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider several mixed discontinuous Galerkin approximations of the Stokes problem and propose an abstract framework for their analysis. Using this framework, we derive a priori error estimates for hp-approximations on tenser product meshes. We also prove a new stability estimate for the discrete divergence bilinear form.
引用
收藏
页码：2171 / 2194
页数：24
相关论文
共 43 条
[1]   hp-approximation theory for BDFM and RT finite elements on quadrilaterals [J].
Ainsworth, M ;
Pinchedez, K .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2003, 40 (06) :2047-2068
[2]  
[Anonymous], 1998, P HP FEM THEORY APPL
[3]   Unified analysis of discontinuous Galerkin methods for elliptic problems [J].
Arnold, DN ;
Brezzi, F ;
Cockburn, B ;
Marini, LD .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 39 (05) :1749-1779
[4]  
BABUSKA I, 1987, RAIRO-MATH MODEL NUM, V21, P199
[5]   PIECEWISE SOLENOIDAL VECTOR-FIELDS AND THE STOKES PROBLEM [J].
BAKER, GA ;
JUREIDINI, WN ;
KARAKASHIAN, OA .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (06) :1466-1485
[6]   A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations [J].
Bassi, F ;
Rebay, S .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 131 (02) :267-279
[7]  
Bassi F., 1997, P 2 EUR C TURB FLUID, P99
[8]   A discontinuous hp finite element method for convection-diffusion problems [J].
Baumann, CE ;
Oden, JT .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 175 (3-4) :311-341
[9]  
BECKER R, 1995, P 10 GAMM SEM NOT NU, P52
[10]  
Bernardi C, 1997, Handbook of numerical analysis, VV, DOI [10.1016/S1570-8659(97)80003-8, DOI 10.1016/S1570-8659(97)80003-8]
12345