A Fixed Mesh Method with Immersed Finite Elements for Solving Interface Inverse Problems

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Adaptive 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 کامل

Solving inverse problems by connection of level set method, gradient technique and finite or boundary elements

The task of the image reconstruction in Electrical Impedance Tomography (EIT) is highly ill-posed inverse problem. The level set method with the gradient technique is established model for our numerical problem. Interfaces between subdomains with constant conductivities are represented by the level set function. Moreover, only one function is needed to represent any numbers of phases. The itera...

متن کامل

The Immersed Finite Volume Element Method for Some Interface Problems with Nonhomogeneous Jump Conditions

In this paper, an immersed finite volume element (IFVE) method is developed for solving some interface problems with nonhomogeneous jump conditions. Using the source removal technique of nonhomogeneous jump conditions, the new IFVE method is the finite volume element method applied to the equivalent interface problems with homogeneous jump conditions and have properties of the usual finite volu...

متن کامل

A Newton method with adaptive finite elements for solving phase-change problems with natural convection

Article history: Received 27 May 2013 Received in revised form 4 June 2014 Accepted 19 June 2014 Available online 26 June 2014

متن کامل

A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity

This paper presents a new high-order immersed interface method for elliptic equations with imbedded interface of discontinuity. Compared with the original second-order immersed interface method of [R.J. LeVeque, Z. Li. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 31 (1994) 1001–25], the new method achieves arbitr...

متن کامل

ذخیره 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 Scientific Computing

سال: 2018

ISSN: 0885-7474,1573-7691

DOI: 10.1007/s10915-018-0847-y