Identification and reconstruction of body forces in a stokes system using shear waves

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In this paper we consider an inverse source problem for the Brinkman system of equations (or unsteady Stokes equations). The uniqueness problem of recovering the source term from traction boundary data is studied and established from density properties of shear waves with complex frequency. This result is then applied to the reconstruction of the body force term as a superposition of shear waves. Some numerical results will be presented in order to illustrate the accuracy of the proposed method.

Original languageEnglish
Title of host publicationAdvances in Trefftz Methods and Their Applications
EditorsC. Alves, A. Karageorghis, V. Leitão, S. Valtchev
Place of PublicationCham
Number of pages18
ISBN (Electronic)978-3-030-52804-1
ISBN (Print)978-3-030-52803-4
Publication statusPublished - 2020

Publication series

NameSEMA SIMAI Springer Series
ISSN (Print)2199-3041
ISSN (Electronic)2199-305X


  • Inverse source problems
  • Method of fundamental solutions
  • Shear waves method
  • Stokes systems


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