Edge finite elements for the approximation of Maxwell resolvent operator
نویسندگان
چکیده
منابع مشابه
Edge Finite Elements for the Approximation of Maxwell Resolvent Operator
In this paper we consider the Maxwell resolvent operator and its finite element approximation. In this framework it is natural the use of the edge element spaces and to impose the divergence constraint in a weak sense with the introduction of a Lagrange multiplier, following an idea by Kikuchi [14]. We shall review some of the known properties for edge element approximations and prove some new ...
متن کاملApproximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
We propose and analyze an approximation technique for the Maxwell eigenvalue problem using H1-conforming finite elements. The key idea consists of considering a mixed method controlling the divergence of the electric field in a fractional Sobolev space H−α with α ∈ ( 1 2 , 1). The method is shown to be convergent and spectrally correct.
متن کاملApproximation of Semigroups and Related Operator Functions by Resolvent Series
Abstract. We consider the approximation of semigroups e and of the functions φj(τA) that appear in exponential integrators by resolvent series. The interesting fact is that the resolvent series expresses the operator functions e and φj(τA), respectively, in efficiently computable terms. This is important for semigroups, where the new approximation is different from well-known approximations by ...
متن کاملFinite Element Eigenvalue Enclosures for the Maxwell Operator
We propose employing the extension of the Lehmann-MaehlyGoerisch method developed by Zimmermann and Mertins, as a highly effective tool for the pollution-free finite element computation of the eigenfrequencies of the resonant cavity problem on a bounded region. This method gives complementary bounds for the eigenfrequencies which are adjacent to a given parameter t ∈ R. We present a concrete nu...
متن کاملMixed Discontinuous Galerkin Approximation of the Maxwell Operator
We present and analyze an interior penalty method for the numerical discretization of the indefinite time-harmonic Maxwell equations in mixed form. The method is based on the mixed discretization of the curl-curl operator developed in [Houston et al., J. Sci. Comp. 22 (2005) 325–356] and can be understood as a non-stabilized variant of the approach proposed in [Perugia et al., Comput. Methods A...
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: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2002
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an:2002013