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Showing 1 to 4 of 4 for “"elliptic interface problem"”.
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Higher Order Immersed Finite Element Methods for Interface Problems
… capabilities, alongside with applications to the elliptic interface problem and the hyperbolic interface problem. In the first part, we discuss a general m-th degree IFE space for one dimensional interface problems with many polynomial-like properties, then we develop a general framework for …
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A Class of Immersed Finite Element Spaces and Their Application to Forward and Inverse Interface Problems
… 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 and their related …
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Nonconforming Immersed Finite Element Methods for Interface Problems
… simulations, it usually leads to the so-called interface problems of PDEs whose coefficients are discontinuous. In this dissertation, we consider nonconforming immersed "nite element (IFE) methods and error analysis for interface problems. We "first consider the second order elliptic interface …
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A parallel second order Cartesian method for elliptic interface problems and its application to tumor growth model
… deals with a parallel Cartesian method to solve elliptic problems with complex interfaces and its application to elliptic irregular domain problems in the framework of a tumor growth model. This method is based on a finite differences scheme and is second order accurate in the whole domain. The …