We study the spectral distribution of matrices arising in Galerkin isogeometric methods for weighted curl-div operators defined on a general planar domain. It can be compactly described by means of a spectral symbol which depends on the characteristic parameters of the problem: the weight parameters, the basic curl and div operators, the degree of the B-spline approximation, and the geometry map used to represent the computational domain.
Spectral analysis of isogeometric discretizations of 2d curl-div problems with general geometry
Mazza M.
Primo
;
2020-01-01
Abstract
We study the spectral distribution of matrices arising in Galerkin isogeometric methods for weighted curl-div operators defined on a general planar domain. It can be compactly described by means of a spectral symbol which depends on the characteristic parameters of the problem: the weight parameters, the basic curl and div operators, the degree of the B-spline approximation, and the geometry map used to represent the computational domain.
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