Details

Autor(en) / Beteiligte

• Marin, L.
• Elliott, L.
• Heggs, P.J.
• Ingham, D.B.
• Lesnic, D.
• Wen, X.

Titel

An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation

Ist Teil von

• Computer methods in applied mechanics and engineering, 2003-01, Vol.192 (5), p.709-722

Ort / Verlag

Amsterdam: Elsevier B.V

Erscheinungsjahr

2003

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, the iterative algorithm proposed by Kozlov et al. [Comput. Maths. Math. Phys. 31 (1991) 45] for obtaining approximate solutions to the ill-posed Cauchy problem for the Helmholtz equation is analysed. The technique is then numerically implemented using the boundary element method (BEM). The numerical results confirm that the iterative BEM produces a convergent and stable numerical solution with respect to increasing the number of boundary elements and decreasing the amount of noise added into the input data. An efficient stopping regularising criterion is also proposed.