Geodesic
Existence and uniqueness of a solution for a field/circuit coupled problem
Slodička, Marian1 ; Vrábel’, Vladimír1
1 Department of Mathematical Analysis, Research group of Numerical Analysis and Mathematical Modeling (NaM2), Ghent University, Ghent, Belgium.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 3, pp. 1045-1061

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In this paper we show unique solvability of an abstract coupled problem which originates from a field/circuit coupled problem. The coupled problem arises in particular from modified nodal analysis equations linked with an eddy current problem via solid conductor model. The proof technique in the paper relies on Rothe’s method and the theory of monotone operator. We also provide error estimates for time discretization.

Reçu le :
Accepté le :
DOI : 10.1051/m2an/2016052
Classification : 47N20, 65M12, 65M20
Keywords: Coupled problem, field/circuit, uniqueness, convergence, time discretization

Slodička, Marian 1 ; Vrábel’, Vladimír 1

1 Department of Mathematical Analysis, Research group of Numerical Analysis and Mathematical Modeling (NaM2), Ghent University, Ghent, Belgium. 
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     title = {Existence and uniqueness of a solution for a field/circuit coupled problem},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1045--1061},
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Slodička, Marian; Vrábel’, Vladimír. Existence and uniqueness of a solution for a field/circuit coupled problem. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 3, pp. 1045-1061. doi: 10.1051/m2an/2016052

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