Group Guettel

Group Description
3D Transient Electromagnetic Modelleing, Stefan Guettel, Univ Manchester

The TEM problem relates to the time-dependent modelling of a transient
electromagnetic field in geophysical exploration. The set contains a
matrix pencil (C,M) and an initial value vector q, corresponding to a
Nedelec finite element discretization of Maxwell's equations for the
electric field density e(t). The curl-curl matrix C is symmetric
positive semi-definite and the mass matrix M is symmetric positive
definite. The problem to be solved is a linear initial value problem

   M*e'(t) = C*e(t),  M*e(0) = q,

for logarithmically distributed time points t in the interval
[1e-6,1e-3].

There are three test sets which are described in the following
publication:

@article{BEG2015,
  title={Three-dimensional transient electromagnetic modelling using
    rational {K}rylov methods},
  author={B{\"o}rner, Ralph-Uwe and Ernst, Oliver G and G{\"u}ttel,
    Stefan},
  journal={Geophysical Journal International},
  volume={202},
  number={3},
  pages={2025--2043},
  year={2015},
  publisher={Oxford University Press}
}

The problem details are

TEM27623: section 5.1 in the above paper; layered half-space problem
discretized by 24582 tetrahedral elements of order 1 giving rise to
27623 degrees of freedom.

TEM152078: section 5.1 in the above paper; layered half-space problem
discretized by 24582 tetrahedral elements of order 2 giving rise to
152078 degrees of freedom.

TEM181302: section 5.2 in the above paper; homogeneous subsurface with
topography discretized by 28849 tetrahedral elements of order 2 giving
rise to 181302 degrees of freedom.
Displaying all 3 matrices
Id Name Group Rows Cols Nonzeros Kind Date Download File
2811 TEM27623 Guettel 27,623 27,623 439,469 Electromagnetics Problem 2015 MATLAB Rutherford Boeing Matrix Market
2812 TEM152078 Guettel 152,078 152,078 6,459,326 Electromagnetics Problem 2015 MATLAB Rutherford Boeing Matrix Market
2813 TEM181302 Guettel 181,302 181,302 7,839,010 Electromagnetics Problem 2015 MATLAB Rutherford Boeing Matrix Market