Journal
Shankar P. Sastry. A 3D advancing-front delaunay mesh refinement algorithm. Computational Geometry, submitted, 2021 (arxiv).
Shankar P. Sastry. A 2D advancing-front delaunay mesh refinement algorithm. Computational Geometry, vol. 97, 2021 (link, arxiv).
J Choi, H Kim, Shankar P Sastry, and Jibum Kim, "A deviation-based dynamic vertex reordering technique for 2D mesh quality improvement", Symmetry, 11 (7), 2019 (link).
David Moxey, Shankar P. Sastry and Robert M. Kirby, "Interpolation error bounds for curved, high-order finite elements and their implications to adaptive mesh refinement," Journal of Scientific Computing, 78 (2), 1045-1062, 2019 (link).
Vidhi Zala, Varun Shankar, Shankar P. Sastry and Robert M. Kirby, "Curvilinear Mesh Adaptation using Radial Basis Function Interpolation and Smoothing," Journal of Scientific Computing, 77 (1), 397-418, 2018 (link).
Kenneth I. Aycock, Robert L. Campbell, Keefe B. Manning, Shankar P. Sastry, Suzanne M. Shontz, Frank C. Lynch, and Brett A. Craven, "A computational method for predicting inferior vena cava filter performance on a patient-specific basis," Journal of Biomechanical Engineering, vol. 136(8), 2014 (link).
Shankar P. Sastry, Emre U. Kultursay, Suzanne M. Shontz, and Mahmut T. Kandemir, "Mesh vertex- and element-reordering techniques for improved cache utilization in parallel mesh warping algorithms," invited submission to Engineering with Computers, vol. 30(4), pp. 535--547, 2014 (link).
Shankar P. Sastry and Suzanne M. Shontz, "A parallel log-barrier method for mesh quality improvement and untangling," invited submission to Engineering with Computers, vol. 30(4), pp. 503--515, 2014 (link).
Shankar P. Sastry, Suzanne M. Shontz, and Stephen A. Vavasis, "A log-barrier method for mesh quality improvement and untangling," invited submission to Engineering with Computers, vol. 30(3), pp. 315--329, 2014 (link).
Jibum Kim, Shankar P. Sastry, and Suzanne M. Shontz, "A numerical investigation on the interplay among geometry, meshes, and linear algebra in the finite element solution of elliptic PDEs," invited submission to Engineering with Computers, vol. 28, pp. 431--450, 2012 (link).
Shankar P. Sastry and Suzanne M. Shontz, "Performance characterization of nonlinear optimization methods for mesh quality improvement," invited submission to Engineering with Computers, vol. 28(3), pp. 269--286, 2012 (link).
Book Chapter
Shankar P. Sastry, Jibum Kim, Suzanne M. Shontz, Brent A. Craven, Frank C. Lynch, Keefe B. Manning, and Thap Panitanarak, "Patient-specific model generation and simulation for pre-operative surgical guidance for pulmonary embolism treatment," Invited submission to Image-Based Modeling and Mesh Generation, vol. 3, pp. 223--249, 2013 (link).
Conference
Brigham Bagley, Shankar P. Sastry, and Ross T. Whitaker, "A Marching-tetrahedra Algorithm for Feature-preserving Meshing of Piecewise-smooth Implicit Surfaces," in Proc. of the 25th International Meshing Roundtable, pp. 162-174, 2016 (link).
T. James Lewis, Shankar P. Sastry, Robert M. Kirby, Ross T. Whitaker, "A GPU-based MIS Aggregation Strategy", in Proc. of the 21st IEEE International Conference on High Performance Computing , pp 214-223, 2015 (link).
Shankar P. Sastry, Vidhi Zala, Robert M. Kirby, "Thin-Plate-Spline Curvilinear Meshing on a Calculus-of-Variations Framework," in Proc. of the 24th International Meshing Roundtable, pp. 135-147, 2015 (link).
Shankar P. Sastry, "Maximizing the Minimum Angle with the Insertion of Steiner Vertices," in Proc. of the 27th Canadian Conference on Computational Geometry, 2015 (link).
Jonathan R. Bronson, Shankar P. Sastry, Joshua A. Levine, and Ross T. Whitaker, "Adaptive and unstructured mesh cleaving," in Proc. of the 23rd International Meshing Roundtable, pp. 266-278, 2014 (link).
S. P. Sastry and R. M. Kirby, "On interpolation errors over quadratic nodal triangular finite elements," in Proc. of the 22nd International Meshing Roundtable, pp. 349--366, 2013 (link).
Shankar P. Sastry, Suzanne M. Shontz, Stephen A. Vavasis, "A log-barrier method for mesh quality improvement," Proc. of the 20th International Meshing Roundtable, pp. 329-346, 2011 (link).
Jibum Kim, Shankar P. Sastry, and Suzanne M. Shontz, "Efficient solution of elliptic partial differential equations via effective combination of mesh quality metrics, preconditioners, and sparse linear solvers," in Proc. of the 19th International Meshing Roundtable, pp. 103-120, 2010 (link).
Shankar P. Sastry and Suzanne M. Shontz, "A Comparison of Gradient- and Hessian-Based Optimization Methods for Tetrahedral Mesh Quality Improvement," Proc. of the 18th International Meshing Roundtable, pp. 631-648, 2009 (link).