Biblio

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2020
Huang, A. C., “An Adaptive Variational Multiscale Method with Discontinuous Subscales for Aerodynamic Flows”, Phd Thesis, Massachusetts Institute of Technology, 2020.
2018
Jayasinghe, S., “An Adaptive Space-Time Discontinuous Galerkin Method for Reservoir Flows”, Phd Thesis, Massachusetts Institute of Technology, 2018.
Jayasinghe, S., Darmofal, D. L., Galbraith, M. C., Burgess, N. K., and Allmaras, S. R., “Adjoint analysis of Buckley-Leverett and two-phase flow equations”, Computational Geosciences, vol. 22, no. 2, 2018, pp. 527–542.
2017
Ojeda, S. M., Sun, H., Allmaras, S. R., and Darmofal, D. L., “An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of conjugate heat transfer problems”, International Journal for Numerical Methods in Engineering, vol. 110, no. 4, 2017, pp. 350–378.
Carson, H. A., Darmofal, D. L., Galbraith, M. C., and Allmaras, S. R., “Analysis of output-based error estimation for finite element methods”, Applied Numerical Mathematics, vol. 118, 2017, pp. 182 - 202.
Caplan, P. C., Haimes, R., Darmofal, D. L., and Galbraith, M. C., “Anisotropic Geometry-Conforming d-simplicial Meshing via Isometric Embeddings”, Procedia Engineering, vol. 203, 2017, pp. 141-153.
2016
Hu, Y., Wagner, C. F., Allmaras, S. R., Galbraith, M. C., and Darmofal, D. L., “Application of Higher-order Adaptive Method to Reynolds-Averaged Navier–Stokes Test Cases”, AIAA Journal, vol. 54, no. 9, 2016.
2014
Caplan, P. C. D., “An Adaptive Framework for High-Order, Mixed-Element Numerical Simulations”, Masters Thesis, Massachusetts Institute of Technology, 2014.
Sun, H., and Darmofal, D. L., “An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of elliptic interface problems and conjugate heat transfer problems”, Journal of Computational Physics, vol. 278, 2014, pp. 445 - 468.
2013
Darmofal, D. L., Allmaras, S. R., Yano, M., and Kudo, J., “An adaptive, higher-order discontinuous Galerkin finite element method for aerodynamics”, AIAA conference paper, no. 2013-2871, 2013.
Sun, H., and Darmofal, D. L., “An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of multi-material and multi-physics problems”, AIAA conference paper, no. 2013–2443, 2013.
Krakos, J. A., and Darmofal, D. L., “Anisotropic output-based mesh optimization for unsteady flows”, AIAA conference paper, no. 2013-3083, 2013.
2011
Modisette, J. M., “An Automated Reliable Method for Two-Dimensional Reynolds-averaged Navier-Stokes Simulations”, Phd Thesis, Massachusetts Institute of Technology, 2011.
2009
Oliver, T. A., and Darmofal, D. L., “Analysis of dual consistency for discontinuous Galerkin discretizations of source terms”, SIAM Journal of Numerical Analysis, vol. 47, no. 5, 2009, pp. 3507–3525.
2008
Park, M. A., “Anisotropic Output-Based Adaptation with Tetrahedral Cut Cells for Compressible Flows”, Phd Thesis, Massachusetts Institute of Technology, 2008.
2007
Fidkowski, K. J., and Darmofal, D. L., “An adaptive simplex cut-cell method for discontinuous Galerkin discretizations of the Navier-Stokes equations”, AIAA conference paper, no. 2007-3941, 2007.
2004
Lu, J., and Darmofal, D. L., “Adaptive precision methodology for flow optimization via output error control”, AIAA conference paper, no. 2004-1096, 2004.
Okusanya, T., Darmofal, D. L., and Peraire, J., “Algebraic multigrid for stabilized finite element discretizations of the Navier–Stokes equations”, Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 33, 2004, pp. 3667–3686.
2003
Venditti, D. A., and Darmofal, D. L., “Anisotropic grid adaptation for functional outputs: Application to two-dimensional viscous flows”, Journal of Computational Physics, vol. 187, no. 1, 2003, pp. 22–46.
2002
Okusanya, T., “Algebraic Multigrid for Stabilized Finite Element Discretizations of the Navier-Stokes Equations”, Phd Thesis, Massachusetts Institute of Technology, 2002.
2000
Venditti, D. A., and Darmofal, D. L., “Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow”, Journal of Computational Physics, vol. 164, no. 1, 2000, pp. 204–227.
1998
Raghunathan, S., “An Adaptive Cycling Multigrid Algorithm for Two-dimensional Convection-dominated Flows”, Masters Thesis, Texas A&M University, 1998.
Kim, K., “An Adaptive Mesh Method for the Simulation of Blade Vortex Interaction”, Masters Thesis, Texas A&M University, 1998.
de la Garza, A., “An All-at-Once Approach for Multidisciplinary Preliminary Aircraft Design”, Masters Thesis, Texas A&M University, 1998.
1996
Darmofal, D. L., and Haimes, R., “An Analysis of 3D Particle Path Integration Algorithms”, Journal of Computational Physics, vol. 123, no. 1, 1996, pp. 182 - 195.