Geodesic
On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation
Applications of Mathematics, Tome 34 (1989) no. 6, pp. 480-499

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The solvability of time-harmonic Maxwell equations in the 3D-case with nonhomogeneous conductivities is considered by adapting Sobolev space technique and variational formulation of the problem in question. Moreover, a finite element approximation is presented in the 3D-case together with an error estimate in the energy norm. Some remarks are given to the 2D-problem arising from geophysics.
DOI : 10.21136/AM.1989.104379
Classification : 35Q20, 35Q99, 35R05, 65N15, 65N30, 65Z05, 78A25
Keywords: time-harmonic Maxwell equations; non-homogeneous conductivities; three- dimensional problem; error estimation; finite element approximation; numerical experiments; solution theory 
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     title = {On time-harmonic {Maxwell} equations with nonhomogeneous conductivities: {Solvability} and {FE-approximation}},
     journal = {Applications of Mathematics},
     pages = {480--499},
     publisher = {mathdoc},
     volume = {34},
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Křížek, Michal; Neittaanmäki, Pekka. On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation. Applications of Mathematics, Tome 34 (1989) no. 6, pp. 480-499. doi: 10.21136/AM.1989.104379

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