메뉴 건너뛰기




Volumn 40, Issue 1, 2006, Pages 29-48

Evaluation of the condition number in linear systems arising in finite element approximations

Author keywords

Condition number; Finite elements; Linear algebra; Partial differential equations

Indexed keywords


EID: 33646697154     PISSN: 0764583X     EISSN: 12903841     Source Type: Journal    
DOI: 10.1051/m2an:2006006     Document Type: Article
Times cited : (60)

References (15)
  • 1
    • 0001451993 scopus 로고    scopus 로고
    • The conditioning of boundary element equations on locally refined meshes and preconditioning by diagonal scaling
    • M. Ainsworth, W. McLean and T. Tran, The conditioning of boundary element equations on locally refined meshes and preconditioning by diagonal scaling, SIAM J. Numer. Anal. 36 (1999) 1901-1932.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 1901-1932
    • Ainsworth, M.1    McLean, W.2    Tran, T.3
  • 3
    • 0000728755 scopus 로고
    • On the conditioning of finite element equations with highly refined meshes
    • R.E. Bank and L.R. Scott, On the conditioning of finite element equations with highly refined meshes. SIAM J. Numer. Anal. 26 (1989) 1383-1384.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1383-1384
    • Bank, R.E.1    Scott, L.R.2
  • 4
    • 0003210742 scopus 로고
    • The mathematical theory of finite element methods
    • Springer, New York
    • S.C. Brenner and R.L. Scott, The Mathematical Theory of Finite Element Methods. Springer, New York, Texts Appl. Math. 15 (1994).
    • (1994) Texts Appl. Math. , vol.15
    • Brenner, S.C.1    Scott, R.L.2
  • 6
    • 0034368684 scopus 로고    scopus 로고
    • Finite volume box schemes and mixed methods
    • J.-P. Croisille, Finite volume box schemes and mixed methods. ESAIM: M2AN 34 (2000) 1087-1106.
    • (2000) ESAIM: M2AN , vol.34 , pp. 1087-1106
    • Croisille, J.-P.1
  • 8
    • 11244324581 scopus 로고    scopus 로고
    • Theory and practice of finite elements
    • Springer-Verlag, New York.
    • A. Ern and J.-L. Guermond, Theory and Practice of Finite Elements, Springer-Verlag, New York. Appl. Math. Ser. 159 (2004)
    • (2004) Appl. Math. Ser. , vol.159
    • Ern, A.1    Guermond, J.-L.2
  • 9
    • 33847673327 scopus 로고    scopus 로고
    • Discontinuous Galerkin methods for Friedrichs' systems. I. General theory
    • in press
    • A. Ern and J.-L. Guermond, Discontinuous Galerkin methods for Friedrichs' systems. I. General theory. SIAM J. Numer. Anal. (2005) (in press).
    • (2005) SIAM J. Numer. Anal.
    • Ern, A.1    Guermond, J.-L.2
  • 11
    • 0004236492 scopus 로고
    • John Hopkins University Press, Baltimore, second edition
    • G.H. Golub and C.F. van Loan, Matrix Computations. John Hopkins University Press, Baltimore, second edition (1989).
    • (1989) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 13
    • 0012638814 scopus 로고
    • Sur une méthode pour résoudre les équations aux dérivées partielles de type elliptique, voisine de la variationnelle
    • J. Nečas, Sur une méthode pour résoudre les équations aux dérivées partielles de type elliptique, voisine de la variationnelle. Ann. Scuola Norm. Sup. Pisa 16 (1962) 305-326.
    • (1962) Ann. Scuola Norm. Sup. Pisa , vol.16 , pp. 305-326
    • Nečas, J.1
  • 15
    • 0004021335 scopus 로고
    • Classics in Mathematics. Springer-Verlag, Berlin Reprint of the sixth edition (1980)
    • K. Yosida, Functional Analysis, Classics in Mathematics. Springer-Verlag, Berlin (1995). Reprint of the sixth edition (1980).
    • (1995) Functional Analysis
    • Yosida, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.