Articles with "curl curl" as a keyword



Existence Solution for Curl–Curl Kirchhoff Problem

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Published in 2018 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-018-0487-9

Abstract: This paper deals with the existence solution for the nonlinear curl–curl Kirchhoff problem: $$\begin{aligned} M \left( \displaystyle \int \limits _{{{\mathrm{{\mathbb {R}}}}}^3} \left( \left| \nabla \times U \right| ^{2}+V(x)\left| U\right| ^{2} \right) dx \right) \left( \nabla… read more here.

Keywords: curl curl; mathrm mathbb; existence solution; mathrm ... See more keywords

Finite volume discretization of curl-curl operator to compute magnetic field in low frequency approximation

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Published in 2025 at "COMPEL - The international journal for computation and mathematics in electrical and electronic engineering"

DOI: 10.1108/compel-10-2024-0429

Abstract: The most used numerical method in electrical engineering resources is the finite element method (FEM). This paper aims to present the use of the finite volume method to solve differential systems that contain the curl-curl… read more here.

Keywords: curl curl; curl operator; finite volume; approximation ... See more keywords

Non-Conforming Nitsche Interfaces for Edge Elements in Curl–Curl-Type Problems

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Published in 2020 at "IEEE Transactions on Magnetics"

DOI: 10.1109/tmag.2020.2980477

Abstract: In this article, a methodology to incorporate non-conforming interfaces between several conforming mesh regions is presented for Maxwell’s curl–curl problem. The derivation starts from a general interior penalty discontinuous Galerkin formulation of the curl–curl problem… read more here.

Keywords: interfaces edge; conforming nitsche; non conforming; nitsche interfaces ... See more keywords