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- 1Body force
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- 1Electro-Cardiac Activity
- 1Elliptic and Helmholtz interface equations
- 1Eulerian formulation
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Fall 2022
Interface problems arise in many applications such as modeling of underground waste disposal, oil reservoirs, composite materials, and many others. The coefficient $a$, the source term $f$, the solution $u$ and the flux $a\nabla u\cdot \vec{n}$ are possibly discontinuous across the interface...
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Fall 2014
This thesis presents recent developments in direct numerical simulations of fluid-structure interaction occurring in biological systems, with particular interest in the modeling of particle deposition within the human respiratory system. Two numerical techniques are proposed. The first one is...
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Fall 2012
Mathematical models are used to simulate the behavior of the electrical activity of a single cell or multiple cells of the heart. Single cell models contain a system of ODEs (ordinary differential equations) while multi-cell models consist of a coupled system of ODEs and PDEs (partial...