The line element-less method is an efficient approach for the approximate solution of the Laplace or biharmonic equation on a general bidimensional domain.Introducing generalized harmonic polynomials as approximation functions, we extend the line element-less method to the inhomogeneous Helmholtz equation and to the eigenvalue problem for the Helmholtz equation. The obtained approximate solutions are critically discussed and advantages as well as limitations of the approach are pointed out.
|Numero di pagine||6|
|Stato di pubblicazione||Published - 2020|
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering