ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
  • Mathematics Subject Classification (1991): 45B05, 45E05, 45L10, 65R20  (1)
  • additive Schwarz method  (1)
  • 1
    Electronic Resource
    Electronic Resource
    The h-p version of the coupling of finite element and boundary element methods for transmission problems in polyhedral domains (1998)
    Springer
    Numerische Mathematik 80 (1998), S. 87-107 
    Details
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991): 45B05, 45E05, 45L10, 65R20
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. This paper analyzes the rate of convergence of the h-p version of the coupling of the finite element and boundary element method for transmission problems with a linear differential operator with variable coefficients in a bounded polyhedral domain $\Omega_1$ and with constant coefficients in the exterior domain $\Omega_2 = {\Bbb R}^3 \backslash \overline{\Omega}_1$ . This procedure uses the variational formulation of the differential equation in $\Omega_1$ and involves integral operators on the interface between $\Omega_1$ and $\Omega_2$ . The finite elements are used to obtain approximate solutions of the differential equation in $\Omega_1$ and the boundary elements are used to obtain approximate solutions of the integral equations. For given piecewise analytic data we show that the Galerkin solution of this coupling procedure converges exponentially fast in the energy norm if the h-p version is used both for finite elements and boundary elements.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002110050361
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Preconditioners for the p-version of the Galerkin method for a coupled finite element/boundary element system (1998)
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Methods for Partial Differential Equations 14 (1998), S. 47-61 
    Details
    ISSN: 0749-159X
    Keywords: p-version finite element method ; boundary element method ; interface problem ; preconditioning ; domain decomposition ; additive Schwarz method ; Mathematics and Statistics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We propose and analyze efficient preconditioners for solving systems of equations arising from the p-version for the finite element/boundary element coupling. The first preconditioner amounts to a block Jacobi method, whereas the second one is partly given by diagonal scaling. We use the generalized minimum residual method for the solution of the linear system. For our first preconditioner, the number of iterations of the GMRES necessary to obtain a given accuracy grows like log2 p, where p is the polynomial degree of the ansatz functions. The second preconditioner, which is more easily implemented, leads to a number of iterations that behave like p log3 p. Computational results are presented to support this theory. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 47-61, 1998
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...