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Showing 1 to 4 of 4 for “"Immersed Finite Elements"”.
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Bilinear Immersed Finite Elements For Interface Problems
In this dissertation we discuss bilinear immersed finite elements (IFE) for solving interface problems. The related research works can be categorized into three aspects: (1) the construction of the bilinear immersed finite element spaces; (2) numerical methods based on these IFE spaces for solving …
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Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems
… the interface. The main focus of our work is the immersed finite element method to obtain optimal numerical solutions for interface problems. In this thesis, we present piecewise quadratic immersed finite element (IFE) spaces that are used with an immersed finite element (IFE) method with interior …
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Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications
This dissertation studies immersed finite elements (IFE) for a second order elliptic operator and their applications to interface problems of related partial differential equations. We start with the immersed finite element methods for the second order elliptic operator with a discontinuous …
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A Class of Immersed Finite Element Spaces and Their Application to Forward and Inverse Interface Problems
A class of immersed finite element (IFE) spaces is developed for solving elliptic boundary value problems that have interfaces. IFE spaces are finite element approximation spaces which are based upon meshes that can be independent of interfaces in the domain. Three different quadratic IFE spaces …