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  • 2000-2004  (4)
  • 1990-1994
  • 2001  (2)
  • 2000  (2)
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  • 2000-2004  (4)
  • 1990-1994
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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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    ZIB Catalog
    Zuse Institute Berlin get availability status
  • 2
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    Unknown
    Two-Dimensional Adaptive Simulation of Dopant Diffusion in Silicon (2000)
    Details
    Publication Date: 2014-02-26
    Description: One important step in the fabrication of silicon-based integrated circuits is the creation of semiconducting areas by diffusion of dopant impurities into silicon. Complex models have been developed to investigate the redistribution of dopants and point defects. In general, numerical analysis of the resulting PDEs is the central tool to assess the modelling process. We present an adaptive approach which is able to judge the quality of the numerical approximation and which provides an automatic mesh improvement. Using linearly implicit methods in time and multilevel finite elements in space, we are able to integrate efficiently the arising reaction-drift-diffusion equations with high accuracy. Two different diffusion processes of practical interest are simulated.
    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
  • 3
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    Adaptive Linearly Implicit Methods for Heat and Mass Transfer Problems (2000)
    Details
    Publication Date: 2019-05-10
    Description: Dynamical process simulation of complex real-life problems often requires the use of modern algorithms, which automatically adapt both the time and space discretization in order to get error-controlled approximations of the solution. In this paper, a combination of linearly implicit time integrators of Rosenbrock type and adaptive multilevel finite elements based on a posteriori error estimates is presented. This approach has proven to work quite satisfactorily for a wide range of challenging practical problems. We show the performance of our adaptive method for two applications that arise in the study of flame balls and brine transport in porous media.
    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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    Unknown
    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
    BibTip Others were also interested in ...
    OPUS
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