3 papers
math.NA2023
The repulsion property in nonlinear elasticity and a numerical scheme to circumvent it
Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan
For problems in the calculus of cariations that exhibit the Lavrentiev phenomenon, it is known that the \textit{repulsion property} holds, that is, if one approximates the global m…
math.AP2020
Cavitation of a spherical body under mechanical and self gravitational forces
Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan
In this paper we look for minimizers of the energy functional for isotropic compressible elasticity taking into consideration the effect of a gravitational field induced by the bod…
math.NA2016
A regularized penalty-multiplier method for approximating cavitation solutions with prescribed cavity volume size
Pablo V. Negrón-Marrero, Jeyabal Sivaloganathan
Let be the region occupied by a body and let be a flaw point in . Let be an energy functional (defined on some appropriate admissibl…