SCI Publications
1998
C.R. Johnson, R.S. MacLeod.
“Adaptive local regularization methods for the inverse ECG problem,” In Progress in Biophysics and Biochemistry, Vol. 69, No. 2/3, pp. 405. Dec, 1998.
C.R. Johnson.
“Computer Visualization in Medicine,” In National Forum, Vol. Fall, pp. 17--21. 1998.
C.R. Johnson, M. Berzins, L. Zhukov, R. Coffey.
“SCIRun: Applications to Atmospheric Diffusion Using Unstructured Meshes,” In Numerical Methods for Fluid Dynamics VI, Edited by M.J. Baines, Oxford University Press, pp. 111--122. 1998.
G. Kindlmann, J. Durkin.
“Semi-Automatic Generation of Transfer Functions for Direct Volume Rendering,” In IEEE Symposium on Volume Visualization, IEEE Press, pp. 79--86. Oct, 1998.
Y. Livnat, C.D. Hansen.
“View Dependent Isosurface Extraction,” In IEEE Visualization '98, pp. 175--180. Oct, 1998.
M. Miller, C.D. Hansen, C.R. Johnson.
“Simulation Steering with SCIRun in a Distributed Memory Environment,” In Lecture Notes in Computer Science, Springer-Verlag, In Applied Parallel Computing, 4th International Workshop, PARA'98, Lecture Notes in Computer Science, Vol. 1541, Edited by B. Kagstrom and J. Dongarra and E. Elmroth and J. Wasniewski, Springer-Verlag, Berlin pp. 366--376. 1998.
M. Miller, C.D. Hansen, S.G. Parker, C.R. Johnson.
“Simulation Steering with SCIRun in a Distributed Memory Environment,” In Seventh IEEE International Symposium on High Performance Distributed Computing (HPDC-7), Jul, 1998.
J. Pan, C.G.W. Sheppard, A. Tindall, M. Berzins, S.V. Pennington, J.M. Ware.
“End Gas Inhomogeneity, Autoignition and Knock,” SAE meeting technical report, San Fransisco, CA, No. 982616, SAE, 1998.
S.G. Parker, P. Shirley, Y. Livnat, C.D. Hansen, P.-P. Sloan.
“Interactive Ray Tracing for Isosurface Extraction,” In IEEE Visualization '98, pp. 233--238. October, 1998.
S.G. Parker, P. Shirley, B. Smits.
“Single Sample Soft Shadows,” School of Computing Technical Report, No. UUCS-98-019, University of Utah, October, 1998.
S.G. Parker, M. Miller, C.D. Hansen, C.R. Johnson, P.-P. Sloan.
“An Integrated Problem Solving Environment: The SCIRun Computational Steering System,” In 31st Hawaii International Conference on System Sciences (HICSS-31), Vol. VII, Edited by H. El-Rewini, pub-IEEE, pp. 147--156. January, 1998.
G.F. Potts, D.M. Weinstein, B.F. O'Donnell M.E., C.R. Johnson, R.W. McCarley.
“Bioelectric Modeling of the P300 in Schizophrenia,” In Biological Psychiatry (suppl.), pp. 396. 1998.
G.F. Potts, C.G. Wible, M.E. Shenton, D.M. Weinstein, I.A. Fisher, M.E. Levention, L.D. Gugino, R.W. McCarley.
“Localization of Visual Cortex with Coregistered Functional Magnetic Resonance Imaging, Bioelectrically Modeled Cortical Visual Evoked Potential, and Transcranial Magnetic Stimulation Induced Visual Suppression,” In Journal of Cognitive Neuroscience (suppl.), pp. 42. 1998.
M.A. Puso, J.A. Weiss.
“Finite Element Implementation of Anisotropic Quasilinear Viscoelasticity Using a Discrete Spectrum Approximation,” In Journal of Biomechanical Engineering, Vol. 120, pp. 62--70. 1998.
K.M. Quapp, J.A. Weiss.
“Material Characterization of Human Medial Collateral Ligament,” In Journal of Biomechanical Engineering, Vol. 120, pp. 757--763. 1998.
M. Richards, J.A. Goulet, J.A. Weiss, N.A. Waanders, M.B. Schaffler, S.A. Goldstein.
“Bone Regeneration and Fracture Healing: Experience with Distraction Osteogenesis Model,” In Clinical Orthopaedics and Related Research, Vol. 355S, pp. 191--204. 1998.
P.Selwood, M.Berzins, J. Nash, P.M. Dew.
“Portable Parallel Adaptation of Unstructured Tetrahedral Meshes,” In Proceedings of Irregular 98 Conference, Lecture Notes in Computer Science (LNCS), Vol. 1457, Edited by A. Ferreira et al., Springer, pp. 56--67. 1998.
P.A. Sleigh, M. Berzins, P.H. Gaskell, N.G. Wright.
“An Unstructured Finite Volume Algorithm for Predicting Flow in Rivers and Estuaries,” In Computers and Fluids, Vol. 27, No. 4, pp. 479--508. 1998.
P.P.J. Sloan, D.M. Weinstein, J.D. Brederson.
“Importance Driven Texture Coordinate Optimization,” In Eurographics 98, Sep, 1998.
M. Sosonkina, L.T. Watson, R.K. Kapania, H.F. Walker.
“A new adaptive GMRES algorithm for achieving high accuracy,” In Numerical Linear Algebra and Applications, Vol. 5, No. 4, pp. 275--297. 1998.
DOI: 10.1002/(SICI)1099-1506(199807/08)5:43.0.CO;2-B
GMRES(k) is widely used for solving non-symmetric linear systems. However, it is inadequate either when it converges only for k close to the problem size or when numerical error in the modified Gram–Schmidt process used in the GMRES orthogonalization phase dramatically affects the algorithm performance. An adaptive version of GMRES(k) which tunes the restart value k based on criteria estimating the GMRES convergence rate for the given problem is proposed here. This adaptive GMRES(k) procedure outperforms standard GMRES(k), several other GMRES-like methods, and QMR on actual large scale sparse structural mechanics postbuckling and analog circuit simulation problems. There are some applications, such as homotopy methods for high Reynolds number viscous flows, solid mechanics postbuckling analysis, and analog circuit simulation, where very high accuracy in the linear system solutions is essential. In this context, the modified Gram–Schmidt process in GMRES, can fail causing the entire GMRES iteration to fail. It is shown that the adaptive GMRES(k) with the orthogonalization performed by Householder transformations succeeds whenever GMRES(k) with the orthogonalization performed by the modified Gram–Schmidt process fails, and the extra cost of computing Householder transformations is justified for these applications.