Summary
This paper is devoted to the construction and analysis of robust solution techniques for time-harmonic eddy current problems in unbounded domains. We discretize the time-harmonic eddy current equation by means of a symmetrically coupled finite and boundary element method, taking care of the different physical behavior in conducting and non-conducting subdomains, respectively. We construct and analyse a block-diagonal preconditioner for the system of coupled finite and boundary element equations that is robust with respect to the space discretization parameter as well as all involved “bad” parameters like the frequency, the conductivity and the reluctivity. Block-diagonal preconditioners can be used for accelerating iterative solution methods such like the Minimal Residual Method.
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Keywords
- Boundary Element Method
- Unbounded Domain
- Diagonal Block
- Domain Decomposition Method
- Iterative Solution Method
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Kolmbauer, M., Langer, U. (2013). A Robust FEM-BEM Solver for Time-Harmonic Eddy Current Problems. In: Bank, R., Holst, M., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35275-1_34
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DOI: https://doi.org/10.1007/978-3-642-35275-1_34
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