An Overlapping Nonmatching Grid Mortar Element Method for Maxwell's Equations

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

Overlapping Nonmatching Grid Mortar Element Methods for Elliptic Problems

In the first part of the paper, we introduce an overlapping mortar finite element method for solving two-dimensional elliptic problems discretized on overlapping nonmatching grids. We prove an optimal error bound and estimate the condition numbers of certain overlapping Schwarz preconditioned systems for the two-subdomain case. We show that the error bound is independent of the size of the over...

متن کامل

The Mortar Element Method with Overlapping Subdomains

The mortar element methods were introduced in [BMP94] for non overlapping domain decompositions in order to couple different variational approximations in different subdomains. In the finite element context, one important advantage of the mortar element methods is that it allows for using structured grids in subdomains thus fast solvers [AAH98]. The resulting methods are nonconforming but still...

متن کامل

A conforming finite element method for overlapping and nonmatching grids

In this paper we propose a finite element method for nonmatching overlapping grids based on the partition of unity. Both overlapping and nonoverlapping cases are considered. We prove that the new method admits an optimal convergence rate. The error bounds are in terms of local mesh sizes and they depend on neither the overlapping size of the subdomains nor the ratio of the mesh sizes from diffe...

متن کامل

An overlapping mortar element approach to coupled magneto-mechanical problems

This paper presents a finite element approach with moving non-matching overlapping grids to solve coupled magneto-mechanical problems. As an example of application, we consider the team workshop problem 28 for an electrodynamic levitation device. The connection between the background mesh including the two exciting coils and the foreground mesh of the conducting plate is established by using a ...

متن کامل

Overlapping Nonmatching Grids Method: Some Preliminary Studies

In this paper, we report some preliminary studies of a finite difference method on overlapping nonmatching grids for a two-dimensional Poisson problem. The method can be regarded as an extension of the Generalised Additive Schwarz Method (GASM). GASM was originally developed as a preconditioning technique that uses special transmission boundary conditions at the subdomain interfaces. By involvi...

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: IEEE Transactions on Magnetics

سال: 2014

ISSN: 0018-9464,1941-0069

DOI: 10.1109/tmag.2013.2282034