Guettel/TEM152078
3D transient electromagnetic modelling, S. Guettel, Univ Manchester
Name 
TEM152078 
Group 
Guettel 
Matrix ID 
2812 
Num Rows

152,078 
Num Cols

152,078 
Nonzeros

6,459,326 
Pattern Entries

6,459,326 
Kind

Electromagnetics Problem 
Symmetric

Yes 
Date

2015 
Author

R.U. B\"orner, O. G. Ernst, S. G\"uttel 
Editor

T. Davis 
Structural Rank 
152,078 
Structural Rank Full 
true 
Num Dmperm Blocks

1 
Strongly Connect Components

1 
Num Explicit Zeros

0 
Pattern Symmetry

100% 
Numeric Symmetry

100% 
Cholesky Candidate

yes 
Positive Definite

no 
Type

real 
Download 
MATLAB
Rutherford Boeing
Matrix Market

Notes 
3D Transient Electromagnetic Modelleing, Stefan Guettel, Univ Manchester
The TEM problem relates to the timedependent 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 curlcurl matrix C is symmetric
positive semidefinite 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
[1e6,1e3].
There are three test sets which are described in the following
publication:
@article{BEG2015,
title={Threedimensional transient electromagnetic modelling using
rational {K}rylov methods},
author={B{\"o}rner, RalphUwe and Ernst, Oliver G and G{\"u}ttel,
Stefan},
journal={Geophysical Journal International},
volume={202},
number={3},
pages={20252043},
year={2015},
publisher={Oxford University Press}
}
The problem details are
TEM27623: section 5.1 in the above paper; layered halfspace 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 halfspace 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.
In the SuiteSparse Matrix Collection, the primary matrix Problem.A is
the matrix C in the TEM* problems. The M matrix appears as
Problem.aux.M, and the q vector is Problem.aux.q.
