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  • Articles: DFG German National Licenses  (2)
  • 1995-1999  (2)
  • 1955-1959
  • Finite element method  (1)
  • asymptotics  (1)
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  • Articles: DFG German National Licenses  (2)
Material
Years
  • 1995-1999  (2)
  • 1955-1959
Year
Keywords
  • 1
    Electronic Resource
    Electronic Resource
    A finite element method for interface problems in domains with smooth boundaries and interfaces (1996)
    Springer
    Advances in computational mathematics 6 (1996), S. 109-138 
    Details
    ISSN: 1572-9044
    Keywords: Finite element method ; interface problems ; 65N30 ; 65F10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper is concerned with the analysis of a finite element method for nonhomogeneous second order elliptic interface problems on smooth domains. The method consists in approximating the domains by polygonal domains, transferring the boundary data in a natural way, and then applying a finite element method to the perturbed problem on the approximate polygonal domains. It is shown that the error in the finite element approximation is of optimal order for linear elements on a quasiuniform triangulation. As such the method is robust in the regularity of the data in the original problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02127700
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Self-similar behaviour in the coagulation equations (1999)
    Springer
    Journal of engineering mathematics 36 (1999), S. 57-88 
    Details
    ISSN: 1573-2703
    Keywords: coagulation equations ; asymptotics ; self-similar solutions ; Smoluchowski.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract This paper describes solutions to the Smoluchowski coagulation equations with power-law kernels in both constant-mass and constant-monomer cases. Exact solutions are obtained in special cases by a generating function approach. For more general kernels, the large-time behaviour is obtained by use of matched asymptotics. Numerical results are also given, which confirm the asymptotic analysis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004589822425
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    Paper (German National Licenses)
    Fulltext
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