Opuscula Math. 27, no. 2 (2007), 197-203

 
Opuscula Mathematica

Transmission problems for the Helmholtz equation for a rectilinear-circular lune

Volodymyr Denysenko

Abstract. The question related to the construction of the solution of plane transmission problem for the Helmholtz equation in a rectilinear-circular lune is considered. An approach is proposed based on the method of partial domains and the principle of reflection for the solutions of the Helmholtz equation through the segment.

Keywords: Helmholtz equation, transmission problem, infinite system of linear algebraic equations.

Mathematics Subject Classification: 65N38, 35J25.

Full text (pdf)

  • Volodymyr Denysenko
  • Kyiv National University of Trade and Economics, 19 Kioto Street, Kyiv 02156, Ukraine
  • Received: 2006-11-19.
Opuscula Mathematica - cover

Cite this article as:
Volodymyr Denysenko, Transmission problems for the Helmholtz equation for a rectilinear-circular lune, Opuscula Math. 27, no. 2 (2007), 197-203

Download this article's citation as:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

We advise that this website uses cookies to help us understand how the site is used. All data is anonymized. Recent versions of popular browsers provide users with control over cookies, allowing them to set their preferences to accept or reject all cookies or specific ones.