Free Access
Volume 34, Number 1, January/February 2000
Page(s) 47 - 62
Published online 15 April 2002
  1. H. Blum, S. Lisky and R. Rannacher, A domain splitting algorithm for parabolic problems. Computing 49 (1992) 11-23. [CrossRef] [MathSciNet]
  2. D. Braess, W. Dahmen and Chr. Wieners, A multigrid algorithm for the mortar finite element method. SIAM J. Numer. Anal. 37 (1999) 48-69. [CrossRef] [MathSciNet]
  3. H. Chen and R.D. Lazarov, Domain splitting algorithm for mixed finite element approximations to parabolic problems. East-West J. Numer. Math. 4 (1996) 121-135. [MathSciNet]
  4. Z. Chen and J. Zou, Finite element methods and their convergence analysis for elliptic and parabolic interface problems. Numer. Math. 79 (1998) 175-202. [CrossRef] [MathSciNet]
  5. W. Hackbusch, Theorie und Numerik elliptischer Differentialgleichungen. Teubner, Stuttgart (1986).
  6. W. Hackbusch and S. Sauter, Composite finite elements for the approximation of PDEs on domains with complicated microstructures. Numer. Math. 75 (1997) 447-472. [CrossRef] [MathSciNet]
  7. H. Haller, Composite materials of shape-memory alloys: micromechanical modelling and homogenization (in German). Ph.D. thesis, Technische Universitt Mnchen (1997).
  8. F.H. Hebeker, An a posteriori error estimator for elliptic boundary and interface problems. Preprint 97-46 (SFB 359), Universitt Heidelberg (1997); submitted.
  9. F.K. Hebeker, Multigrid convergence analysis for elliptic problems arising in composite materials (in preparation).
  10. F.K. Hebeker and Yu.A. Kuznetsov, Unsteady convection and convection-diffusion problems via direct overlapping domain decomposition methods. Preprint 93-54 (SFB 359), Universitt Heidelberg, 1993; Numer. Methods Partial Differential Equations 14 (1998) 387-406.
  11. K.H. Hoffmann and J. Zou, Finite element analysis on the Lawrence-Doniach model for layered superconductors. Numer. Funct. Anal. Optim. 18 (1997) 567-589. [CrossRef] [MathSciNet]
  12. J. Jäger, An overlapping domain decomposition method to parallelize the solution of parabolic differential equations (in German). Ph.D. thesis, Universitt Heidelberg (1994).
  13. C. Kober, Composite materials of shape-memory alloys: modelling as layers and numerical simulation (in German). Ph.D. thesis, Technische Universitt Mnchen (1997).
  14. Yu.A. Kuznetsov, New algorithms for approximate realization of implicit difference schemes. Sov. J. Numer. Anal. Modell. 3 (1988) 99-114. [CrossRef]
  15. Yu.A. Kuznetsov, Domain decomposition methods for unsteady convection diffusion problems. Comput. Methods Appl. Sci. Engin. (Proceedings of the Ninth International Conference, Paris 1990) SIAM, Philadelphia (1990) 211-227.
  16. Yu.A. Kuznetsov, Overlapping domain decomposition methods for finite element problems with singular perturbed operators. in Domain decomposition Methods for Partial differential equations, R. Glowinski et al. Eds., SIAM, Philadelphia. Proc. of the 4th Intl. Symp. (1991) 223-241
  17. A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential Equations. Springer, Berlin etc. (1994).
  18. R. Rannacher and J. Zhou, Analysis of a domain splitting method for nonstationary convection-diffusion problems. East-West J. Numer. Math. 2 (1994) 151-172. [MathSciNet]
  19. J. Wloka, Partielle Differentialgleichungen. Teubner, Stuttgart (1982).

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