# On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation

Michal Křížek; Pekka Neittaanmäki

Aplikace matematiky (1989)

- Volume: 34, Issue: 6, page 480-499
- ISSN: 0862-7940

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topKřížek, Michal, and Neittaanmäki, Pekka. "On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation." Aplikace matematiky 34.6 (1989): 480-499. <http://eudml.org/doc/15604>.

@article{Křížek1989,

abstract = {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.},

author = {Křížek, Michal, Neittaanmäki, Pekka},

journal = {Aplikace matematiky},

keywords = {time-harmonic Maxwell equations; non-homogeneous conductivities; three- dimensional problem; error estimation; finite element approximation; numerical experiments; solution theory; time-harmonic Maxwell equations; non-homogeneous conductivities; three- dimensional problem; error estimation; finite element approximation; numerical experiments},

language = {eng},

number = {6},

pages = {480-499},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation},

url = {http://eudml.org/doc/15604},

volume = {34},

year = {1989},

}

TY - JOUR

AU - Křížek, Michal

AU - Neittaanmäki, Pekka

TI - On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation

JO - Aplikace matematiky

PY - 1989

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 34

IS - 6

SP - 480

EP - 499

AB - 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.

LA - eng

KW - time-harmonic Maxwell equations; non-homogeneous conductivities; three- dimensional problem; error estimation; finite element approximation; numerical experiments; solution theory; time-harmonic Maxwell equations; non-homogeneous conductivities; three- dimensional problem; error estimation; finite element approximation; numerical experiments

UR - http://eudml.org/doc/15604

ER -

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