K. Buck, J. Babyak, P. Piersanti, K. Zumbrun, C. Gallos and D. Gallos. Nonconvex optimization and convergence of stochastic gradient descent, and solution of asynchronous game. Submitted
P. Piersanti and T. Sun. Geometrical mixed finite element methods for fourth order obstacle problems in linearised elasticity. Submitted
P. Piersanti. On the justification of Koiter's model for elliptic membranes subjected to an interior normal unilateral contact condition. Nonlinear Anal. Real World Appl., 88, 104473, 2026
W. Duan, X. Shen, P. Piersanti, Y. Liu and M. Cai. An efficient decoupling algorithm for thermoelastic dynamic system of elliptic membrane shell. Int. J. Eng. Sci., 217, 104353, 2025
P. Piersanti and T. Sun. Mixed finite element methods for biharmonic obstacle problems SeMA Journal, 82(2), 241--250, 2025
X. Peng, P. Piersanti and X. Shen. Numerical approximation of the solution of Koiter's model for an elliptic membrane shell subjected to an obstacle via the penalty method. Numer. Algorithms, 100, 133--187, 2025
X. Peng, P. Piersanti and X. Shen. On the Numerical Corroboration of an Obstacle Problem for Linearly Elastic Flexural Shells. Phil. Trans. R. Soc. A, 382(2277), 2024
A. Meixner and P. Piersanti. Numerical approximation of the solution of an obstacle problem modelling the displacement of elliptic membrane shells via the penalty method. Appl. Math. Optim., 89(4), paper No. 45, 2024
W. Duan, P. Piersanti, X. Shen and Q. Yang. Numerical corroboration of Koiter's model for all the main types of linearly elastic shells in the static case. Math. Mech. Solids, 28(11), 2347--2369, 2023
P. Piersanti. Asymptotic analysis of linearly elastic flexural shells subjected to an obstacle in absence of friction. J. Nonlinear Sci., 33(4), 39 pp., 2023
P. Piersanti and R. Temam. On the dynamics of grounded shallow ice sheets: Modeling and analysis. Adv. Nonlinear Anal., 12(1), 40 pp., 2023
P. Piersanti, K. White, B. Dragnea and R. Temam. A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case. Anal. Appl., 20(6), 1159--1191, 2022
P. Piersanti, K. White, B. Dragnea and R. Temam. Modelling virus contact mechanics under atomic force imaging conditions. Appl. Anal., 101(11), 3947--3957, 2022
P. Piersanti. Asymptotic analysis of linearly elastic elliptic membrane shells subjected to an obstacle. J. Differential Equations, 320, 114--142, 2022
P. Piersanti. On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle. Discrete Contin. Dyn. Syst. Ser. A, 42(2), 1011--1032, 2022
P. Piersanti. On the improved interior regularity of the solution of a fourth order elliptic problem modelling the displacement of a linearly elastic shallow shell lying subject to an obstacle. Asymptot. Anal., 127, 2022
P. Piersanti. On the justification of the frictionless time-dependent Koiter's model for thermoelastic shells. J. Differential Equations, 296, 50--106, 2021
P. Piersanti and X. Shen. Numerical methods for static shallow shells lying over an obstacle. Numer. Algorithms, 85(2), 623--652, 2020
X. Shen, L. Piersanti and P. Piersanti. Numerical simulations for the dynamics of flexural shells. Math. Mech. Solids, 25(4), 887--912, 2020
P. Piersanti. A time-dependent obstacle problem in linearised elasticity. Nonlinear Anal., 192, 17 pp., 2020
P. Piersanti. An existence and uniqueness theorem for the dynamics of flexural shells. Math. Mech. Solids, 25(2), 317--336, 2020
P. G. Ciarlet and P. Piersanti. An obstacle problem for Koiter's shells. Math. Mech. Solids, 24(10), 3061--3079, 2019
P. G. Ciarlet, C. Mardare and P. Piersanti. An obstacle problem for elliptic membrane shells. Math. Mech. Solids, 24(5), 1503--1529, 2019
P. G. Ciarlet and P. Piersanti. A confinement problem for a linearly elastic Koiter's shell. C.R. Acad. Sci. Paris, Ser. I, 357(2), 221--230, 2019
P. G. Ciarlet, C. Mardare and P. Piersanti. Un probl\`eme de confinement pour une coque membranaire lin\'eairement \'elastique de type elliptique. (French). C.R. Acad. Sci. Paris, Ser. I, 356(10), 1040--1051, 2018
P. Piersanti and P. Pucci. Entire solutions for critical p-fractional Hardy Schr\"odinger Kirchhoff equations. Publ. Mat., 62(1), 3--36, 2018
P. Piersanti and P. Pucci. Existence theorems for fractional $p$-Laplacian problems. Anal. Appl., 15(5), 607--640, 2017