University of Illinois Urbana-Champaign

Algebraic Multigrid For Discrete Differential Forms

Bell, William N.

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Algebraic Multigrid For Discrete Differential Forms.pdf

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https://hdl.handle.net/2142/11474

Description

Title
Algebraic Multigrid For Discrete Differential Forms
Author(s)
Bell, William N.
Issue Date
2008-08
Keyword(s)
  • computer graphics
  • numerical analysis
Date of Ingest
2009-04-23T14:47:32Z
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.
Type of Resource
text
Genre of Resource
Technical Report
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http://hdl.handle.net/2142/11474
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