Evaluation of Inner Products of Implicitly-defined Finite Element Functions on Multiply Connected Planar Mesh Cells

Jeffrey S. Ovall, and Samuel E. Reynolds, SIAM Journal on Scientific Computing (2024), Vol. 46 (1), pp. A338–A359.

https://doi.org/10.1137/23M1569332
Preprint (arXiv)

Quadrature for Implicitly-defined Finite Element Functions on Curvilinear Polygons

Jeffrey S. Ovall, and Samuel E. Reynolds, Computers & Mathematics with Applications (2022), Vol. 107 (1), pp. 1–16.

https://doi.org/10.1016/j.camwa.2021.12.003
Preprint (arXiv)

Trefftz Finite Elements on Curvilinear Polygons

Akash Anand, Jeffrey S. Ovall, Samuel E. Reynolds, and Steffen Weisser, SIAM Journal on Scientific Computing (2020), Vol. 42(2), pp. A1289–A1316.

https://doi.org/10.1137/19M1294046
Preprint (arXiv)

A High-order Method for Evaluating Derivatives of Harmonic Functions in Planar Domains

Jeffrey S. Ovall, and Samuel E. Reynolds, SIAM Journal on Scientific Computing (2018), Vol. 40(3), A1915–A1935.

https://doi.org/10.1137/17M1141825
Preprint (PDX Scholar)

Clustering and Multifacility Location with Constraints via Distance Function Penalty Method and DC Programming

Nguyen Mau Nam, Nguyen Thai An, Sam Reynolds, and Tuyen Tran, Optimization (2018), Vol. 67(11), pp. 1869–1894.

https://doi.org/10.1080/02331934.2018.1510498
Preprint (Optimization Online)

Nesterov's Smoothing Technique and Minimizing Differences of Convex Functions for Hierarchical Clustering

Nguyen Mau Nam, Wondi Geremew, Sam Reynolds, and Tuyen Tran, Optimization Letters (2018), Vol. 12, pp. 455–473.

https://doi.org/10.1007/s11590-017-1183-0
Preprint (arXiv)