Overlapping Multipatch Isogeometric Method with Minimal Stabilization
نویسندگان
چکیده
Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 13 December 2019Accepted: 02 October 2020Published online: 25 January 2021KeywordsBoolean operations, union, trimming, overlapping meshes, stabilized methods, isogeometric methodsAMS Subject Headings65N12, 65N15, 65N20, 65N30, 65N85Publication DataISSN (print): 1064-8275ISSN (online): 1095-7197Publisher: Society for Industrial and Applied MathematicsCODEN: sjoce3
منابع مشابه
Multipatch 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 کاملDual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations
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 کاملIsogeometric Boundary Element Method with Hierarchical Matrices
In this work we address the complexity problem of the isogeometric Boundary Element Method by proposing a collocation scheme for practical problems in linear elasticity and the application of hierarchical matrices. For mixed boundary value problems, a block system of matrices – similar to Galerkin formulations – is constructed allowing an effective application of that matrix format. We introduc...
متن کاملThe Isogeometric Nyström Method
In this paper the isogeometric Nyström method is presented. It’s outstanding features are: it allows the analysis of domains described by many different geometrical mapping methods in computer aided geometric design and it requires only pointwise function evaluations just like isogeometric collocation methods. The analysis of the computational domain is carried out by means of boundary integral...
متن کاملIsogeometric Overlapping Additive Schwarz Solvers for the Bidomain System
The electrical activity of the heart is a complex phenomenon strictly related to its physiology, fiber structure and anatomy. At the cellular level the cell membrane separates both the intraand extracellular environments consisting of a dilute aqueous solution of dissolved salts dissociated into ions. Differences in ion concentrations on opposite sides of the membrane lead to a voltage called t...
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: SIAM Journal on Scientific Computing
سال: 2021
ISSN: ['1095-7197', '1064-8275']
DOI: https://doi.org/10.1137/19m1306750