Vol. 6 No. 1 (2022): Vol 6, Iss 1, Year 2022 (Honor of Ravi P. Agarwal)
Articles

Numerical simulations for the newton and stokes potentials using approximate approximations

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  • Werner Varnhorn,
  • Saphir Mfogo
Werner Varnhorn
University of Kassel, Germany.
Saphir Mfogo
African Institute for Mathematical Sciences (AIMS) Cameroon.
DOI: https://doi.org/10.26524/cm128
Published March 25, 2022
Keywords
  • Approximate approximations, Poisson equation, Newton potential, Stokes system, Stokes potentials
How to Cite
Werner Varnhorn, & Saphir Mfogo. (2022). Numerical simulations for the newton and stokes potentials using approximate approximations. Journal of Computational Mathematica, 6(1), 159-199. https://doi.org/10.26524/cm128

Abstract

The method of approximate approximations is based on generating functions representing an approximate partition of the unity. In the present paper this method is used for the numerical solution of the Poisson equation and the Stokes system in Rn (n = 2, 3). The corresponding approximate volume potentials will be computed explicitly in these cases,containing a one-dimensional integral, only. Numerical simulations show the efficiency of the method and confirm the expected approximation of essentially second order, depending on the smoothness of the data.

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