The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering
نویسندگان
چکیده
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولNonconforming finite element approximations of the Steklov eigenvalue problem
Article history: Received 27 November 2008 Received in revised form 27 March 2009 Accepted 22 April 2009 Available online 3 May 2009 MSC: 65N25 65N30 65N15
متن کاملA Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
In this paper, a multilevel correction scheme is proposed to solve the Steklov eigenvalue problem by nonconforming finite element methods. With this new scheme, the accuracy of eigenpair approximations can be improved after each correction step which only needs to solve a source problem on finer finite element space and an Steklov eigenvalue problem on the coarsest finite element space. This co...
متن کاملAdaptive Finite Element method for a coefficient inverse problem for the Maxwell’s system
We consider a coefficient inverse problems for the Maxwell’ system in 3-D. The coefficient of interest is the dielectric permittivity function. Only backscattering single measurement data are used. The problem is formulated as an optimization problem. The key idea is to use the adaptive finite element method for the solution. Both analytical and numerical results are presented. Similar ideas fo...
متن کاملAn Adaptive Finite Element Pml Method for the Elastic Wave Scattering Problem in Periodic Structures
ABSTRACT. An adaptive finite element method is presented for the elastic scattering of a time-harmonic plane wave by a periodic and rigid surface. First, the unbounded physical domain is truncated into a bounded computational domain by introducing the perfectly matched layer (PML) technique. The well-posedness and exponential convergence of the solution are established for the truncated PML pro...
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: Open Mathematics
سال: 2020
ISSN: 2391-5455
DOI: 10.1515/math-2020-0140