In this paper we propose a new approach to the numerical solution of the mixed Dirichlet-Neumann boundary value problem for the Laplace equation in planar domains with piecewise smooth boundaries. We consider a perturbed BIE system associated to the problem and present a Nyström method for its numerical solution. As Mellin type integral operators are involved, we need to modify the method close to the corners in order to prove its stability and convergence. Some numerical tests are also given to show the efficiency of the method here described.
A Nyström method for mixed boundary value problems in domains with corners
Fermo L.;
2020-01-01
Abstract
In this paper we propose a new approach to the numerical solution of the mixed Dirichlet-Neumann boundary value problem for the Laplace equation in planar domains with piecewise smooth boundaries. We consider a perturbed BIE system associated to the problem and present a Nyström method for its numerical solution. As Mellin type integral operators are involved, we need to modify the method close to the corners in order to prove its stability and convergence. Some numerical tests are also given to show the efficiency of the method here described.
| File | Dimensione | Formato | |
|---|---|---|---|
|
FermoLaurita2020_ANM.pdf
Solo gestori archivio
Tipologia:
versione editoriale (VoR)
Dimensione
487.32 kB
Formato
Adobe PDF
|
487.32 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
FermoLaurita_post.pdf
accesso aperto
Descrizione: Manoscritto in versione post-print
Tipologia:
versione post-print (AAM)
Dimensione
521.16 kB
Formato
Adobe PDF
|
521.16 kB | Adobe PDF | Visualizza/Apri |
I metadati presenti in IRIS UNICA sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono protetti da diritto d'autore, salvo diversa indicazione.
