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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.

Area Faculty

Ivo Babuska
Tan Bui-Thanh
Clint Dawson
Leszek Demkowicz
John Foster
Thomas Hughes
J. Tinsley Oden
Gregory Rodin
Mary Wheeler

tan bui vis lab

Working Backwards: Using Inverse Problem Solving for Oil and Gas Exploration

Tan Bui-Thanh is using inverse problem solving to develop computer models for oil and gas exploration.

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Clint Dawson with hurricane model

Clint Dawson's Team Contributes Data to "Hell and High Water" in Texas Tribune

Clint Dawson's team contributed data to this incredible interaction story that details the potential for devastation of the Texas coastline.

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