An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems

@article{Gedicke2020AnEA,
  title={An Equilibrated a Posteriori Error Estimator for Arbitrary-Order N{\'e}d{\'e}lec Elements for Magnetostatic Problems},
  author={J. Gedicke and Sjoerd Geevers and I. Perugia},
  journal={Journal of Scientific Computing},
  year={2020},
  volume={83}
}
  • J. Gedicke, Sjoerd Geevers, I. Perugia
  • Published 2020
  • Mathematics, Computer Science, Medicine
  • Journal of Scientific Computing
  • We present a novel a posteriori error estimator for Nédélec elements for magnetostatic problems that is constant-free, i.e. it provides an upper bound on the error that does not involve a generic constant. The estimator is based on equilibration of the magnetic field and only involves small local problems that can be solved in parallel. Such an error estimator is already available for the lowest-degree Nédélec element (Braess and Schöberl in Math Comput 77(262):651-672, 2008) and requires… CONTINUE READING
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    References

    SHOWING 1-10 OF 26 REFERENCES
    Robust a posteriori error estimation for finite element approximation to H(curl) problem
    • 4
    • PDF
    Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems
    • 3
    • PDF
    Residual based a posteriori error estimators for eddy current computation
    • 209
    • Highly Influential
    • PDF
    Residual and equilibrated error estimators for magnetostatic problems solved by finite element method
    • 20
    • PDF
    Equilibrated residual error estimator for edge elements
    • 170
    • Highly Influential
    • PDF
    Guaranteed Error Bounds for Conforming Approximations of a Maxwell Type Problem
    • 10
    Hierarchical Error Estimator for Eddy Current Computation
    • 36
    About the gauge conditions arising in Finite Element magnetostatic problems
    • 5
    • PDF