An interface-fitted mesh generator and virtual element methods for elliptic interface problems
نویسندگان
چکیده
منابع مشابه
Gradient Recovery for Elliptic Interface Problem: I. Body-fitted Mesh
In this paper, we propose a novel gradient recovery method for elliptic interface problem using body-fitted mesh in two dimension. Due to the lack of regularity of solution at interface, standard gradient recovery methods fail to give superconvergent results, and thus will lead to overrefinement when served as a posteriori error estimator. This drawback is overcome by designing an immersed grad...
متن کاملPartially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
This article presents new immersed finite element (IFE) methods for solving the popular second order elliptic interface problems on structured Cartesian meshes even if the involved interfaces have nontrivial geometries. These IFE methods contain extra stabilization terms introduced only at interface edges for penalizing the discontinuity in IFE functions. With the enhanced stability due to the ...
متن کاملImmersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
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...
متن کاملAdaptive Mesh Refinement for Elliptic Interface Problems Using the Non-conforming Immersed Finite Element Method
In this paper, an adaptive mesh refinement technique is developed and analyzed for the non-conforming immersed finite element (IFE) method proposed in [27]. The IFE method was developed for solving the second order elliptic boundary value problem with interfaces across which the coefficient may be discontinuous. The IFE method was based on a triangulation that does not need to fit the interface...
متن کاملAdaptive mesh refinement for elliptic interface problems using the non-conforming immerse finite element method
In this paper, an adaptive mesh refinement technique is developted and analyzed for the non-conforming immersed finite element (IFE) method proposed in [25]. The IFE method was developed for solving the second order elliptic boundary value problem with interfaces across which the coefficient may be discontinuous. The IFE method was based on a triangulation that does not need to fit the interfac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2017
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2017.01.004