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Algebraic Multigrid For Discrete Differential Forms

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Title: Algebraic Multigrid For Discrete Differential Forms
Author(s): Bell, William N.
Subject(s): computer graphics numerical analysis
Abstract: Discrete dierential forms arise in scientic disciplines ranging from computational electromagnetics to computer graphics. Examples include stable discretizations of the eddy-current problem, topological methods for sensor network coverage, visualization of complex ows, surface parameterization, and the design of vector elds on meshes. In this thesis we describe e cient and scalable numerical solvers for discrete k-form problems. Our approach is based on the principles of algebraic multigrid (AMG) which is designed to solve large-scale linear systems with optimal, or near-optimal e ciency. Since the k-form problems to be solved are arbitrarily large, the need for scalable numerical solvers is clear.
Issue Date: 2008-08
Genre: Technical Report
Type: Text
Other Identifier(s): UIUCDCS-R-2008-2986
Rights Information: You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the University of Illinois at Urbana-Champaign Computer Science Department under terms that include this permission. All other rights are reserved by the author(s).
Date Available in IDEALS: 2009-04-23

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