Matthias K. Gobbert

Publications

Reprints and Preprints

I have tried to provide reprints or preprints and links to the publishers' web services for many of my papers below. If you are interested in reprints or preprints of those or other papers and the links do not work for you, do not hesitate to contact me at gobbert@math.umbc.edu. Thank you for your interest. In the following list, student co-authors are indicated by superscripts, with UG for an undergraduate and G for a graduate student.

Articles in Peer-Reviewed Journals

  1. Matthias K. Gobbert, Michael Muscedere,G Thomas I. Seidman, and Raymond J. Spiteri. A Non-Negativity Preserving Newton Method for High-Order Implicit Time Stepping. Submitted.

  2. Matthias K. Gobbert. Long-Time Simulations on High Resolution Meshes to Model Calcium Waves in a Heart Cell. Submitted. Preprint in PDF-format.

  3. Shiming YangG and Matthias K. Gobbert. The Optimal Relaxation Parameter for the SOR Method Applied to the Poisson Equation in Any Space Dimensions. Applied Mathematics Letters, accepted (2008). Preprint in PDF-format.

  4. Matthias K. Gobbert and Timothy S. Cale. Modeling Multiscale Effects on Transients During Chemical Vapor Deposition. Surface and Coatings Technology, vol. 201, no. 22-23, pp. 8830-8837, 2007. Link to Elsevier's ScienceDirect Service for this article.

  5. Timothy S. Cale, Max O. Bloomfield,G and Matthias K. Gobbert. Two Deterministic Approaches to Topography Evolution. Surface and Coatings Technology, vol. 201, no. 22-23, pp. 8873-8877, 2007. Link to Elsevier's ScienceDirect Service for this article.

  6. Matthias K. Gobbert, Samuel G. Webster,G and Timothy S. Cale. A Galerkin Method for the Simulation of the Transient 2-D/2-D and 3-D/3-D Linear Boltzmann Equation. Journal of Scientific Computing, vol. 30, no. 2, pp. 237-273, 2007. Link to this article at SpringerLink and reprint in PDF-format.

  7. Matthias K. Gobbert and Timothy S. Cale. Effect of the Knudsen Number on Transient Times During Chemical Vapor Deposition. International Journal for Multiscale Computational Engineering, vol. 4, no. 3, pp. 319-335, 2006. Preprint in PDF-format.

  8. Matthias K. Gobbert and Timothy S. Cale. A Kinetic Transport and Reaction Model and Simulator for Rarefied Gas Flow in the Transition Regime. Journal of Computational Physics, vol. 213, pp. 591-612, 2006. Link to Elsevier's ScienceDirect Service for this article and reprint in PDF-format.

  9. Ana Maria Soane,G Matthias K. Gobbert, and Thomas I. Seidman. Numerical Exploration of a System of Reaction-Diffusion Equations with Internal and Transient Layers. Nonlinear Analysis: Real World Applications, vol. 6, no. 5, pp. 914-934, 2005. Link to Elsevier's ScienceDirect Service for this article and reprint in PDF-format.

  10. Matthias K. Gobbert. Configuration and Performance of a Beowulf Cluster for Large-Scale Scientific Simulations. Computing in Science and Engineering (CiSE), vol. 7, no. 2, pp. 14-26, March/April 2005. Link to IEEE's Xplore site for this article.

  11. Alexander L. Hanhart,G Matthias K. Gobbert, and Leighton T. Izu. A Memory-Efficient Finite Element Method for Systems of Reaction-Diffusion Equations with Non-Smooth Forcing. Journal of Computational and Applied Mathematics, vol. 169, no. 2, pp. 431-458, 2004. Link to Elsevier's ScienceDirect Service for this article and reprint in PDF-format.

  12. Matthias K. Gobbert and Christian Ringhofer. A Homogenization Technique for the Boltzmann Equation for Low Pressure Chemical Vapor Deposition. SIAM Journal on Applied Mathematics, vol. 64, no. 1, pp. 196-215, 2003. Link to SIAM epubs for this article and reprint in PDF-format.

  13. Matthias K. Gobbert, Vinay Prasad, and Timothy S. Cale. Predictive Modeling of Atomic Layer Deposition on the Feature Scale. Thin Solid Films, vol. 410, pp. 129-141, 2002. Link to Elsevier's ScienceDirect Service for this article and reprint in PDF-format.

  14. Matthias K. Gobbert, Vinay Prasad, and Timothy S. Cale. Modeling and Simulation of Atomic Layer Deposition at the Feature Scale. Journal of Vacuum Science & Technology B, vol. 20, no. 3, pp. 1031-1043, 2002. Link to this article at the American Vacuum Society and reprint in PDF-format.

  15. Matthias K. Gobbert, Samuel G. Webster,G and Timothy S. Cale. Transient Adsorption and Desorption in Micrometer Scale Features. Journal of The Electrochemical Society, vol. 149, no. 8, pp. G461-G473, 2002. Link to this article at The Electrochemical Society and reprint in PDF-format.

  16. Timothy S. Cale, Max O. Bloomfield,G David F. Richards, Kenneth E. Jansen, and Matthias K. Gobbert. Integrated Multiscale Process Simulation. Computational Materials Science, vol. 23, pp. 3-14, 2002. Link to Elsevier's ScienceDirect Service for this article and reprint in PDF-format.

  17. Matthias K. Gobbert and Andreas Prohl. A Comparison of Classical and New Finite Element Methods for the Computation of Laminate Microstructure. Applied Numerical Mathematics, vol. 36, pp. 155-178, 2001. Link to Elsevier's ScienceDirect Service for this article and reprint in PDF-format.

  18. Tushar P. Merchant, Matthias K. Gobbert, Timothy S. Cale, and Leonard J. Borucki. Multiple Scale Integrated Modeling of Deposition Processes. Thin Solid Films, vol. 365, no. 2, pp. 368-375, 2000. Link to Elsevier's ScienceDirect Service for this article and reprint in PDF-format.

  19. Matthias K. Gobbert and Andreas Prohl. A Discontinuous Finite Element Method for Solving a Multiwell Problem. SIAM Journal on Numerical Analysis, vol. 37, no. 1, pp. 246-268, 1999. Link to SIAM epubs for this article and reprint in PDF-format.

  20. Matthias K. Gobbert, Timothy S. Cale, and Christian A. Ringhofer. The Combination of Equipment Scale and Feature Scale Models for Chemical Vapor Deposition Via a Homogenization Technique. VLSI Design, vol. 6, nos. 1-4, pp. 399-403, 1998.

  21. Matthias K. Gobbert and Christian A. Ringhofer. An Asymptotic Analysis for a Model of Chemical Vapor Deposition on a Microstructured Surface. SIAM Journal on Applied Mathematics, vol. 58, no. 3, pp. 737-752, 1998. Link to SIAM epubs for this article and reprint in PDF-format.

  22. Matthias K. Gobbert, Tushar P. Merchant, Leonard J. Borucki, and Timothy S. Cale. A Multiscale Simulator for Low Pressure Chemical Vapor Deposition. Journal of The Electrochemical Society, vol. 144, no. 11, pp. 3945-3951, 1997.

  23. Matthias K. Gobbert, Christian A. Ringhofer, and Timothy S. Cale. Mesoscopic Scale Modeling of Microloading During Low Pressure Chemical Vapor Deposition. Journal of The Electrochemical Society, vol. 143, no. 8, pp. 2624-2631, 1996.

Articles in Peer-Reviewed Proceedings

  1. Matthias K. Gobbert. A Technique for the Quantitative Assessment of the Solution Quality on Particular Finite Elements in COMSOL Multiphysics. In: Vineet Dravid, editor, Proceedings of the COMSOL Conference 2007, Boston, MA, pp. 267-272, 2007. See the COMSOL area of my homepage for the preprint of the paper and attached program files.

  2. Matthias K. Gobbert, Mark L. Breitenbach,G and Timothy S. Cale. Cluster Computing for Transient Simulations of the Linear Boltzmann Equation on Irregular Three-Dimensional Domains. In: Vaidy S. Sunderam, Geert Dick van Albada, Peter M. A. Sloot, and Jack J. Dongarra, editors, Computational Science - ICCS 2005, Lecture Notes in Computer Science, vol. 3516, pp. 41-48, Springer-Verlag, 2005.

  3. Timothy S. Cale, Max O. Bloomfield,G David F. Richards, Sofiane Soukane,G Kenneth E. Jansen, John A. Tichy, and Matthias K. Gobbert. Integrated Multiscale Process Simulation in Microelectronics. In: Naoufel Ben Abdallah, Anton Arnold, Pierre Degond, Irene M. Gamba, Robert T. Glassey, C. David Levermore, and Christian Ringhofer, editors, Dispersive Transport Equations and Multiscale Models, The IMA Volumes in Mathematics and its Applications, vol. 136, pp. 51-76, Springer-Verlag, 2004.

  4. Matthias K. Gobbert and Christian Ringhofer. Mesoscopic Scale Modeling for Chemical Vapor Deposition in Semiconductor Manufacturing. In: Naoufel Ben Abdallah, Anton Arnold, Pierre Degond, Irene M. Gamba, Robert T. Glassey, C. David Levermore, and Christian Ringhofer, editors, Dispersive Transport Equations and Multiscale Models, The IMA Volumes in Mathematics and its Applications, vol. 136, pp. 133-149, Springer-Verlag, 2004.

  5. Kevin P. AllenUG and Matthias K. Gobbert. Coarse-Grained Parallel Matrix-Free Solution of a Three-Dimensional Elliptic Prototype Problem. In: Vipin Kumar, Marina L. Gavrilova, Chih Jeng Kenneth Tan, and Pierre L'Ecuyer, editors, Computational Science and Its Applications - ICCSA 2003, Lecture Notes in Computer Science, vol. 2668, pp. 290-299, Springer-Verlag, 2003.

  6. Vinay Prasad, Matthias K. Gobbert, Max Bloomfield,G and Timothy S. Cale. Improving Pulse Protocols in Atomic Layer Deposition. In: B. M. Melnick, T. S. Cale, S. Zaima, and T. Ohta, editors, Advanced Metallization Conference 2002, pp. 709-715, Materials Research Society, 2003.

  7. Samuel G. Webster,G Matthias K. Gobbert, and Timothy S. Cale. Transient 3-D/3-D Transport and Reactant-Wafer Interactions: Adsorption and Desorption. In: P. Timans, E. Gusev, F. Roozeboom, M. Ozturk, and D. L. Kwong, editors, Rapid Thermal and Other Short-Time Processing Technologies III, The Electrochemical Society Proceedings Series, vol. 2002-11, pp. 81-88, 2002.

  8. Vinay Prasad, Matthias K. Gobbert, and Timothy S. Cale. Optimizing Pulse Protocols in Plasma-Enhanced Atomic Layer Deposition. In: G. S. Mathad, M. Yang, R. E. Sah, and M. D. Allendorf, editors, Plasma Processing XIV, The Electrochemical Society Proceedings Series, vol. 2002-17, pp. 25-34, 2002.

  9. Samuel G. Webster,G Matthias K. Gobbert, Jean-François Remacle, and Timothy S. Cale. Parallel Numerical Solution of the Boltzmann Equation for Atomic Layer Deposition. In: Burkhard Monien and Rainer Feldmann, editors, Euro-Par 2002 Parallel Processing, Lecture Notes in Computer Science, vol. 2400, pp. 452-456, Springer-Verlag, 2002.

  10. Vinay Prasad, Matthias K. Gobbert, and Timothy S. Cale. A Transport and Reaction Model for Atomic Layer Deposition. In: Andrew J. McKerrow, Yosi Shacham-Diamand, Shigeaki Zaima, and Takayuki Ohba, editors, Advanced Metallization Conference 2001, pp. 399-403, Materials Research Society, 2002.

  11. Matthias K. Gobbert, Vinay Prasad, and Timothy S. Cale. A Feature Scale Model for Atomic Layer Deposition. In: T. Wade, editor, Proceedings of the Eighteenth International VLSI Multilevel Interconnection Conference, pp. 413-417, IMIC, 2001.

  12. Matthias K. Gobbert and Timothy S. Cale. A Feature Scale Transport and Reaction Model for Atomic Layer Deposition. In: M. T. Swihart, M. D. Allendorf, and M. Meyyappan, editors, Fundamental Gas-Phase and Surface Chemistry of Vapor-Phase Deposition II, The Electrochemical Society Proceedings Series, vol. 2001-13, pp. 316-323, 2001.

  13. T. S. Cale, T. P. Merchant, L. J. Borucki, M. K. Gobbert, and A. H. Labun. Integrated Multiscale Process Simulator for LPCVD. In: T. Wade, editor, Proceedings of the Seventeenth International VLSI Multilevel Interconnection Conference, pp. 233-242, IMIC, 2000.

  14. Matthias K. Gobbert, Tushar P. Merchant, Leonard J. Borucki, and Timothy S. Cale. Vertical Integration of CVD Process Models. In: Mark D. Allendorf and Claude Bernard, editors, Chemical Vapor Deposition: Proceedings of the Fourteenth International Conference and EUROCVD-11, The Electrochemical Society Proceedings Series, vol. 97-25, pp. 254-261, 1997.

  15. Matthias K. Gobbert, Tushar P. Merchant, Timothy S. Cale, and Leonard J. Borucki. Microloading in LPCVD: an Integrated Simulation Approach. In: Robert Havemann, John Schmitz, Hiroshi Komiyama, and Kazuo Tsubouchi, editors, Advanced Metallization and Interconnect Systems for ULSI Applications in 1996, pp. 511-515, Materials Research Society, 1997.

  16. Matthias K. Gobbert, Timothy S. Cale, and Christian A. Ringhofer. One Approach to Combining Equipment Scale and Feature Scale Models. In: Meyya Meyyappan, Demetre J. Economou, and Stephanie W. Butler, editors, Process Control, Diagnostics, and Modeling in Semiconductor Manufacturing, The Electrochemical Society Proceedings Series, vol. 95-4, pp. 553-563, 1995.

Other Publications

  1. Yushu YangG, Michael MuscedereG, and Matthias K. Gobbert. Numerical Studies of the Asymptotic Behavior of a Reaction-Diffusion System with a Fast Reaction. Technical Report number TR2008-4, University of Maryland, Baltimore County, 2008. Reprint in PDF-format.

  2. Matthias K. Gobbert and Nagaraj K. Neerchal. Preparing Graduate Students for Interdisciplinary Careers. Computing in Science and Engineering (CiSE), Education Department, vol. 10, no. 1, pp. 93-95, January/February 2008. Link to the magazine's webpage for this article.

  3. Alen AgheksanterianG and Matthias K. Gobbert. Modeling the Spread of Epidemic Cholera: an Age-Structured Model. Technical Report number TR2007-9, University of Maryland, Baltimore County, 2007. Reprint in PDF-format.

  4. Shiming YangG and Matthias K. Gobbert. The Optimal Relaxation Parameter for the SOR Method Applied to a Classical Model Problem. Technical Report number TR2007-6, University of Maryland, Baltimore County, 2007. Reprint in PDF-format.

  5. Matthias K. Gobbert, Kathleen A. Hoffman, and Jinglai Shen. Advances in Control of Partial Differential Equations in Honor of Thomas I. Seidman. IEEE Control Systems Magazine, vol. 27, no. 2, pp. 92-93, April 2007. Link to IEEE's Xplore site for this article.

  6. Ana Maria Soane,G Matthias K. Gobbert, and Thomas I. Seidman. Design of an effective numerical method for a reaction-diffusion system with internal and transient layers. Technical Report number 2006, Institute for Mathematics and its Applications (IMA), University of Minnesota, 2004. Follow the link for "Prepint/Publications" at the IMA website.

  7. Kevin P. AllenUG and Matthias K. Gobbert. A Matrix-Free Conjugate Gradient Method for Cluster Computing. Technical Report, University of Maryland, Baltimore County, 2003.

  8. Matthias K. Gobbert, Samuel G. Webster,G Jean-François Remacle, and Timothy S. Cale. A Spectral Galerkin Ansatz for the Deterministic Solution of the Boltzmann Equation on Irregular Domains. Technical Report, University of Maryland, Baltimore County, 2002.

  9. Alexander L. Hanhart,G Matthias K. Gobbert, and Leighton T. Izu. Coarse-Grained Parallel Solution for a System of Reaction Diffusion Equations. Technical Report, University of Maryland, Baltimore County, 2002.

  10. Steven C. Foster,UG Matthias K. Gobbert, and Jean-François Remacle. Performance Studies on the Discontinuous Galerkin Method for Solving the Scalar Transport Equation. Technical Report, University of Maryland, Baltimore County, 2002.

  11. Matthias K. Gobbert. Numerical Simulation of Real-World Engineering Applications. Development and Perspectives, no. 1, pp. 65-74, Peust & Gutschmidt Verlag, Göttingen (Germany), 2001.

  12. Matthias K. Gobbert. A Homogenization Technique for the Development of Mesoscopic Scale Models for Chemical Vapor Deposition. Dissertation Summaries in Mathematics, vol. 1, no. 1-2, pp. 299-306, Fall 1996.

  13. Matthias K. Gobbert. A Homogenization Technique for the Development of Mesoscopic Scale Models for Chemical Vapor Deposition. Ph.D. thesis, Arizona State University, May 1996.

  14. Matthias K. Gobbert. Robertson's Example for Stiff Differential Equations. Technical Report, Arizona State University, 1996.

Copyright © 1995-2008 by Matthias K. Gobbert. All Rights Reserved.
This page version 13.8, March 2008.