Visualization in Computational Fluid Dynamics: A Case Study. - Robert Haimes; David L. Darmofal (IEEE Visualization, 1991)

A Quasi-Minimal Residual Method for Simultaneous Primal-Dual Solutions and Superconvergent Functional Estimates. - James Lu; David L. Darmofal (SIAM J. Sci. Comput., 2003)

Higher-Dimensional Integration with Gaussian Weight for Applications in Probabilistic Design. - James Lu; David L. Darmofal (SIAM J. Sci. Comput., 2004)

A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations. - Krzysztof J. Fidkowski; David L. Darmofal (J. Comput. Phys., 2007)

Preconditioning methods for discontinuous Galerkin solutions of the Navier-Stokes equations. - Laslo T. Diosady; David L. Darmofal (J. Comput. Phys., 2009)

Analysis of Dual Consistency for Discontinuous Galerkin Discretizations of Source Terms. - Todd A. Oliver; David L. Darmofal (SIAM J. Numer. Anal., 2009)

Shock capturing with PDE-based artificial viscosity for DGFEM: Part I. Formulation. - Garrett E. Barter; David L. Darmofal (J. Comput. Phys., 2010)

Sensitivity analysis of limit cycle oscillations. - Joshua A. Krakos; Qiqi Wang 001; Steven R. Hall; David L. Darmofal (J. Comput. Phys., 2012)

On the impact of triangle shapes for boundary layer problems using high-order finite element discretization. - Huafei Sun; David L. Darmofal; Robert Haimes (J. Comput. Phys., 2012)

An optimization-based framework for anisotropic simplex mesh adaptation. - Masayuki Yano; David L. Darmofal (J. Comput. Phys., 2012)

A Unified Analysis of Balancing Domain Decomposition by Constraints for Discontinuous Galerkin Discretizations. - Laslo T. Diosady; David L. Darmofal (SIAM J. Numer. Anal., 2012)

BDDC for Higher-Order Discontinuous Galerkin Discretizations. - Laslo T. Diosady; David L. Darmofal (Domain Decomposition Methods in Science and Engineering XX, 2013)

An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of elliptic interface problems and conjugate heat transfer problems. - Huafei Sun; David L. Darmofal (J. Comput. Phys., 2014)

Four-Dimensional Anisotropic Mesh Adaptation. - Philip Claude Caplan; Robert Haimes; David L. Darmofal; Marshall C. Galbraith (Comput. Aided Des., 2020)

A family of symmetric, optimized quadrature rules for pentatopes. - David M. Williams; Cory V. Frontin; Edward A. Miller; David L. Darmofal (Comput. Math. Appl., 2020)

Foundations of space-time finite element methods: polytopes, interpolation, and integration. - Cory V. Frontin; Gage S. Walters; Freddie D. Witherden; Carl W. Lee; David M. Williams; David L. Darmofal (CoRR, 2020)

Anisotropic mesh adaptation for continuous finite element discretization through mesh optimization via error sampling and synthesis. - Hugh A. Carson; Arthur C. Huang; Marshall C. Galbraith; Steven R. Allmaras; David L. Darmofal (J. Comput. Phys., 2020)

Convergence of Anisotropic Mesh Adaptation via Metric Optimization. - Hugh A. Carson; Steven R. Allmaras; Marshall C. Galbraith; David L. Darmofal (SIAM J. Numer. Anal., 2022)

Small-sample Bayesian error estimation for ergodic, chaotic systems of ordinary differential equations. - Cory V. Frontin; David L. Darmofal (J. Comput. Phys., 2025)

Stochastic generative methods for stable and accurate closure modeling of chaotic dynamical systems. - Emily Williams; David L. Darmofal (CoRR, 2025)