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  • 1
    Electronic Resource
    Electronic Resource
    An acceleration method for integral equations by using interpolation post-processing (1998)
    Springer
    Advances in computational mathematics 9 (1998), S. 117-129 
    Details
    ISSN: 1572-9044
    Keywords: integral equations ; interpolation post-processing ; superconvergence ; Richardson extrapolation ; defect correction ; 65R20
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Two post-processing techniques are widely used in the literature in the context of convergence acceleration. One of them is an interpolation technique, used for partial differential equations and integral differential equations, and the other is an iteration technique used for integral equations. These two techniques, interpolation and iteration, are quite different, and the former is simpler. Can we use the interpolation technique for integral equations instead of using the second iteration technique? This report gives a positive answer.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018925103993
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A hybrid nonoverlapping domain decomposition scheme for advection dominated advection–diffusion problems (1998)
    Springer
    Numerical algorithms 18 (1998), S. 321-336 
    Details
    ISSN: 1572-9265
    Keywords: advection dominated problem ; domain decomposition ; 65N30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Two nonoverlapping domain decomposition algorithms are proposed for convection dominated convection–diffusion problems. In each subdomain, artificial boundary conditions are used on the inflow and outflow boundaries. If the flow is simple, each subdomain problem only needs to be solved once. If there are closed streamlines, an iterative algorithm is needed and the convergence is proved. Analysis and numerical tests reveal that the methods are advantageous when the diffusion parameter ɛ is small. In such cases, the error introduced by the domain decomposition methods is negligible in comparison with the error in the singular layers, and it allows easy and efficient grid refinement in the singular layers.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019133818553
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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