Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Vitrih, Vito"'
We present a novel isogeometric collocation method for solving the Poisson's and the biharmonic equation over planar bilinearly parameterized multi-patch geometries. The proposed approach relies on the use of a modified construction of the C^s-smooth
Externí odkaz:
http://arxiv.org/abs/2411.13338
We construct over a given bilinear multi-patch domain a novel $C^s$-smooth mixed degree and regularity isogeometric spline space, which possesses the degree $p=2s+1$ and regularity $r=s$ in a small neighborhood around the edges and vertices, and the
Externí odkaz:
http://arxiv.org/abs/2407.17046
By interpreting planar polynomial curves as complex-valued functions of a real parameter, an inner product, norm, metric function, and the notion of orthogonality may be defined for such curves. This approach is applied to the complex pre-image polyn
Externí odkaz:
http://arxiv.org/abs/2402.09850
We present an isogeometric collocation method for solving the biharmonic equation over planar bilinearly parameterized multi-patch domains. The developed approach is based on the use of the globally $C^4$-smooth isogeometric spline space [34] to appr
Externí odkaz:
http://arxiv.org/abs/2311.03080
Analysis-suitable $G^1$ (AS-$G^1$) multi-patch spline surfaces [4] are particular $G^1$-smooth multi-patch spline surfaces, which are needed to ensure the construction of $C^1$-smooth multi-patch spline spaces with optimal polynomial reproduction pro
Externí odkaz:
http://arxiv.org/abs/2308.09007
Splines over triangulations and splines over quadrangulations (tensor product splines) are two common ways to extend bivariate polynomials to splines. However, combination of both approaches leads to splines defined over mixed triangle and quadrilate
Externí odkaz:
http://arxiv.org/abs/2302.08278
Publikováno v:
In Journal of Computational and Applied Mathematics 1 March 2025 456
Publikováno v:
In Computers and Mathematics with Applications 15 August 2024 168:46-57
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 May 2024 424
Autor:
Kapl, Mario, Vitrih, Vito
We study the space of $C^1$ isogeometric spline functions defined on trilinearly parameterized multi-patch volumes. Amongst others, we present a general framework for the design of the $C^1$ isogeometric spline space and of an associated basis, which
Externí odkaz:
http://arxiv.org/abs/2101.00404