3 papers
math.NA2021
A p-adaptive, implicit-explicit mixed finite element method for reaction-diffusion problems
Mebratu Wakeni, Ankush Aggarwal, Lukasz Kaczmarczyk +4
A new class of implicit-explicit (IMEX) methods combined with a p-adaptive mixed finite element formulation is proposed to simulate the diffusion of reacting species. Hierarchical…
math.NA2020
Solid shell prism elements based on hierarchical, heterogeneous, and anisotropic shape functions
Lukasz Kaczmarczyk, Hoang Nguyen, Zahur Ullah +2
The formulation of a new prism finite element is presented for the nonlinear analysis of solid shells subject to large strains and large displacements. The element is based on hier…
cond-mat.stat-mech2015
A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations
Mebratu F. Wakeni, B. D. Reddy, A. T. McBride
A thermodynamically consistent model of non-classical coupled non-linear thermoelasticity capable of accounting for thermal wave propagation is proposed. The heat flux is assumed t…