116 citations · 489 across the 28 of their papers we have counts for
4 papers · 1 filter
On regularizations of the delta distribution
Bamdad Hosseini, Nilima Nigam, John M. Stockie
In this article we consider regularizations of the Dirac delta distribution with applications to prototypical elliptic and hyperbolic partial differential equations (PDEs). We stud…
Homogenization of the Stefan problem, with application to maple sap exudation
Isabell Graf, John M. Stockie
The technique of periodic homogenization with two-scale convergence is applied to the analysis of a two-phase Stefan-type problem that arises in the study of a periodic array of me…
Parametric resonance in spherical immersed elastic shells
William Ko, John M. Stockie
We perform a stability analysis for a fluid-structure interaction problem in which a spherical elastic shell or membrane is immersed in a 3D viscous, incompressible fluid. The shel…
Simulating flexible fiber suspensions using a scalable immersed boundary algorithm
Jeffrey K. Wiens, John M. Stockie
We present an approach for numerically simulating the dynamics of flexible fibers in a three-dimensional shear flow using a scalable immersed boundary (IB) algorithm based on Guerm…