Monge-Ampére simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems. - Kelsey L. DiPietro; Alan E. Lindsay (J. Comput. Phys., 2017)

Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems. - Kelsey L. DiPietro; Ronald D. Haynes; Weizhang Huang; Alan E. Lindsay; Yufei Yu (J. Comput. Phys., 2018)

Adaptive Solution to Two-Dimensional Partial Differential Equations in Curved Domains Using the Monge-Ampére Equation. - Kelsey L. DiPietro; Alan E. Lindsay (SIAM J. Sci. Comput., 2019)