PROSPECTIVE STUDENTS CURRENT STUDENTS ALUMNI FACULTY STAFF

This area involves study and research on theoretical and implementational aspects of numerical simulations: applied mathematics (functional analysis, partial differential equations, dynamical systems), numerical analysis (a- priori and a-posteriori error estimation, adaptive algorithms, stochasticity), computer science (high performance linear algebra, parallel computing), software engineering (programming in Fortran 90, C, C++ , data structures),visualization and geometry modeling, and mathematical modeling (multiscale, multiphysics problems). Applications span across all disciplines of mechanics and related coupled, multiphysics problems: computational solid mechanics (fractures, phase transitions, plasticity, pattern formation), computational fluid mechanics and transport, semiconductor modeling, subsurface (multiphase flow in porous media) and surface flows, environmental modeling and remediation, computational wave propagation (elastodynamics, acoustics, electromagnetics), bioinformatics and bioengineering, computational material science. The program is closely related to graduate programs in Engineering Mechanics and the interdisciplinary programs in Computational and Applied Mathematics and Computational Engineering Sciences.

Faculty:

Ivo Babuska:

• Numerical Solution of Partial Differential Equations
• Computational Problems of Solid Mechanics
• Theory of Partial Differential Equations

Graham Carey:

• Finite Element Methods
• Computational Fluid Dynamics and Transport Processes
• Supercomputing and Adaptive Grid Techniques

Clint Dawson:

• Numerical Solution to Partial Differential Equations
• Algorithms for Massively Parallel Scientific Computation
• Application to Surface and Subsurface Flow and Transport in Earth Systems

Leszek Demkowicz:

• Computational Acoustics and Electromagnetics
• hp-Adaptive Finite and Boundary Element Methods
• Applied Functional Analysis

Linda Hayes:

• Finite Element Modeling
• Cryopreservation in Biological Tissues
• Algorithms for Massive Parallel Processing

Thomas Hughes:

• Acoustics
• Bioengineering
• Complex Fluids
• Computational Mechanics
• Fluid Mechanics
• Solid Mechanics

J. Tinsley Oden:

• Computational Mechanics and Mathematics
• Numerical Solution of Partial Differential Equations
• Computational Fluid Dynamics

Mary Wheeler:

• Numerical Solution of Partial Differential Equations
• Flow and Transport in Porous Media
• Algorithms for Massively Parallel Machines
  

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Downstream view of a set of streamlines of laminar boundary layer.