• High-order maximum-entropy col...

Treffer: High-order maximum-entropy collocation methods

Title:
High-order maximum-entropy collocation methods
Authors:
Greco, Francesco, Arroyo Balaguer, Marino
Contributors:
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
Publication Year:
2020
Collection:
Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge
Subject Terms:
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics, Àrees temàtiques de la UPC::Matemàtiques i estadística, Numerical analysisDifference equations--Numerical solutions, Operations research, HOLMES, Maximum-entropy, Meshfree, High-order, Collocation, NURBS, Equacions diferencials--solucions numèriques, Programació (Matemàtica), Classificació AMS::65 Numerical analysis::65L Ordinary differential equations, Classificació AMS::90 Operations research, mathematical programming::90C Mathematical programming
Document Type:
Fachzeitschrift article in journal/newspaper
File Description:
24 p.; application/pdf
Language:
English
ISBN:
978-0-04-578252-9
0-04-578252-0
Relation:
https://www.sciencedirect.com/science/article/pii/S0045782520303005; https://arxiv.org/abs/2010.13615v2; info:eu-repo/grantAgreement/EC/H2020/792028/EU/Development of a design-through-analysis methodology based on a coupled isogemetrcic-maximum entropy approach/ISOMAXENT; http://hdl.handle.net/2117/328757
DOI:
10.1016/j.cma.2020.113115
Availability:
http://hdl.handle.net/2117/328757
https://doi.org/10.1016/j.cma.2020.113115
Rights:
Open Access
Accession Number:
edsbas.8DFEFDA2
Database:
BASE

Weitere Informationen

© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ ; This paper considers the approximation of partial differential equations with a point collocation framework based on high-order local maximum-entropy schemes (HOLMES). In this approach, smooth basis functions are computed through an optimization procedure and the strong form of the problem is directly imposed at the collocation points, reducing significantly the computational times with respect to the Galerkin formulation. Furthermore, such a method is truly meshfree, since no background integration grid is necessary. The validity of HOLMES collocation is verified with supportive numerical examples, where the expected convergence rates are obtained. This includes the approximation of PDEs on domains bounded by implicit and explicit (NURBS) curves, illustrating a direct integration between geometric modeling and numerical analysis. ; Peer Reviewed ; Postprint (author's final draft)