The Algebraic Immersed Interface and Boundary Method for Elliptic Equations with Jump Conditions
نویسندگان
چکیده
منابع مشابه
The algebraic immersed interface and boundary method for elliptic equations with jump conditions
A new simple fictitious domain method, the algebraic immersed interface and boundary (AIIB) method, is presented for elliptic equations with immersed interface conditions. This method allows jump conditions on immersed interfaces to be discretized with a good accuracy on a compact stencil. Auxiliary unknowns are created at existing grid locations to increase the degrees of freedom of the initia...
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In this work, a class of new finite-element methods, called immersed-interface finite-element methods, is developed to solve elliptic interface problems with nonhomogeneous jump conditions. Simple non–body-fitted meshes are used. A single function that satisfies the same nonhomogeneous jump conditions is constructed using a level-set representation of the interface. With such a function, the di...
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Abstract. This paper is to develop immersed finite element (IFE) functions for solving second order elliptic boundary value problems with discontinuous coefficients and non-homogeneous jump conditions. These IFE functions can be formed on meshes independent of interface. Numerical examples demonstrate that these IFE functions have the usual approximation capability expected from polynomials emp...
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ژورنال
عنوان ژورنال: Open Journal of Fluid Dynamics
سال: 2020
ISSN: 2165-3852,2165-3860
DOI: 10.4236/ojfd.2020.103015