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Showing 1 to 2 of 2 for “"Unfitted Meshes"”.
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Immersed and Discontinuous Finite Element Methods
… applied to a model elliptic problem on Cartesian meshes when polynomials of degree at most <i>k</i> and an appropriate approximation of the boundary condition are used. This special approximation allows us to achieve <i>k</i> + 1 order of convergence for both the potential and its gradient in the …
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Design, Analysis, and Application of Immersed Finite Element Methods
This dissertation consists of three studies of immersed finite element (IFE) methods for inter- face problems related to partial differential equations (PDEs) with discontinuous coefficients. These three topics together form a continuation of the research in IFE method including the extension to …