Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Toshniwal, Deepesh"'
Autor:
Dijkstra, Kevin, Toshniwal, Deepesh
In this paper we propose a local projector for truncated hierarchical B-splines (THB-splines). The local THB-spline projector is an adaptation of the B\'ezier projector proposed by Thomas et al. (Comput Methods Appl Mech Eng 284, 2015) for B-splines
Externí odkaz:
http://arxiv.org/abs/2310.16537
Autor:
Shepherd, Kendrick, Toshniwal, Deepesh
Given a domain $\Omega \subset \mathbb{R}^n$, the de Rham complex of differential forms arises naturally in the study of problems in electromagnetism and fluid mechanics defined on $\Omega$, and its discretization helps build stable numerical methods
Externí odkaz:
http://arxiv.org/abs/2209.01504
Autor:
Takacs, Thomas, Toshniwal, Deepesh
Isogeometric Analysis generalizes classical finite element analysis and intends to integrate it with the field of Computer-Aided Design. A central problem in achieving this objective is the reconstruction of analysis-suitable models from Computer-Aid
Externí odkaz:
http://arxiv.org/abs/2201.11491
Easy to construct and optimally convergent generalisations of B-splines to unstructured meshes are essential for the application of isogeometric analysis to domains with non-trivial topologies. Nonetheless, especially for hexahedral meshes, the const
Externí odkaz:
http://arxiv.org/abs/2111.04401
Autor:
Toshniwal, Deepesh, Villamizar, Nelly
Multivariate piecewise polynomial functions (or splines) on polyhedral complexes have been extensively studied over the past decades and find applications in diverse areas of applied mathematics including numerical analysis, approximation theory, and
Externí odkaz:
http://arxiv.org/abs/2107.06842
Autor:
Speleers, Hendrik, Toshniwal, Deepesh
In this paper, we describe a general class of $C^1$ smooth rational splines that enables, in particular, exact descriptions of ellipses and ellipsoids - some of the most important primitives for CAD and CAE. The univariate rational splines are assemb
Externí odkaz:
http://arxiv.org/abs/2012.03229
Autor:
Casquero, Hugo, Bona-Casas, Carles, Toshniwal, Deepesh, Hughes, Thomas J. R., Gomez, Hector, Zhang, Yongjie Jessica
We extend the recently introduced divergence-conforming immersed boundary (DCIB) method [1] to fluid-structure interaction (FSI) problems involving closed co-dimension one solids. We focus on capsules and vesicles, whose discretization is particularl
Externí odkaz:
http://arxiv.org/abs/2001.08244
In this paper we present an efficient and robust approach to compute a normalized B-spline-like basis for spline spaces with pieces drawn from extended Tchebycheff spaces. The extended Tchebycheff spaces and their dimensions are allowed to change fro
Externí odkaz:
http://arxiv.org/abs/2001.07967
In this paper we study the dimension of bivariate polynomial splines of mixed smoothness on polygonal meshes. Here, "mixed smoothness" refers to the choice of different orders of smoothness across different edges of the mesh. To study the dimension o
Externí odkaz:
http://arxiv.org/abs/2001.01774
Autor:
Toshniwal, Deepesh, Villamizar, Nelly
In this paper we study the dimension of splines of mixed smoothness on axis-aligned T-meshes. This is the setting when different orders of smoothness are required across the edges of the mesh. Given a spline space whose dimension is independent of it
Externí odkaz:
http://arxiv.org/abs/1912.13118