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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of scientific computing 12 (1997), S. 233-251 
    ISSN: 1573-7691
    Keywords: Optimization ; multilevel method ; unstructured meshes ; agglomeration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This paper describes a new approach of the Multilevel optimization method (MLO) studied in Refs. 4 and 11. The previous approach of the multilevel method was a multiplicative or serial method since each level is addressed sequentially; it presents, as MG methods, a mesh-independent convergence rate. It is more costly than MG methods, but easier to implement. In order to smooth all the frequency components of the error, the V-cycle strategy is used and it results in several cost functional evaluations per cycle. The proposed new strategy is based on an additive approach. A new preconditioner is deduced from this multilevel method, which provides a better efficiency than the previous method since all frequencies are addressed in only one optimization iteration. An abstract analysis seems to indicate a mesh independent convergence rate. All application to unstructured meshes is derived by combining with a volume agglomeration approach and illustrates the behavior predicted by the theory.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 18 (1994), S. 27-42 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We are interested in solving second-order PDEs with multigrid and unstructured meshes. The multigrid strategy we present here is adapted from the generalized finite volume agglomeration multigrid algorithm we have developed recently for the solution of the Euler equations. We now focus on Poisson's equation. A strategy is defined by introducing a correction factor for the diffusive terms, and some illustrating results are given.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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