Campuses:

Mechanics

Tuesday, July 21, 2015 - 10:15am - 11:05am
Shan Zhao (University of Alabama)
The Poisson-Boltzmann (PB) equation is an effective model for the electrostatics analysis of solvated biomolecules. The nonlinearity associated with the PB equation is critical when the underlying electrostatic potential is strong, but is extremely difficult to solve numerically. Recently, we have developed several operator splitting methods to efficiently and stably solve the nonlinear PB equation in a pseudo-transient continuation approach. The operator splitting framework enables an analytical integration of the nonlinear term that suppresses the nonlinear instability.
Saturday, June 23, 2012 - 11:00am - 11:50am
Anja Schlömerkemper (University of Würzburg)
The most common shape memory alloys are monoclinic-I martensite. We study their zero energy states and have two surprising results:

First, there is a five-dimensional continuum in which the energy minimising microstructures are T3s, i.e. innite-rank laminates. To our knowledge, this is the first real material in which T3s occur. We discuss some of the consequences of this discovery.
Wednesday, January 12, 2011 - 8:30am - 9:30am
Cris Cecka (Stanford University)
We discuss multiple strategies to perform general computations on unstructured grids using a GPU, with specific application to the assembly of systems of equations in finite element methods (FEMs). For each method, we discuss the GPU hardware's limiting resources, optimizations, key data structures, and dependence of the performance with respect to problem size, element size, and GPU hardware generation. These methods are applied to a nonlinear hyperelastic material model to develop a large-scale real-time interactive elastodynamic visualization.
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