Compatible Discretizations in Two Dimensions

Annalisa Buffa ()
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Annalisa Buffa: Istituto di Matematica Applicata e Tecnologie Informatiche del CNR

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 3-20 from Springer

Abstract: Abstract In this paper we recall the construction of the dual finite element complex introduced in [11] and we investigate some applications. More precisely, we propose and analyze fully compatible discretizations for the magnetostatics and the Darcy flow equations in two dimensions, and we introduce an optimal matching condition for domain decomposition methods for Maxwell equations in three dimensions.

Keywords: Maxwell Equation; Discrete Problem; Domain Decomposition Method; Dual Complex; Compatible Spatial (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_1

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DOI: 10.1007/978-3-540-34288-5_1

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