Journal of applied mathematics & informatics

  • 제5권3호
  • /
  • Pages.735-748
  • /
  • 1998
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

QUADRATURE ERROR OF THE LOAD VECTOR IN THE FINITE ELEMENT METHOD

  • Kim, Chang-Geun (Department of Mathematics Research Institute of Basic Science Kwangwoon University)
  • 발행 : 1998.09.01

⟨ 이전 논문 다음 논문 ⟩

초록

We analyze the error in the p version of the of the finite element method when the effect of the quadrature error is taken in the load vector. We briefly study some results on the $H^{1}$ norm error and present some new results for the error in the $L^{2}$ norm. We inves-tigate the quadrature error due to the numerical integration of the right hand side We present theoretical and computational examples showing the sharpness of our results.

키워드

참고문헌

  1. Impact of Computing in Science and Engineering v.1 Implementation of non-homogeneous Dirichlet boundary conditions in the p-version of the finite element method I.Babu$\u{s}$ka;B.Guo;M.Suri
  2. SIAM J. Numer. Anal. v.24 The optimal convergence rate of the p-version of the finite element method I.Babu$\u{s}$ka;M.Suri
  3. Math. Comp v.59 The effect of numerical quadrature in the p version of the finite element method U.Banerjee;M.Suri
  4. Technical report Approximations spectrales de problemes aux limites elliptiques C.Bernardi;Y.Maday
  5. The Finite Element Method for Elliptic Problems P.G.Ciarlet
  6. Methods of Numerical Integration P.J.Davis;P.Rabinowitz
  7. SIAM J. Numer. Anal v.21 The approximation theory for the p-version of the finite element method M.R.Dorr
  8. Comp. Meth. Appl. Mech. Eng. v.97 On the L₂ error for the P version of the finite element method over polygonal domains S.Jensen;M.Suri
  9. RAIRO Math. Mod. Numer. Anal. v.24 The p-version of the finite element method for elliptic equations of order 2ℓ M.Suri