Self-adaptive hp finite element method with iterative mesh truncation technique accelerated with Adaptive Cross Approximation

Barrio Garrido, Rosa María and Gómez Revuelto, Ignacio and García Castillo, Luis Emilio and Salazar Palma, Magdalena (2016). Self-adaptive hp finite element method with iterative mesh truncation technique accelerated with Adaptive Cross Approximation. "Computers & mathematics with applications", v. 71 (n. 10); pp. 1911-1932. ISSN 0898-1221. https://doi.org/10.1016/j.camwa.2016.02.030.

Description

Title: Self-adaptive hp finite element method with iterative mesh truncation technique accelerated with Adaptive Cross Approximation
Author/s:
  • Barrio Garrido, Rosa María
  • Gómez Revuelto, Ignacio
  • García Castillo, Luis Emilio
  • Salazar Palma, Magdalena
Item Type: Article
Título de Revista/Publicación: Computers & mathematics with applications
Date: May 2016
ISSN: 0898-1221
Volume: 71
Subjects:
Freetext Keywords: Keywords:Finite element method ;Adaptive Cross Approximation hp-adaptivity ; Open region scattering problems ;Fast method
Faculty: E.T.S.I. de Sistemas Informáticos (UPM)
Department: Sistemas Informáticos
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

ABSTRACT To alleviate the computational bottleneck of a powerful two-dimensional self-adaptive hp finite element method (FEM) for the analysis of open region problems, which uses an iterative computation of the Integral Equation over a fictitious boundary for truncating the FEM domain, we propose the use of Adaptive Cross Approximation (ACA) to effectively accelerate the computation of the Integral Equation. It will be shown that in this context ACA exhibits a robust behavior, yields good accuracy and compression levels up to 90%, and provides a good fair control of the approximants, which is a crucial advantage for hp adaptivity. Theoretical and empirical results of performance (computational complexity) comparing the accelerated and non-accelerated versions of the method are presented. Several canonical scenarios are addressed to resemble the behavior of ACA with h, p and hp adaptive strategies, and higher order methods in general.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainTEC2007-65214/TCMUnspecifiedUnspecifiedUnspecified
Government of SpainTEC2010-18175/TCMUnspecifiedUnspecifiedUnspecified
Government of SpainEC2013-47753-C3-2UnspecifiedUnspecifiedUnspecified
Government of SpainRTC 2014-23 80-4UnspecifiedUnspecifiedUnspecified

More information

Item ID: 46082
DC Identifier: http://oa.upm.es/46082/
OAI Identifier: oai:oa.upm.es:46082
DOI: 10.1016/j.camwa.2016.02.030
Official URL: http://www.sciencedirect.com/science/article/pii/S0898122116300840
Deposited by: Memoria Investigacion
Deposited on: 01 Jun 2017 17:28
Last Modified: 20 Mar 2019 18:40
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