www.math.ucla.edu / alexey / research
Research


My current research focuses on realistic simulation of fluids and elastic solids. My research interests include computational solid and fluid mechanics, solid/fluid coupling, multigrid methods and parallel computing.

Advisors: Joseph Teran and Andrea Bertozzi.

Projects

Internship at Walt Disney Animation Studios (2012)

Optimization of a Maya plugin for physically based character skinning via efficient stencil computation and parallelization/vectorization on a CPU.

Energetically Consistent Invertible Elasticity (2012)


We devise an energy-based approach for extending isotropic hyperelastic constitutive models to handle inverted configurations. We also develop a new tool for analyzing and improving the behavior of constitutive models. We demonstrate improvements on the inverting finite element method and the popular corotational model.


A. Stomakhin, R. Howes, C. Schroeder, J. Teran, Energetically Consistent Invertible Elasticity, ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA), 2012, to appear, supplemental technical document.

Internship at Walt Disney Animation Studios (2011)

Implementation and performance comparison of multigrid solvers for physically based character skinning.

Reconstruction of Missing Data in Social Networks Based on Temporal Patterns of Interactions (2011)

We discuss a mathematical framework based on a self-exciting point process aimed at analyzing temporal patterns in the series of interaction events between agents in a social network. We then develop a reconstruction model that allows one to predict the unknown participants in a portion of those events. Finally, we apply our results to the Los Angeles gang network.


A. Stomakhin, M. Short, and A. Bertozzi, Reconstruction of Missing Data in Social Networks Based on Temporal Patterns of Interactions, Inverse Problems, 27(11), 115013, 2011, preprint version.

The paper has been selected by the editors of Inverse Problems for inclusion in the "Highlights of 2011" collection. View certificate.