In this paper we propose a method for the solution of elliptic diffusion-type problems based on bivariate quadratic B-splines on criss-cross triangulations. This technique considers the weak form of the differential problem and the Galerkin method to approximate the solution. As finite-dimensional space, we choose the space of quadratic splines on a criss-cross triangulation and we use its local basis both for the reconstruction of the physical domain and for the representation of the solution. Beside the theoretical description, we provide some numerical examples.
Titolo: | Quadratic B-splines on criss-cross triangulations for solving elliptic diffusion-type problems | |
Autori Riconosciuti: | ||
Autori: | I. Cravero; C. Dagnino; S. Remogna | |
Data di pubblicazione: | 2012 | |
Abstract: | In this paper we propose a method for the solution of elliptic diffusion-type problems based on bivariate quadratic B-splines on criss-cross triangulations. This technique considers the weak form of the differential problem and the Galerkin method to approximate the solution. As finite-dimensional space, we choose the space of quadratic splines on a criss-cross triangulation and we use its local basis both for the reconstruction of the physical domain and for the representation of the solution. Beside the theoretical description, we provide some numerical examples. | |
Editore: | CMMSE | |
Titolo del libro: | Proceedings of the 2012 International Conference on Computational and Mathematical Methods in Science and Engineering | |
Volume: | 1 | |
Pagina iniziale: | 365 | |
Pagina finale: | 376 | |
Nome del convegno: | Computational and Mathematical Methods in Science and Engineering (CMMSE 2012) | |
Luogo del convegno: | La Manga, Spagna | |
Anno del convegno: | 2-5/07/2012 | |
ISBN: | 9788461553921 | |
Parole Chiave: | Elliptic diffusion-type problem; bivariate B-spline; criss-cross triangulation | |
Appare nelle tipologie: | 04A-Conference paper in volume |
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DLR_spagna_12_4aperto.pdf | POSTPRINT (VERSIONE FINALE DELL’AUTORE) | Accesso aperto | Open Access Visualizza/Apri | |
CDR_2012.pdf | PDF EDITORIALE | Open Access Visualizza/Apri |
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