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Global-Local Enrichments in PUMA

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Book cover Meshfree Methods for Partial Differential Equations IX (IWMMPDE 2017)

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 129))

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Abstract

In this paper we present the global-local enrichment approach in a general partition of unity method. Moreover, we propose an automatic scheme of computing an optimal parameter in Robin boundary conditions for the local problem. We present results of two dimensional fracture mechanics problems to demonstrate the properties and performance of the resulting method.

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Authors and Affiliations

  1. Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI, Sankt Augustin, Germany

    Matthias Birner & Marc Alexander Schweitzer

  2. Rheinische Friedrich-Wilhelms-Universität Bonn, Institut für Numerische Simulation, Bonn, Germany

    Marc Alexander Schweitzer

Authors
  1. Matthias Birner
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  2. Marc Alexander Schweitzer
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Correspondence to Matthias Birner .

Editor information

Editors and Affiliations

  1. Institut für Numerische Simulation, Universität Bonn, Bonn, Germany

    Michael Griebel

  2. Institut für Numerische Simulation, Universität Bonn, Bonn, Germany

    Marc Alexander Schweitzer

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Birner, M., Schweitzer, M.A. (2019). Global-Local Enrichments in PUMA. In: Griebel, M., Schweitzer, M. (eds) Meshfree Methods for Partial Differential Equations IX. IWMMPDE 2017. Lecture Notes in Computational Science and Engineering, vol 129. Springer, Cham. https://doi.org/10.1007/978-3-030-15119-5_10

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