On the solution of algebraic systems for serendipity FEM

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 16, Issue 3, 2001, Pages 191-214

  Axelsson, O ^a   Gurieva, Y L ^b   Il'In, V P ^b  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^b INSTITUTE OF COMPUTATIONAL MATHEMATICS AND MATHEMATICAL GEOPHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31244434982     PISSN: 09276467     EISSN: 15693988     Source Type: Journal    
DOI: 10.1515/rnam-2001-0302     Document Type: Article

References (11)

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2. O. Axelsson and V. A. Barker, Finite Element Solution of Boundary Value Problems. Theory and Compulations. Academic Press, New York, 1984.
3. O. Axelsson and P. S. Vassilevski, Algebraic multilevel preconditioning methods, I. NumerMath. (1989) 56, 157-177.
4. O. Axelsson and P.S. Vassilevski, Variable-step multilevel preconditioning methods, I. Self-adjoint and positive definite elliptic problems. Numer. Linear. Alg. Appl. (1994), No. 1, 75-101.
5. O. Axelsson, Yu. R. Hakopian, and Yu. A. Kuznetsov, Multilevel preconditioning for perturbed finite element matrices. IMA J. Numer. Anal. (1997) 17, No. 1, 125-149.
6. O. Axelsson and M. Larin, An algebraic multilevel iteration method for finite element matrices. J. Comp. Math. (1997) 89, 135-153.
7. O. Axelsson, Iterative Solution Methods. Cambridge University Press, New York, 1994.
8. Y.L. Gurieva and V.P. Il'in, Finite volume approaches for 2-D BVP's: algorithms, data structures, software and experiments. Report No. 9715, Dep. of Math., University of Nijmegen, The Netherlands, 1997.
9. V. P. Il'in, Iterative Incomplete Factorization Methods. World. Sci. Publ., Singapore, 1993.
10. V.P. Il'in, On approach to improvement of difference solutions. Sib. J. Comp. Math. (1992) 1, No. 3, 205-214.
11. V.P. Il'in, On estimates of the convergence rate of iterative incomplete factorization methods. Russ. J. Numer. Anal. Math. Modelling (1999) 14, No. 2, 125-136.