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Multilevel gauging for edge elements

delete2000-03-16
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PRE
AI
R
Ralf Hiptmair
DOI：10.1007/s006070050005delete
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Abstract

Abstract

En 中文
The vector potential of a solenoidal vector field, if it exists, is not unique in general. Any procedure that aims to determine such a vector potential typically involves a decision on how to fix it. This is referred to by the term gauging. Gauging is an important issue in computational electromagnetism, whenever discrete vector potentials have to be computed. In this paper a new gauging algorithm for discrete vector potentials is introduced that relies on a hierarchical multilevel decomposition. With minimum computational effort it yields vector potentials whose L-2-norm does not severely blow up. Thus the new approach compares favorably to the widely used co-tree gauging.
Keywords:
computational electromagnetism
edge elements
hierarchical bases
multilevel decomposition
vector potentials
gauging

Journal

C
Computing
IF:
2.8
Papers:
2.3K
Citations:
3.5K

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