A BDDC (Balancing Domain Decomposition by Constraints) preconditioner with a novel deluxe scaling, introduced by Dohrmann for problems with more than one variable coefficient, is extended to Isogeometric Analysis of scalar elliptic problems. This new scaling turns out to be much more powerful than BDDC with standard ρand stiffness scaling studied in a previous study of isogeometric BDDC. Our h-...

Topology optimization has been an interesting area of research in recent years.  The main focus of this paper is to use an evolutionary swarm intelligence algorithm to perform Isogeometric Topology optimization of continuum structures.  A two-dimensional plate is analyzed statically and the nodal displacements are calculated.  The nodal displacements using Isogeometric analysis are found to be ...

The present research investigates the implementations of different computational geometry technologies in isogeometric analysis framework for computational fracture mechanics. NURBS and T-splines are two different computational geometry technologies which are studied in this work. Among the features of B-spline basis functions, the possibility of enhancing a B-spline basis with discontinuities ...

We derive new trace inequalities for NURBS-mapped domains. In addition to Sobolev-type inequalities, we derive discrete trace inequalities for use in NURBS-based isogeometric analysis. All dependencies on shape, size, polynomial order, and the NURBS weighting function are precisely specified in our analysis, and explicit values are provided for all bounding constants appearing in our estimates....

The isogeometric analysis is a rather new variant of the finite element method (FEM). The key concept of this method is to directly employ a geometric model described by parametric functions as a mesh for the FEM. The models for the isogeometric analysis have been usually based on non-uniform rational B-Splines (NURBS). The applications so far include both twoand three-dimensional models. This ...

Parameterization of computational domain in isogeometric analysis (IGA for short) plays an important role as mesh generation in Finite element analysis. In [4], the authors study the parametrization of computational domain in IGA, and show that the quality of parameterization has great impact on analysis results and efficiency. For parameterization problem with spline boundary, several approach...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 28 July 2020Accepted: 30 June 2021Published online: 23 September 2021Keywordssensitivity analysis, discontinuous Galerkin, isogeometric analysisAMS Subject Headings35L60, 65M50, 65M60, 76N25Publication DataISSN (print): 1064-8275ISSN (online): 1095-7197Publisher: Society ...

Isogeometric Analysis (IGA) is used to simulate a permanent magnet synchronous machine. IGA uses Non-Uniform Rational B-splines (NURBS) to parametrise the domain and to approximate the solution space, thus allowing for the exact description of the geometries even on the coarsest level of mesh refinement. Given the properties of the isogeometric basis functions, this choice guarantees a higher a...