Finite Element Approximation of the Spectrum of the Curl Operator in a Multiply Connected Domain
Sign Up to like & getrecommendations! Published in 2018 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-018-9373-4
Abstract: In this paper we are concerned with two topics: the formulation and analysis of the eigenvalue problem for the $$\mathop {\mathbf {curl}}\nolimits $$curl operator in a multiply connected domain and its numerical approximation by means… read more here.
Keywords: connected domain; operator multiply; multiply connected; curl operator ... See more keywords
Path Integrals in a Multiply-Connected Configuration Space (50 Years After)
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DOI: 10.1007/s10701-021-00497-y
Abstract: The proposal made 50 years ago by Schulman (1968), Laidlaw & Morette-DeWitt (1971) and Dowker (1972) to decompose the propagator according to the homotopy classes of paths was a major breakthrough: it showed how Feynman… read more here.
Keywords: configuration; integrals multiply; configuration space; multiply connected ... See more keywords
An efficient automated higher-order finite element computation technique using parabolic arcs for planar and multiply-connected energy problems
Sign Up to like & getrecommendations! Published in 2019 at "Energy"
DOI: 10.1016/j.energy.2019.06.187
Abstract: A two-dimensional efficient and most accurate subparametric higher-order finite element technique are offered in this paper for some energy problems. It is used for the computation of eigenvalues over planar and multiply connected curved domains.… read more here.
Keywords: order finite; order; multiply connected; finite element ... See more keywords
Multiply connected wandering domains of meromorphic functions: the pursuit of uniform internal dynamics
Sign Up to like & getrecommendations! Published in 2023 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2023.27
Abstract: Recently, Benini et al showed that, in simply connected wandering domains of entire functions, all pairs of orbits behave in the same way relative to the hyperbolic metric, thus giving us our first insight into… read more here.
Keywords: internal dynamics; connected wandering; domains meromorphic; multiply connected ... See more keywords
Hyperbolic Metric and Multiply Connected Wandering Domains of Meromorphic Functions
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091516000377
Abstract: Abstract In this paper, in terms of the hyperbolic metric, we give a condition under which the image of a hyperbolic domain of an analytic function contains a round annulus centred at the origin. From… read more here.
Keywords: connected wandering; meromorphic functions; wandering domains; multiply connected ... See more keywords
Magnetic helicity in multiply connected domains
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Plasma Physics"
DOI: 10.1017/s0022377819000576
Abstract: Magnetic helicity is a fundamental quantity of magnetohydrodynamics that carries topological information about the magnetic field. By ‘topological information’, we usually refer to the linkage of magnetic field lines. For domains that are not simply… read more here.
Keywords: helicity multiply; multiply connected; topology; connected domains ... See more keywords
Critical field behavior of a multiply connected superconductor in a tilted magnetic field
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.174505
Abstract: We report magnetotransport measurements of the critical field behavior of thin Al films deposited onto multiply connected substrates. The substrates were fabricated via a standard electrochemical process that produced a triangular array of 66-nm-diameter holes… read more here.
Keywords: critical field; field; multiply connected; field behavior ... See more keywords
A Complete Helmholtz Decomposition on Multiply Connected Subdivision Surfaces and Its Application to Integral Equations
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2022.3209280
Abstract: The analysis of electromagnetic (EM) scattering in the isogeometric analysis (IGA) framework based on the Loop subdivision has long been restricted to simply connected geometries. The inability to analyze multiply connected objects is a glaring… read more here.
Keywords: free curl; basis; basis set; divergence free ... See more keywords
3-D BEM Formulations for Eddy-Current Problems With Multiply-Connected Domains and Circuit Coupling
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DOI: 10.1109/tmag.2019.2954323
Abstract: Quasi-static linear problems can be solved efficiently with the boundary-element method (BEM). This method is based on the surface integral equations dealing with the equivalent magnetic and electric surface current densities. Many works have shown… read more here.
Keywords: bem formulations; eddy current; formulations eddy; multiply connected ... See more keywords
Solving the Problem of Bending of Multiply Connected Plates with Elastic Inclusions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Mechanics and Technical Physics"
DOI: 10.1134/s0021894417060190
Abstract: This paper describes a method for determining the strain state of a thin anisotropic plate with elastic arbitrarily arranged elliptical inclusions. Complex potentials are used to reduce the problem to determining functions of generalized complex… read more here.
Keywords: solving problem; bending multiply; elastic inclusions; multiply connected ... See more keywords