Error estimates for the time discretization for nonlinear Maxwell's equations
- Author
- Marian Slodicka (UGent) and Jan Busa (UGent)
- Organization
- Abstract
- This paper is devoted to the study of a nonlinear evolution eddy current model of the type partial derivative B-t(H) + del x (del x H) = 0 subject to homogeneous Dirichlet boundary conditions H x nu = 0 and a given initial datum. Here, the magnetic properties of a soft ferromagnet are linked by a nonlinear material law described by B(H). We apply the backward Euler method for the time discretization and we derive the error estimates in suitable function spaces. The results depend on the nonlinearity of B(H).
- Keywords
- nonlinear eddy current problem, electromagnetic field, time discretization, error estimate, EDDY-CURRENT PROBLEMS, CRITICAL-STATE MODEL, II SUPERCONDUCTORS, SCHEME
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-668654
- MLA
- Slodicka, Marian, and Jan Busa. “Error Estimates for the Time Discretization for Nonlinear Maxwell’s Equations.” JOURNAL OF COMPUTATIONAL MATHEMATICS, vol. 26, no. 5, 2008, pp. 677–88.
- APA
- Slodicka, M., & Busa, J. (2008). Error estimates for the time discretization for nonlinear Maxwell’s equations. JOURNAL OF COMPUTATIONAL MATHEMATICS, 26(5), 677–688.
- Chicago author-date
- Slodicka, Marian, and Jan Busa. 2008. “Error Estimates for the Time Discretization for Nonlinear Maxwell’s Equations.” JOURNAL OF COMPUTATIONAL MATHEMATICS 26 (5): 677–88.
- Chicago author-date (all authors)
- Slodicka, Marian, and Jan Busa. 2008. “Error Estimates for the Time Discretization for Nonlinear Maxwell’s Equations.” JOURNAL OF COMPUTATIONAL MATHEMATICS 26 (5): 677–688.
- Vancouver
- 1.Slodicka M, Busa J. Error estimates for the time discretization for nonlinear Maxwell’s equations. JOURNAL OF COMPUTATIONAL MATHEMATICS. 2008;26(5):677–88.
- IEEE
- [1]M. Slodicka and J. Busa, “Error estimates for the time discretization for nonlinear Maxwell’s equations,” JOURNAL OF COMPUTATIONAL MATHEMATICS, vol. 26, no. 5, pp. 677–688, 2008.
@article{668654,
abstract = {{This paper is devoted to the study of a nonlinear evolution eddy current model of the type partial derivative B-t(H) + del x (del x H) = 0 subject to homogeneous Dirichlet boundary conditions H x nu = 0 and a given initial datum. Here, the magnetic properties of a soft ferromagnet are linked by a nonlinear material law described by B(H). We apply the backward Euler method for the time discretization and we derive the error estimates in suitable function spaces. The results depend on the nonlinearity of B(H).}},
author = {{Slodicka, Marian and Busa, Jan}},
issn = {{0254-9409}},
journal = {{JOURNAL OF COMPUTATIONAL MATHEMATICS}},
keywords = {{nonlinear eddy current problem,electromagnetic field,time discretization,error estimate,EDDY-CURRENT PROBLEMS,CRITICAL-STATE MODEL,II SUPERCONDUCTORS,SCHEME}},
language = {{eng}},
number = {{5}},
pages = {{677--688}},
title = {{Error estimates for the time discretization for nonlinear Maxwell's equations}},
volume = {{26}},
year = {{2008}},
}