A discontinuous least squares finite element method for time-harmonic Maxwell equations

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

A least-squares approximation method for the time-harmonic Maxwell equations

In this paper we introduce and analyze a new approach for the numerical approximation of Maxwell’s equations in the frequency domain. Our method belongs to the recently proposed family of negative-norm least-squares algorithms for electromagnetic problems which have already been applied to the electrostatic and magnetostatic problems as well as the Maxwell eigenvalue problem (see [5, 4]). The s...

متن کامل

A locally conservative, discontinuous least-squares finite element method for the Stokes equations

Conventional least-squares finite element methods (LSFEMs) for incompressible flows conserve mass only approximately. For some problems, mass loss levels are large and result in unphysical solutions. In this paper we formulate a new, locally conservative LSFEM for the Stokes equations wherein a discrete velocity field is computed that is point-wise divergence free on each element. The central i...

متن کامل

A Discontinuous Velocity Least Squares Finite Element Method for the Stokes Equations with Improved Mass Conservation

Conventional least squares finite element methods (LSFEM) for incompressible flows conserve mass approximately. In some cases, this can lead to an unacceptable loss of mass and unphysical solutions. In this report we formulate a new, locally conservative LSFEM for the Stokes equations which computes a discrete velocity field that is point-wise divergence free on each element. To this end, we em...

متن کامل

A Locally Divergence-free Nonconforming Finite Element Method for the Reduced Time-harmonic Maxwell Equations

In this work, we will focus on (2), which will be referred to as the reduced time-harmonic Maxwell (RTHM) equations. Under the assumption that k is not a Maxwell eigenvalue, the RTHM equations have a unique solution in H0(curl; Ω) ∩H(div ; Ω). Our main achievement in this work is that we design a numerical method for RTHM equations using locally divergence-free Crouzeix-Raviart nonconforming P1...

متن کامل

A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations

A new numerical method for computing the divergence-free part of the solution of the time-harmonic Maxwell equations is studied in this paper. It is based on a discretization that uses the locally divergence-free CrouzeixRaviart nonconforming P1 vector fields and includes a consistency term involving the jumps of the vector fields across element boundaries. Optimal convergence rates (up to an a...

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: IMA Journal of Numerical Analysis

سال: 2021

ISSN: 0272-4979,1464-3642

DOI: 10.1093/imanum/draa094