Neural-network methods for boundary value problems with irregular boundaries
| dc.contributor.author | Lagaris, I. E. | en |
| dc.contributor.author | Likas, A. C. | en |
| dc.contributor.author | Papageorgiou, D. G. | en |
| dc.date.accessioned | 2015-11-24T17:36:31Z | |
| dc.date.available | 2015-11-24T17:36:31Z | |
| dc.identifier.issn | 1045-9227 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/14256 | |
| dc.rights | Default Licence | - |
| dc.subject | boundary value problems | en |
| dc.subject | engineering problems | en |
| dc.subject | irregular boundaries | en |
| dc.subject | neural networks | en |
| dc.subject | partial differential equations (pdes) | en |
| dc.subject | penalty method | en |
| dc.subject | multilayer perceptron | en |
| dc.subject | radial basis function (rbf) networks | en |
| dc.subject | multilayer feedforward networks | en |
| dc.subject | optimization | en |
| dc.subject | system | en |
| dc.title | Neural-network methods for boundary value problems with irregular boundaries | en |
| heal.abstract | Partial differential equations (PDEs) with boundary conditions (Dirichlet or Neumann) defined on boundaries with simple geometry hare been successfully treated using sigmoidal multilayer perceptrons in previous works. This article deals,vith the case of complex: boundary geometry, where the boundary is determined by a number of points that belong to it and are closely located, so as to offer a reasonable representation. Two networks are employed: a multilayer perceptron and a radial basis function network. The later is used to account for the exact satisfaction of the boundary conditions, The method has been successfully tested on two-dimensional and three-dimensional PDEs and has yielded accurate results. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000089508300001 | - |
| heal.journalName | Ieee Transactions on Neural Networks | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2000 | - |
| heal.publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Επιστήμης Υλικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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