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Volumn 34, Issue 6, 1997, Pages 2431-2455

Convergence of the combination technique for second-order elliptic differential equations

Author keywords

Combination technique; Finite elements; Order of the discretization error; Sparse grid

Indexed keywords


EID: 0003460829     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036142993260294     Document Type: Article
Times cited : (24)

References (13)
  • 1
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    • Asymptotic error expansion and Richardson extrapolation for linear finite elements
    • H. BLUM, Q. LIN, AND R. RANNACHER, Asymptotic error expansion and Richardson extrapolation for linear finite elements, Numer. Math., 49 (1986), pp. 11-37.
    • (1986) Numer. Math. , vol.49 , pp. 11-37
    • Blum, H.1    Lin, Q.2    Rannacher, R.3
  • 3
    • 24944493523 scopus 로고
    • A proof of convergence for the combination technique for the Laplace equation using tools of symbolic computation
    • Lille, France, G. Jacob, N.E. Oussous, and S. Steinberg, eds., International Association for Mathematics and Computers in Sumilation/l'Université des Sciences et Technologies de Lille, New Brunswick, NJ, 1993
    • H. BUNGARTZ, M. GRIEBEL, D. RÖSCHKE, AND C. ZENGER, A proof of convergence for the combination technique for the Laplace equation using tools of symbolic computation, in Proc. Internat. IMACS Symp. Symbolic Computation, Lille, France, 1993, G. Jacob, N.E. Oussous, and S. Steinberg, eds., International Association for Mathematics and Computers in Sumilation/l'Université des Sciences et Technologies de Lille, New Brunswick, NJ, 1993.
    • (1993) Proc. Internat. IMACS Symp. Symbolic Computation
    • Bungartz, H.1    Griebel, M.2    Röschke, D.3    Zenger, C.4
  • 4
    • 0346173632 scopus 로고
    • Turbulence simulation on sparse grids using the combination method
    • Institut für Informatik, TU München, Germany, December
    • M. GRIEBEL AND W. HUBER, Turbulence simulation on sparse grids using the combination method, Sonderforschungsbereich Bericht 342/19/94 A, Institut für Informatik, TU München, Germany, December 1994.
    • (1994) Sonderforschungsbereich Bericht 342/19/94 A
    • Griebel, M.1    Huber, W.2
  • 5
    • 0002524756 scopus 로고
    • A combination technique for the solution of sparse grid problems
    • Brüssels, Belgium, P. de Groen and R. Beauwens, eds., Eisevier, Amsterdam
    • M. GRIEBEL, M. SCHNEIDER, AND C. ZENGER, A combination technique for the solution of sparse grid problems, in Proc. IMACS Internat. Symp. Iterative Methods in Linear Algebra, Brüssels, Belgium, 1991, P. de Groen and R. Beauwens, eds., Eisevier, Amsterdam, 1992.
    • (1991) Proc. IMACS Internat. Symp. Iterative Methods in Linear Algebra
    • Griebel, M.1    Schneider, M.2    Zenger, C.3
  • 6
    • 0347434807 scopus 로고
    • Solving CFD-problems efficiently by the combination method
    • M. GRIEBEL AND V. THURNER, Solving CFD-problems efficiently by the combination method, CFD-News, 3 (1993), pp. 19-31.
    • (1993) CFD-News , vol.3 , pp. 19-31
    • Griebel, M.1    Thurner, V.2
  • 9
    • 0005327525 scopus 로고
    • Superconvergence of the gradient of finite element solutions
    • P. LESAINT AND M. ZLAMAL, Superconvergence of the gradient of finite element solutions, RAIRO Anal. Numér., 13 (1979), pp. 139-166.
    • (1979) RAIRO Anal. Numér. , vol.13 , pp. 139-166
    • Lesaint, P.1    Zlamal, M.2
  • 11
    • 0347434805 scopus 로고
    • Convergence of the Combination Technique for the Finite Element Solution of Poisson's Equation
    • TU München, Germany
    • C. PFLAUM, Convergence of the Combination Technique for the Finite Element Solution of Poisson's equation, Sonderforschungsbereich-Report 342/14/93 A, TU München, Germany, 1993.
    • (1993) Sonderforschungsbereich-Report 342/14/93 A
    • Pflaum, C.1
  • 13
    • 0003254417 scopus 로고
    • Sparse grids
    • Parallel Algorithms for Partial Differential Equations: Proceedings of the 6th Gesellschaft für Angewandte Mathematik und Mechanik-Seminar, Kiel, Germany, W. Hackbusch, ed., Vieweg, Braunschweig
    • C. ZENGER, Sparse grids, in Parallel Algorithms for Partial Differential Equations: Proceedings of the 6th Gesellschaft für Angewandte Mathematik und Mechanik-Seminar, Kiel, Germany, 1990, W. Hackbusch, ed., Notes on Numerical Fluid Mechanics 31, Vieweg, Braunschweig, 1991.
    • (1990) Notes on Numerical Fluid Mechanics , vol.31
    • Zenger, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.