Spectral approximation properties of isogeometric analysis with variable continuity
نویسندگان
چکیده
منابع مشابه
Isogeometric analysis in electromagnetics: B-splines approximation
We introduce a new discretization scheme for Maxwell equations in two space dimension. Inspired by the new paradigm of Isogeometric analysis introduced in [16], we propose an algorithm based on the use of bivariate B-splines spaces suitably adapted to electromagnetics. We construct B-splines spaces of variable interelement regularity on the parametric domain. These spaces (and their push-forwar...
متن کاملContinuity Properties of Best Analytic Approximation
Let A be the operator which assigns to each m×n matrix-valued function on the unit circle with entries in H∞+C its unique superoptimal approximant in the space of bounded analytic m × n matrix-valued functions in the open unit disc. We study the continuity of A with respect to various norms. Our main result is that, for a class of norms satifying certain natural axioms, A is continuous at any f...
متن کاملContinuity Properties of the Lower Spectral Radius
The lower spectral radius, or joint spectral subradius, of a set of real d× d matrices is defined to be the smallest possible exponential growth rate of long products of matrices drawn from that set. The lower spectral radius arises naturally in connection with a number of topics including combinatorics on words, the stability of linear inclusions in control theory, and the study of random Cant...
متن کاملSpectral Analysis of Geometric Multigrid Methods for Isogeometric Analysis
We investigate geometric multigrid methods for solving the large, sparse linear systems which arise in isogeometric discretizations of elliptic partial differential equations. We observe that the performance of standard V-cycle iteration is highly dependent on the spatial dimension as well as the spline degree of the discretization space. Conjugate gradient iteration preconditioned with one V-c...
متن کاملSpectral analysis of matrices in isogeometric collocation methods
We consider a linear full elliptic second order partial differential equation in a d-dimensional domain, d ≥ 1, approximated by isogeometric collocation methods based on uniform B-splines of degrees p := (p1, . . . , pd), pj ≥ 2, j = 1, . . . , d. We give a construction of the inherently non-symmetric matrices arising from this approximation technique and we perform an analysis of their spectra...
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: Computer Methods in Applied Mechanics and Engineering
سال: 2018
ISSN: 0045-7825
DOI: 10.1016/j.cma.2018.01.042