Gradient recovery for elliptic interface problem: III. Nitsche's method
نویسندگان
چکیده
Article history: Received 28 September 2017 Received in revised form 22 November 2017 Accepted 24 November 2017 Available online xxxx
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 کاملGradient recovery for elliptic interface problem: II. Immersed finite element methods
This is the second paper on the study of gradient recovery for elliptic interface problem. In our previous work [H. Guo and X. Yang, 2016, arXiv:1607.05898], we developed a novel gradient recovery technique for finite element method based on body-fitted mesh. In this paper, we propose new gradient recovery methods for two immersed interface finite element methods: symmetric and consistent immer...
متن کاملA Posteriori Error Estimator for Linear Elliptic Problem∗
Abstract This paper concerns with a new error estimator for finite element approximation to the linear elliptic problem. A posteriori error estimator employing both a residual and a recovery based estimator is introduced. The error estimator is constructed by employing the recovery gradient method to obtain the approximated solutions of the linear elliptic problem. These solutions are combined ...
متن کاملAdaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients
Mesh deformation methods are a versatile strategy for solving partial differential equations (PDEs) with a vast variety of practical applications. However, these methods break down for elliptic PDEs with discontinuous coefficients, namely, elliptic interface problems. For this class of problems, the additional interface jump conditions are required to maintain the well-posedness of the governin...
متن کاملMaterial and Shape Derivative Method for Quasi-Linear Elliptic Systems with Applications in Inverse Electromagnetic Interface Problems
We study a shape optimization problem for quasi-linear elliptic systems. The state equations describe an interface problem and the ultimate goal of our research is to determine the interface between two materials with different physical properties. The interface is identified by the minimization of the shape (or the cost) functional representing the misfit between the data and the simulations. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Comput. Physics
دوره 356 شماره
صفحات -
تاریخ انتشار 2018