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Showing 1 to 5 of 5 for “"the immersed interface method"”.
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Error Analysis of the Immersed Interface Method for Elliptic Problems with an Interface.
North Carolina State University Theses Mathematics.
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Immersed Interface Method for Elasticity Problems with Interfaces
An immersed interface method and an immersed finite element method for solving linear elasticity problems with two phases separated by an interface have been developed in this thesis. For the problem of interest, the underlying elasticity modulus is a constant in each phase but vary from phase to …
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A fast enriched FEM for Poisson equations involving interfaces
We develop a fast enriched finite element method for solving Poisson equations involving complex geometry interfaces by using regular Cartesian grids. The presence of interfaces is accounted for by developing suitable jump conditions. The immersed boundary method (IBM) and the immersed interface …
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Electrohydrodynamic Simulations of Capsule Deformation Using a Dual Time-Stepping Lattice Boltzmann Scheme
… membranes that serve as a useful model for synthetic and biological membranes. One prominent application of capsules is their use in modeling the response of red blood cells to external forces. These models can be used to study the cell’s material properties and can also assist in the …
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Numerical Methods for Simulating Fluid Motion Driven By Immersed Interface
<p>This dissertation introduces the new computational methods for two major topics. The first topic is computing the Stokes flow driven by an open immersed interface. The other topic is the simulation of the Stokes and Navier-Stokes fluid through an elastic tube driven by an internal source and …