6. Intrinsic Algebraic Grid Generation. - Patrick M. Knupp (Mathematical Aspects of Numerical Grid Generation, 1991)

Jacobian-Weighted Elliptic Grid Generation. - Patrick M. Knupp (SIAM J. Sci. Comput., 1996)

Next-Generation Sweep Tool: A Method for Generating All-Hex Meshes on Two-and-One-Half Dimensional Geometries. - Patrick M. Knupp (IMR, 1998)

Tetrahedral Element Shape Optimization via the Jacobian Determinant and Condition Number. - Lori A. Freitag; Patrick M. Knupp (IMR, 1999)

Matrix Norms & The Condition Number: A General Framework to Improve Mesh Quality Via Node-Movement. - Patrick M. Knupp (IMR, 1999)

Winslow Smoothing on Two-Dimensional Unstructured Meshes. - Patrick M. Knupp (Eng. Comput., 1999)

Hexahedral Mesh Untangling & Algebraic Mesh Quality Metrics. - Patrick M. Knupp (IMR, 2000)

Methods for Multisweep Automation. - Jason F. Shepherd; Scott A. Mitchell; Patrick M. Knupp; David R. White 001 (IMR, 2000)

A Framework for Variational Grid Generation: Conditioning the Jacobian Matrix with Matrix Norms. - Patrick M. Knupp; Nicolas Robidoux (SIAM J. Sci. Comput., 2000)

Optimization-Based Reference-Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Meshes. - Mikhail J. Shashkov; Patrick M. Knupp (IMR, 2001)

Hexahedral and Tetrahedral Mesh Untangling. - Patrick M. Knupp (Eng. Comput., 2001)

Algebraic Mesh Quality Metrics. - Patrick M. Knupp (SIAM J. Sci. Comput., 2001)

A Comparison Of Optimization Software For Mesh Shape-Quality Improvement Problems. - Lori A. Freitag; Patrick M. Knupp; Todd S. Munson; Suzanne M. Shontz (IMR, 2002)

Optimization of Surface Mesh Quality Using Local Parametrization. - Rao V. Garimella; Mikhail J. Shashkov; Patrick M. Knupp (IMR, 2002)

The Mesquite Mesh Quality Improvement Toolkit. - Michael L. Brewer; Lori Freitag Diachin; Patrick M. Knupp; Thomas Leurent; Darryl J. Melander (IMR, 2003)

Increasing TAU3P Abort-time via Mesh Quality Improvement. - Nathan T. Folwell; Patrick M. Knupp; Michael L. Brewer (IMR, 2003)

A Comparison of Inexact Newton and Coordinate Descent Mesh Optimization Techniques. - Lori Freitag Diachin; Patrick M. Knupp; Todd S. Munson; Suzanne M. Shontz (IMR, 2004)

A comparison of two optimization methods for mesh quality improvement. - Lori Freitag Diachin; Patrick M. Knupp; Todd S. Munson; Suzanne M. Shontz (Eng. Comput., 2006)

New Applications of the Verdict Library for Standardized Mesh Verification Pre, Post, and End-to-End Processing. - Philippe P. Pébay; David C. Thompson 001; Jason Shepherd; Patrick M. Knupp; Curtis Lisle; Vincent Magnotta; Nicole M. Grosland (IMR, 2007)

Measuring progress in Premo order-verification. - Ryan B. Bond; Curtis C. Ober; Patrick M. Knupp (Eng. Comput., 2007)

Measuring progress in order-verification within software development projects. - Patrick M. Knupp; Curtis C. Ober; Ryan B. Bond (Eng. Comput., 2007)

A Mesh Optimization Algorithm to Decrease the Maximum Error in Finite Element Computations. - Ulrich Hetmaniuk; Patrick M. Knupp (IMR, 2008)

The Effect of Vertex Reordering on 2D Local Mesh Optimization Efficiency. - Suzanne M. Shontz; Patrick M. Knupp (IMR, 2008)

Local Anisotropic Interpolation Error Estimates Based on Directional Derivatives Along Edges. - Ulrich Hetmaniuk; Patrick M. Knupp (SIAM J. Numer. Anal., 2008)

Label-Invariant Mesh Quality Metrics. - Patrick M. Knupp (IMR, 2009)

Efficient and good Delaunay meshes from random points. - Mohamed S. Ebeida; Scott A. Mitchell; Andrew A. Davidson; Anjul Patney; Patrick M. Knupp; John D. Owens (Comput. Aided Des., 2011)

A mesh optimization algorithm to decrease the maximum interpolation error of linear triangular finite elements. - Ulrich Hetmaniuk; Patrick M. Knupp (Eng. Comput., 2011)

Efficient maximal poisson-disk sampling. - Mohamed S. Ebeida; Andrew A. Davidson; Anjul Patney; Patrick M. Knupp; Scott A. Mitchell; John D. Owens (ACM Trans. Graph., 2011)

Introducing the target-matrix paradigm for mesh optimization via node-movement. - Patrick M. Knupp (Eng. Comput., 2012)

Improving spatial coverage while preserving the blue noise of point sets. - Mohamed S. Ebeida; Muhammad A. Awad; Xiaoyin Ge; Ahmed H. Mahmoud; Scott A. Mitchell; Patrick M. Knupp; Li-Yi Wei (Comput. Aided Des., 2014)

Not so HOT Triangulations. - Scott A. Mitchell; Patrick M. Knupp; Sarah Mackay; Michael F. Deakin (Comput. Aided Des., 2023)