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  • 2000-2004  (2)
  • 1990-1994  (2)
  • 2001  (2)
  • 1994  (2)
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  • 2000-2004  (2)
  • 1990-1994  (2)
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  • 1
    Buch
    Buch
    Adaptive multilevel solution of nonlinear parabolic PDE systems : theory, algorithm, and applications; 16 (2001)
    Berlin u.a. :Springer,
    Details
    Titel: Adaptive multilevel solution of nonlinear parabolic PDE systems : theory, algorithm, and applications; 16
    Autor: Lang, Jens
    Verlag: Berlin u.a. :Springer,
    Erscheinungsjahr: 2001
    Seiten: 157 S.
    Serie: Lecture notes in computational science and engineering 16
    Materialart: Buch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Zuse-Institut Berlin get availability status
  • 2
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    Two-Dimensional Fully Adaptive Solutions of Reaction-Diffusion Equations (1994)
    Details
    Publikationsdatum: 2014-02-26
    Beschreibung: We present an adaptive Rothe method for two--dimensional problems combining an embedded Runge--Kutta scheme in time and a multilevel finite element discretization in space. The spatial discretization error is controlled by a posteriori error estimates based on interpolation techniques. A computational example for a thermodiffusive flame propagation model illustrates the high accuracy that is possible with the proposed method.
    Schlagwort(e): ddc:000
    Sprache: Englisch
    Materialart: reportzib , doc-type:preprint
    Format: application/postscript
    Format: application/pdf
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    OPUS
  • 3
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    High-Resolution Selfadapative Computations on Chemical Reaction-Diffusion Problems with Internal Boundaries (1994)
    Details
    Publikationsdatum: 2014-02-26
    Beschreibung: Large chemical computations show the need for full adaptivity supporting the development of robust and highly efficient programs. For solutions possessing sharp moving spatial transitions, as travelling wavefronts or emerging boundary and internal layers, an automatic adjustment of both the space and the time stepsize is generally accepted to be more successful in efficient resolving critical regions of high spatial and temporal activity. In contrast to the widespread discretization sequence first space then time the reversed sequence first time then space is employed. Full adaptivity of the proposed algorithm is realized by combining embedded time discretization and multilevel finite element space discretization. In this paper the algorithm is described for one--dimensional problems. The numerical results show the significantly new perspectives opened by this approach.
    Schlagwort(e): ddc:000
    Sprache: Englisch
    Materialart: reportzib , doc-type:preprint
    Format: application/postscript
    Format: application/pdf
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 4
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    Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible (2001)
    Details
    Publikationsdatum: 2019-05-10
    Beschreibung: By computed tomography data (CT), the individual geometry of the mandible is quite well reproduced, also the separation between cortical and trabecular bone. Using anatomical knowledge about the architecture and the functional potential of the masticatory muscles, realistic situations were approximated. The solution of the underlying partial differential equations describing linear elastic material behaviour is provided by an adaptive finite element method. Estimations of the discretization error, local grid refinement, and multilevel techniques guarantee the reliability and efficiency of the method.
    Schlagwort(e): ddc:000
    Sprache: Englisch
    Materialart: reportzib , doc-type:preprint
    Format: application/postscript
    Format: application/pdf
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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