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H. Askes+ and A. Rodriguez-Farran#

+Koiter Institute Delft, Delft University of Technology, Delft, The Netherlands
#Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya, Barcelona, Spain

doi:10.4203/ccp.65.4.1

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H. Askes, A. Rodriguez-Farran, "An rh-adaptive Strategy based on Domain Subdivision and Error Assessment", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 95-102, 2000. doi:10.4203/ccp.65.4.1

Abstract

An adaptive scheme is proposed and formulated in which the domain is split into two subdomains. In the subdomain where the desired element sizes are close to the current element sizes, the nodal coordinates are optimised using r-adaptivity. In the subdomain where the desired element sizes differ importantly from the current element sizes, a completely new discretisation is built by means of h-adaptivity. The subdivision of the domain as well as the remeshing procedures for the two subdomains are based on error assessment. Linear, two-dimensional examples illustrate the concepts. It is shown that the combined rh-adaptive approach is more efficient than a purely h-adaptive approach and more flexible than a purely r-adaptive approach.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 65 FINITE ELEMENTS: TECHNIQUES AND DEVELOPMENTS Edited by: B.H.V. Topping Paper IV.1 An rh-adaptive Strategy based on Domain Subdivision and Error Assessment H. Askes+ and A. Rodriguez-Farran# +Koiter Institute Delft, Delft University of Technology, Delft, The Netherlands #Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya, Barcelona, Spain doi:10.4203/ccp.65.4.1 purchase the full-text of this paper Full Bibliographic Reference for this paper H. Askes, A. Rodriguez-Farran, "An rh-adaptive Strategy based on Domain Subdivision and Error Assessment", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 95-102, 2000. doi:10.4203/ccp.65.4.1 Abstract An adaptive scheme is proposed and formulated in which the domain is split into two subdomains. In the subdomain where the desired element sizes are close to the current element sizes, the nodal coordinates are optimised using r-adaptivity. In the subdomain where the desired element sizes differ importantly from the current element sizes, a completely new discretisation is built by means of h-adaptivity. The subdivision of the domain as well as the remeshing procedures for the two subdomains are based on error assessment. Linear, two-dimensional examples illustrate the concepts. It is shown that the combined rh-adaptive approach is more efficient than a purely h-adaptive approach and more flexible than a purely r-adaptive approach. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £80 +P&P)
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