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Enriched Reproducing Kernel Approximation: Reproducing Functions with Discontinuous Derivatives

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Meshfree Methods for Partial Differential Equations II

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 43))

Abstract

In this paper we propose a new approximation technique within the context of meshless methods able to reproduce functions with discontinuous derivatives. This approach involves some concepts of the reproducing kernel particle method (RKPM), which have been extended in order to reproduce functions with discontinuous derivatives. This strategy will be referred as Enriched Reproducing Kernel Particle Approximation (E-RKPA). The accuracy of the proposed technique will be compared with standard RKP approximations (which only reproduces polynomials).

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Author information

Authors and Affiliations

  1. LIPSI-ESTIA, Technopole Izarbel, 64210, Bidart, France

    Pierre Joyot & Jean Trunzler

  2. LMSP, 151 Bd. de l’Hôpital, 75013, Paris, France

    Jean Trunzler & Fransisco Chinesta

Authors
  1. Pierre Joyot
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  2. Jean Trunzler
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  3. Fransisco Chinesta
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Editor information

Editors and Affiliations

  1. Institut für Numerische Simulation, Universität Bonn, Wegelerstraße 6, 53115, Bonn, Germany

    Michael Griebel  & Marc A. Schweitzer  & 

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© 2005 Springer-Verlag Berlin Heidelberg

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Joyot, P., Trunzler, J., Chinesta, F. (2005). Enriched Reproducing Kernel Approximation: Reproducing Functions with Discontinuous Derivatives. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations II. Lecture Notes in Computational Science and Engineering, vol 43. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-27099-X_6

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