Computational Technology Resources - CCP

Paper III.7

Hierarchical Preconditioners for Higher Order Elements and Applications in Computational Mechanics

A. Meyer

Fakultät für Mathematik, Technische Universität Chemnitz, Germany

doi:10.4203/ccp.57.3.7

A. Meyer, "Hierarchical Preconditioners for Higher Order Elements and Applications in Computational Mechanics", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 107-112, 1999. doi:10.4203/ccp.57.3.7

Abstract

From the very efficient use of hierarchical techniques for the quick solution of finite element equations in case of linear elements, we discuss the generalization of these preconditioners to higher order elements. Here, especially elements based on cubic polynomials require more complicate tasks such as the definition of ficticious spaces and the Ficticious Space Lemma. A numerical example demonstrates that iteration numbers similar to the linear case are obtained.

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 £70 +P&P)

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 57 DEVELOPMENTS IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING Edited by: B.H.V. Topping Paper III.7 Hierarchical Preconditioners for Higher Order Elements and Applications in Computational Mechanics A. Meyer Fakultät für Mathematik, Technische Universität Chemnitz, Germany doi:10.4203/ccp.57.3.7 purchase the full-text of this paper Full Bibliographic Reference for this paper A. Meyer, "Hierarchical Preconditioners for Higher Order Elements and Applications in Computational Mechanics", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 107-112, 1999. doi:10.4203/ccp.57.3.7 Abstract From the very efficient use of hierarchical techniques for the quick solution of finite element equations in case of linear elements, we discuss the generalization of these preconditioners to higher order elements. Here, especially elements based on cubic polynomials require more complicate tasks such as the definition of ficticious spaces and the Ficticious Space Lemma. A numerical example demonstrates that iteration numbers similar to the linear case are obtained. 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 £70 +P&P)
Back to top	©Civil-Comp Limited 2023 - terms & conditions