A Reliable and Efficient Implicit a Posteriori Error Estimation Technique for the Time Harmonic Maxwell Equations

نویسندگان

  • FERENC IZSÁK
  • J. W. VAN DER VEGT
چکیده

We analyze an implicit a posteriori error indicator for the time harmonic Maxwell equations and prove that it is both reliable and locally efficient. For the derivation, we generalize some recent results concerning explicit a posteriori error estimates. In particular, we relax the divergence free constraint for the source term. We also justify the complexity of the obtained estimator.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Implicit a posteriori error estimates for the Maxwell equations

An implicit a posteriori error estimation technique is presented and analyzed for the numerical solution of the time-harmonic Maxwell equations using Nédélec edge elements. For this purpose we define a weak formulation for the error on each element and provide an efficient and accurate numerical solution technique to solve the error equations locally. We investigate the well-posedness of the er...

متن کامل

Adaptive finite element techniques for the Maxwell equations using implicit a posteriori error estimates

For the adaptive solution of the Maxwell equations on three-dimensional domains with Nédélec edge finite element methods, we consider an implicit a posteriori error estimation technique. On each element of the tessellation an equation for the error is formulated and solved with a properly chosen local finite element basis. We show that the discrete bilinear form of the local problems satisfies ...

متن کامل

An Adaptive Multilevel Method for Time-Harmonic Maxwell Equations with Singularities

We develop an adaptive edge finite element method based on reliable and efficient residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell’s equations with singularities. The resulting discrete problem is solved by the multigrid preconditioned minimum residual iteration algorithm. We demonstrate the efficiency and robustness of the proposed method by extensive numeric...

متن کامل

Residual-based a posteriori estimators for the A/phi magnetodynamic harmonic formulation of the Maxwell system

This paper is devoted to the derivation of an a posteriori residual-based error estimator for the A− φ magnetodynamic harmonic formulation of the Maxwell system. The weak continuous and discrete formulations are established, and the wellposedness of both of them is addressed. Some useful analytical tools are derived. Among them, an ad-hoc Helmholtz decomposition is proven, which allows to perti...

متن کامل

Residual-based a Posteriori Estimators for the T/ω Magnetodynamic Harmonic Formulation of the Maxwell System

In this paper, we focus on an a posteriori residual-based error estimator for the T/Ω magnetodynamic harmonic formulation of the Maxwell system. Similarly to the A/φ formulation [7], the weak continuous and discrete formulations are established, and the well-posedness of both of them is addressed. Some useful analytical tools are derived. Among them, an ad-hoc Helmholtz decomposition for the T/...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007