Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods
نویسندگان
چکیده
منابع مشابه
Dual-Primal Isogeometric Tearing and Interconnecting Solvers for large-scale systems of multipatch continuous Galerkin IgA equations
The dual-primal isogeometric tearing and interconnecting (IETI-DP) method is the adaption of the dual-primal finite element tearing and interconnecting (FETI-DP) method to isogeometric analysis of scalar elliptic boundary value problems like, e.g., diffusion problems with heterogeneous diffusion coefficients. The purpose of this paper is to extent the already existing results on condition numbe...
متن کاملIETI – Isogeometric Tearing and Interconnecting
Finite Element Tearing and Interconnecting (FETI) methods are a powerful approach to designing solvers for large-scale problems in computational mechanics. The numerical simulation problem is subdivided into a number of independent sub-problems, which are then coupled in appropriate ways. NURBS- (Non-Uniform Rational B-spline) based isogeometric analysis (IGA) applied to complex geometries requ...
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In this paper we consider a variant of the dual-primal isogeometric tearing and interconnecting (IETI-DP) method for solving large-sacle linear systems of algebraic equations arising from discontinuous Galerkin (dG) isogeometric analysis of diffusion problems on multipatch domains with non-matching meshes. The dG formulation is used to couple the local problems across patch interfaces. The purp...
متن کاملMultipatch Discontinuous Galerkin Isogeometric Analysis
Isogeometric analysis (IgA) uses the same class of basis functions for both, representing the geometry of the computational domain and approximating the solution. In practical applications, geometrical patches are used in order to get flexibility in the geometrical representation. This multi-patch representation corresponds to a decomposition of the computational domain into non-overlapping sub...
متن کاملDiscontinuous Galerkin Isogeometric Analysis of Elliptic PDEs on Surfaces
The Isogeometric Analysis (IGA) was introduced by Hughes et al. [2005] and has since been developed intensively, see also monograph Cottrell et al. [2009], is a very suitable framework for representing and discretizing Partial Differential Equations (PDEs) on surfaces. We refer the reader to the survey paper by Dziuk and Elliot [2013] where different finite element approaches to the numerical s...
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ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2017
ISSN: 0218-2025,1793-6314
DOI: 10.1142/s0218202518500045