Patrick M. Knupp

Distinguished Member Technical Staff
Applied Mathematics & Applications Dept.

[Sandia National Laboratories]

Publications:

  1. (With S. Steinberg). "The Fundamentals of Grid Generation," CRC Press, 1993
  2. (book review), "A Computational Differential Geometry Approach to Grid Generation" by V.D. Liseikin, pp612-614, SIAM Review, Vol. 47, No. 3, 2005.
  3. U. Hetmanuik and P. Knupp, "Local anisotropic interpolation error estimates based on
    directional derivatives along edges, pp. 575-595, vol. 47, No. 1, SIAM J. Num. Anal., 2009
  4. P. Knupp, "Analysis of 2D, Rotation-invariant, Non-barrier Metrics in the Target-Matrix Paradigm,"
    SANd2008-8219P, Sandia National Laboratories, 2008.
  5. U. Hetmaniuk and P. Knupp, "Mesh Optimization Algorithms to Decrease the Linear Interpolation
    Error," SAND2008-5367, Sandia National Laboratories, 2008.
  6. P. Knupp, "Updating Meshes on Deforming Domains," Communications in Numerical Methods
    in Engineering, 24:467-476, 2008.
  7. L. Diachin, P. Knupp, T. Munson, S. Shontz, "A Comparison of Two Optimization Methods
    for Mesh Quality Improvement," Engr. w/Cmptrs., pp61-74, Vol. 22, No. 2, 2006.
  8. S. Shontz and P. Knupp, "Effect of Vertex Reordering on 2D Local Mesh Optimization
    Efficiency," proceedings of the 17th International Meshing Roundtable, pp107-124,
    Springer, 2008.
  9. U. Hetmaniuk and P. Knupp, "A Mesh Optimization Algorithm to Decrease the Maximum Error
    in Finite Element Computations," proceedings of the 17th International Meshing Roundtable,
    pp 533-550, Springer, 2008.
  10. P. Knupp, "Remarks on Mesh Quality," 45th AIAA Sciences Meeting and Exhibit, Reno NV,
    7-10 January 2007.
  11. P. Pebay, P. Knupp, et. al., "New Applications of the Verdict Library for Standardized
    Mesh Verification," proceedings of the 16th International Meshing Roundtable,
    pp535-552, Springer, 2007.
  12. H. Erten and P. Knupp, "Mesh Optimization for Curved Domains with Target-Matrix Paradigm,"
    pp166-175, CSRI Summer Proceedings, Sandia National Laboratories, 2007.
  13. P. Knupp, et. al. "The Verdict Geometric Quality Library," SAND2007-1751, Sandia National
    Laboratories, 2007.
  14. P. Knupp, "Mesh Quality Improvement for SciDAC Applications," Journal of Physics:
    Conference Series, Vol. 46, pp458-462, Institute of Physics Pub., 2006.
  15. P. Knupp, "Formulation of a Target-Matrix Paradigm for Mesh Optimization," SAND2006-2730J,
    Sandia National Laboratories, 2006.
  16. P. Knupp and U. Hetmaniuk, "Local 2D Metrics for Mesh Optimization in the Target-Matrix Paradigm,"
    SAND2006-7382J, Sandia National Laboratories, 2006.
  17. P. Knupp and E. van der Zee, "Convexity of Mesh Optimization Metrics Using a Target-Matrix
    Paradigm," SAND2006-4975J, Sandia National Laboratories, 2006.
  18. (with T. Tautges, J. Kraftcheck, and H. Kim) "Interoperable Geometry and Mesh Components for SciDAC Applications," pp486-490, in SciDAC 2005, A. Mezzecappa ed., Journal of Physics Conference Series, Vol. 16, 2005.
  19. (with L. Diachin, T. Munson, and S. Shontz) "A Comparison of Inexact Newton and Coordinate Descent Mesh Optimization Techniques," Proceedings of the 13th International Meshing Roundtable, Williamsburg VA, 2004.
  20. (with R. Garimella and M. Shashkov) "Triangular and Quadrilateral Surface Mesh Quality Optimization Using Local Parametrization," Comp. Meth. Appl. Mech. Engr., v193, n. 9-11, p913-928, 2004.
  21. (with M. Brewer, L. Diachin, T. Leurent, and D. Melander) "The Mesquite Mesh Quality Improvement Toolkit," p239-250, Proceedings of the 12th International Meshing Roundtable, Santa Fe NM, 2003.
  22. (with M. Brewer and N. Folwell) "Increasing Tau3P Abort-Time via Mesh Quality Improvement," p379-392, Proceedings of the 12th International Mashing Roundtable, Santa Fe NM, 2003.
  23. P. Knupp, "Hexahedral and Tetrahedral Mesh Shape Optimization," Intl. J. Numer. Meth. Engr., 58:319-332, 2003.
  24. P.Knupp, "Algebraic Mesh Quality Metrics for Unstructured Initial Meshes," Finite Elements in Design and Analysis, p217-241, Vol. 39 No 3, 2002.
  25. (with L. Freitag, T. Munson, and S. Shontz) "A Comparison of Optimization Software for Mesh Shape Quality Improvement Problems," p29-40, Proceedings of the 11th International Meshing Roundtable, Ithaca NY, 2002.
  26. (with R. Garimella and M. Shashkov) "Optimization of Surface Mesh Quality Using Local Parameterization," p41-52, Proceedings of the 11th International Meshing Roundtable, Ithaca NY, 2002.
  27. (with L. Freitag, T. Leurent, and D. Melander) "MESQUITE Design: Issues in the Development of a Mesh Quality Improvement Toolkit," p159-168, Proceedings of the 8th Intl. Conference on Numerical Grid Generation in Computational Field Simulations, Honolulu 2002.
  28. (with R. Garimella and M. Shashkov), "Quality Improvement of Surface Triangulations Using Local Parameterization," p609-618, Proceedings of the 8th Intl. Conference on Numerical Grid Generation in Computational Field Simulations, Honolulu 2002.
  29. P.Knupp, L. Margolin, and M.Shashkov, "Reference Jacobian Optimization-Based Rezone Strategies for Arbitrary Lagrangian Eulerian Methods", Journal of Computational Physics, p93-128, Vol. 176, No. 1, 2002.
  30. (with L. Freitag) "Tetrahedral mesh improvement via optimization of the element condition number," Intl. J. Numer. Meth. Engr., 53:1377-1391, 2002.
  31. P. Knupp, "Hexahedral and Tetrahedral Mesh Untangling," Engineering with Computers, Vol. 17, No. 3, pp261-268, 2001.
  32. (with M. Shashkov). "Optimization-based Reference-matrix rezone strategies for arbitrary Lagrangian-Eulerian Methods on unstructured meshes," p167-176, Proceedings of the 10th International Meshing Roundtable, Newport Beach CA, 2001.
  33. P.Knupp, "Algebraic Mesh Quality Metrics," SIAM J. Sci. Comput., Vol. 23, No. 1, pp193-218, 2001.
  34. P. Knupp, "Hexahedral Mesh Untangling & Algebraic Mesh Quality Metrics," p173-183, Proceedings of the 9th Intl. Meshing Roundtable, New Orleans, 2000.
  35. (with J.Sheppard, S.Mitchell, D.White). "Methods for Multisweep Automation," p77-87, Proceedings of the 9th Intl. Meshing Roundtable, New Orleans, 2000.
  36. P. Knupp, "Achieving Finite Element Mesh Quality via Optimization of the Jacobian Matrix Norm and Associated Quantities. Part II - A Framework for Volume Mesh Optimization and the condition number of the Jacobian matrix," Int'l. J. Numer. Meth. Engr., Vol 48, pp1165-1185, July 2000.
  37. P. Knupp, "Achieving Finite Element Mesh Quality via Optimization of the Jacobian Matrix Norm and Associated Quantities. Part I - A Framework for Surface Mesh Optimization," Int'l. J. Numer. Meth. Engr., Vol 48, Issue 3, pp401-420, May 2000.
  38. P. Knupp and N. Robidoux, "A Framework for Variational Grid Generation: Conditioning the Jacobian Matrix with Matrix Norms," SIAM J. on Scientific Computing, Vol. 21, No. 6, pp2029-2047, 2000.
  39. (with J. Hyman, S. Li, and M. Shaskov) "An Algorithm to Align a Quadrilateral Grid with Internal Boundaries," J. Comp. Phys., 163, pp133-149, 2000.
  40. P. Knupp, "Matrix Norms and the Condition Number: A general framework to improve mesh quality via node-movement," 8th International Meshing RoundTable, Lake Tahoe, pp13-22, 1999.
  41. L. Freitag and P. Knupp, "Tetrahedral Element Shape Optimization via the Jacobian Determinant and Condition Number," 8th International Meshing RoundTable, Lake Tahoe, pp247-258, 1999.
  42. P. Knupp, "Winslow Smoothing on Two-Dimensional Unstructured Meshes," Engineering with Computers, Volume 15, pp263-268, 1999.
  43. "Applications of Mesh Smoothing: Copy, Morph, and Sweep on Unstructured Quadrilateral Meshes", International Journal for Numerical Methods in Engineering, Volume 45, Issue 1, pp37-45, 1999.
  44. "Next-Generation Sweep Tool: A Method For Generating All-Hex Meshes on Two-and-one-half Dimensional Geometries," pp505-513, 7th International Meshing RoundTable, Detroit MI, October 1998.
  45. "Winslow Smoothing on Two-Dimensional Unstructured Meshes," pp449-457, 7th International Meshing RoundTable, Detroit MI, October 1998.
  46. "Jacobian-weighted Elliptic Grid Generation," SIAM J. Sci. Comput., Vol. 17, No. 6, November 1996.
  47. (with R. Luczak) "Truncation Error in Grid Generation: A Case Study," Num. Methods for PDE's, vol. 11, pp561-571, 1995.
  48. "Mesh Generation Using Vector Fields," J.Comp.Phys., 119, pp142-148, 1995.
  49. "Alignment of Structured Grids with Vector Fields," p268, Volume I of procedings of 14th IMACS. World Congress, Atlanta, 1994.
  50. "Advances in Variational Grid Generation," in Numerical Grid Generation in Computational Fluid Dynamics and Related Fields, N.P. Weatherill ed., pp85-91, Swansea UK, Pineridge Press, 1994.
  51. "Surface Grid Generation in the Tangent Plane," Appl. Math. Comp., 59, pp41-62, 1993.
  52. (with P.J. Roache) "Complete Richardson Extrapolation," Comm. Num. Meth. Engr., Vol. 9, pp365-374, 1993.
  53. "A Robust Elliptic Grid Generator," J.Comp.Phys., 100, pp409-418, 1992.
  54. "The Direct Variational Grid Generation Method Extended to Curves," Appl. Math. Comp., 43, pp65-78, 1991.
  55. "Intrinsic Algebraic Grid Generation," in Mathematical Aspects of Grid Generation, J.Castillo ed., Philadelphia, SIAM, pp75-97, 1991.
  56. "On the Invertibility of the Isoparametric Map," Comp. Meth. Appl. Mech. & Engr., 78, pp313-329, 1990.
  57. "Robust Grid Generation on Curves and Surfaces," Ph.D. thesis, University of New Mexico, 1989.

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