Improved Equilibrated Error Estimates for Open Boundary Magnetostatic Problems Based on Dual A and H Formulations

Calculating the bounds of global energy is an important issue in computational electromagnetism, which can provide guaranteed results when extracting inductance parameters. In this paper, an improved equilibrated type a posteriori error estimate for open boundary magnetostatic problems is proposed....

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Bibliographic Details
Published in:IEEE transactions on magnetics 2019-06, Vol.55 (6), p.1-5
Main Authors: Zhao, Yanpu, Tang, Zuqi
Format: Article
Language:English
Subjects:
A <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">posteriori error estimate
Analysis of PDEs
Benchmark testing
Computational efficiency
Conferences
dual formulations
Electromagnetism
Engineering Sciences
equilibrated flux
Errors
Finite element method
Formulations
Inductance
Magnetic domains
Magnetism
magnetostatic field
Magnetostatics
Mathematical model
Mathematics
Nonlinear programming
Numerical Analysis
parallel sparse direct solvers
Solvers
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Summary:Calculating the bounds of global energy is an important issue in computational electromagnetism, which can provide guaranteed results when extracting inductance parameters. In this paper, an improved equilibrated type a posteriori error estimate for open boundary magnetostatic problems is proposed. We derive our error estimator based on vector dual formulations, which can be efficiently solved using parallel sparse direct solvers. The new estimator can provide a sharp and guaranteed estimate of the finite-element spatial discretization error. Moreover, the computational cost is cheaper than using existing equilibrated error estimators. Numerical experiments are carried out to showcase the performance of our error estimator, including the modified TEAM workshop problem 13 and the benchmark IEEJ problem.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2019.2894058