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  • 2000-2004  (2)
  • 1990-1994  (2)
  • 2001  (2)
  • 1991  (2)
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  • 2000-2004  (2)
  • 1990-1994  (2)
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  • 1
    Book
    Book
    Adaptive multilevel solution of nonlinear parabolic PDE systems : theory, algorithm, and applications; 16 (2001)
    Berlin u.a. :Springer,
    Details
    Title: Adaptive multilevel solution of nonlinear parabolic PDE systems : theory, algorithm, and applications; 16
    Author: Lang, Jens
    Publisher: Berlin u.a. :Springer,
    Year of publication: 2001
    Pages: 157 S.
    Series Statement: Lecture notes in computational science and engineering 16
    Type of Medium: Book
    Library Location Call Number Volume/Issue/Year Availability
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    Zuse Institute Berlin get availability status
  • 2
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    Unknown
    An Adaptive Discontinuous Finite Element Method for the Transport Equation. (1991)
    Details
    Publication Date: 2014-02-26
    Description: In this paper we introduce a discontinuous finite element method. In our approach, it is possible to combine the advantages of finite element and finite difference methods. The main ingredients are numerical flux approximation and local orthogonal basis functions. The scheme is defined on arbitrary triangulations and can be easily extended to nonlinear problems. Two different error indicators are derived. Especially the second one is closely connected to our approach and able to handle arbitrary variing flow directions. Numerical results are given for boundary value problems in two dimensions. They demonstrate the performance of the scheme, combined with the two error indicators. {\bf Key words:} neutron transport equation, discontinuous finite element, adaptive grid refinement. {\bf Subject classifications:} AMS(MOS) 65N30, 65M15.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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    OPUS
  • 3
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    Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible (2001)
    Details
    Publication Date: 2019-05-10
    Description: 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.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
    Format: application/pdf
    Library Location Call Number Volume/Issue/Year Availability
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    OPUS
  • 4
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    An Adaptive Finite Element Method for Convection-Diffusion Problems by Interpolation Techniques. (1991)
    Details
    Publication Date: 2014-02-26
    Description: For adaptive solution of convection- difussion problems with the streamline-diffusion finite element method, an error estimator based on interpolation techniques is developed. It can be shown that for correctness of this error estimator a restriction of the maximum angle is to be sufficient. Compared to usual methods, the adaptive process leads to more accurate solutions at much less computational cost. Numerical tests are enclosed. {\bf Keywords: } Adaptive finite elements, convection- diffusion equation, internal and boundary layers, streamline-diffusion. {\bf Subject Classifications:} AMS(MOS): 65N15, 65N30
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
    Library Location Call Number Volume/Issue/Year Availability
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    OPUS
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