Solving Inverse Cauchy Problems of the Helmholtz Equation Using Conjugate Gradient Based-Method: BICG, BICGSTAB And PCG

Authors

  • Ibtihal Thabit Jameel
  • Athraa Falih Hasan
  • Duaa Jasim
  • Fatima M. Aboud

DOI:

https://doi.org/10.24237/ASJ.01.04.652D

Keywords:

Inverse Cauchy problems, Helmholtz equation, polynomial expansion, conjugate gradient based-method.

Abstract

An inverse Cauchy problem on an under-specified portion of the boundary of a twodimensional
domain occupied by a material satisfying Helmholtz-type equations from
additional Cauchy data on the remaining accessible portion of the boundary has been
considered. The solution is approached using a polynomial expansion to obtain a linear system;
this linear system has been solved by conjugate gradient based-method. The efficiency of the
proposed method has been confirmed by applying it for different examples and by comparing
the obtained results by using three different numerical methods.

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Published

2023-10-01

How to Cite

Ibtihal Thabit Jameel, Athraa Falih Hasan, Duaa Jasim, & Fatima M. Aboud. (2023). Solving Inverse Cauchy Problems of the Helmholtz Equation Using Conjugate Gradient Based-Method: BICG, BICGSTAB And PCG. Academic Science Journal, 1(4), 13–31. https://doi.org/10.24237/ASJ.01.04.652D

Issue

Vol. 1 No. 4 (2023)

Section

Articles

License

Copyright (c) 2023 CC BY 4.0

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.