Bibliography

1

Auth, C. and Harder, H.
Multigrid solution of convection problems with strongly variable viscosity.
Geophysical Journal International, 137:793-804, 1999.

2

Blankenbach, B. and et. al.
A benchmark comparison for mantle convection codes.
Geophysical Journal International, 98:23-38, 1989.

3

Boyer, Franck, Lapuerta, Céline, Minjeaud, Sébastian, and Piar, Bruno.
A local adaptive refinement method with multigrid preconditionning illustrated by multiphase flows simulations.
volume 27, pages 15-53. INRIA a CCSD electronic archive server based on P.A.O.L [http://hal.inria.fr/oai/oai.php] (France), 2009.
published on-line.

4

Briggs, W., Henson, V., and McCormick, S.
A Multigrid Tutorial.
SIAM, 2000.

5

CitcomS: A finite element code for thermal convection problems relevant to earth’s mantle.
http://www.geodynamics.org/cig/software/packages/mc/citcoms/.

6

Devillard, N. and Chudnovsky, V.
Run-time function call tree with gcc.
http://ndevilla.free.fr/etrace, March 8 2004.

7

Dikov, V.
Multigrid methods for solving differential equations.
Technical report, Ferien Akademie, September 2005.

8

Doxygen: Source code documentation generator tool.
http://www.doxygen.org/.

9

HECToR: UK national supercomputing service.
http://www.hector.ac.uk/.

10

Krysl, P., Grinspun, E., and Schröder, P.
Natural hierarchical refinement for finite element methods.
Internat. J. Numer. Methods Engrg., 56(8):1109-1124, 2003.

11

Moresi, L. and Gurnis, M.
Constraints on the literal strength of slabs from three-dimensional dynamic flow models.
Earth Plan. Sci. Let., 138:15-28, 1996.

12

Moresi, L. and Solomatov, V. S.
Numerical investigation of 2d convection with extremely large viscosity variations.
Phys. Fluids, 7(9):2154-2162, 1995.

13

Gnuplot.
http://www.gnuplot.info/.

14

Wessel, P. and Smith, W. H. F.
The generic mapping tools (gmt).
http://gmt.soest.hawaii.edu/.

15

Zhong, S., Zuber, M. T., Moresi, L. N., and Gurnis, M.
The role of temperature dependent viscosity and surface plates in spherical shell models of mantle convection.
Journal of Geophysical Research, 105(B5):11063-11082, 2000.