1. Improved Equilibrated Error Estimates for Open Boundary Magnetostatic Problems Based on Dual A and H Formulations.
- Author
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Zhao, Yanpu and Tang, Zuqi
- Subjects
BENCHMARK problems (Computer science) ,ESTIMATES ,MAGNETIC fields ,ERROR ,ELECTRIC inductance ,ELECTROMAGNETISM - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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