On the use of a differentiated finite element package for sensitivity analysis

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2073, Issue , 2001, Pages 795-801

  Bischof, Christian H ^a   Bücker, H Martin ^a   Lang, Bruno ^a   Rasch, Arno ^a   Risch, Jakob W ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FINITE ELEMENT METHOD; FLOW OF FLUIDS;

APPROXIMATION ERRORS; AUTOMATIC DIFFERENTIATIONS; COMPUTATIONAL SCIENCE; COMPUTER MODELING; COMPUTER MODELS; FINITE ELEMENT PACKAGES; PARAMETER OPTIMIZATION; SCIENTIFIC INVESTIGATION;

SENSITIVITY ANALYSIS;

EID: 23044526185     PISSN: 03029743     EISSN: 16113349     Source Type: Journal    
DOI: 10.1007/3-540-45545-0_91     Document Type: Article

References (14)

1. M. Berz, C. Bischof, G. Corliss, and A. Griewank. Computational Differentiation: Techniques, Applications, and Tools. SIAM, Philadelphia, 1996.
2. C. Bischof, A. Carle, P. Khademi, and A. Mauer. ADIFOR 2.0: Automatic Differentiation of Fortran 77 programs. IEEE Computational Science & Engineering, 3(3):18-32, 1996.
3. E. G. T. Bosch and C. J. M. Lasance. High accuracy thermal interface resistance measurement using a transient method. Electronics Cooling Magazine, 6(3), 2000.
4. G. Corliss, A. Griewank, C. Faure, L. Hascöet, and U. Naumann, editors. Automatic Differentiation 2000: From Simulation to Optimization. Springer, 2001. To appear.
5. A. Griewank. Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation. SIAM, Philadelphia, 2000.
6. A. Griewank and G. Corliss. Automatic Differentiation of Algorithms. SIAM, Philadelphia, 1991.
7. G. Segal. SEPRAN Standard Problems. Ingenieursbureau Sepra, Leidschendam, NL, 1993.
8. G. Segal. SEPRAN Users Manual. Ingenieursbureau Sepra, Leidschendam, NL, 1993.
9. G. Segal, C. Vuik, and F. Vermolen. A conserving discretization for the free boundary in a two-dimensional Stefan problem. Journal of Computational Physics, 141(1):1-21, 1998.
10. A. P. van den Berg, P. E. van Keken, and D. A. Yuen. The effects of a composite non-Newtonian and Newtonian rheology on mantle convection. Geophys. J. Int., 115:62-78, 1993.
11. P. van Keken, D. A. Yuen, and L. Petzold. DASPK: a new high order and adaptive time-integration technique with applications to mantle convection with strongly temperature- and pressure-dependent rheology. Geophysical & Astrophysical Fluid Dynamics, 80:57-74, 1995.
12. P. E. van Keken, C. J. Spiers, A. P. van den Berg, and E. J. Muyzert. The effective viscosity of rocksalt: implementation of steady-state creep laws in numerical models of salt diapirism. Tectonophysics, 225:457-476, 1993.
13. N. J. Vlaar, P. E. van Keken, and A. P. van den Berg. Cooling of the Earth in the Archaean: consequences of pressure-release melting in a hot mantle. Earth Plan. Sci. Lett., 121:1-18, 1994.
14. C. Vuik, A. Segal, and F. J. Vermolen. A conserving discretization for a Stefan problem with an interface reaction at the free boundary. Computing and Visualization in Science, 3(1/2):109-114, 2000.