Št. zadetkov: 9
Izvirni znanstveni članek
Oznake:
izogeometrična analiza;geometrijska zveznost;zveznost drugega reda;domena iz dveh krp;kvazi bilinerna;isogeometric analysis;geometric continuity;second order continuity;two-patch domain;bilinear-like;
Dimension and basis construction for C2-smooth isogeometric spline spaces over bilinear-like G2 two-patch parameterizations
Leto:
2018
Vir:
Univerza na Primorskem (UP)
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Oznake:
izogeometrična analiza;triharmonična enačba;geometrijska zveznost;večkrpa domena;isogeometric analysis;triharmonic equation;geometric continuity;multi-patch domain;
Solving the triharmonic equation over multi-patch planar domains using isogeometric analysis
Leto:
2019
Vir:
Univerza na Primorskem (UP)
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Oznake:
izogeomerična analiza;superkonvergentne točke;zveznost drugega reda;večkrpe domene;Poissonova enačba;isogeometric analysis;collocation;superconvergent points;second order continuity;multi-patch domain;Poisson's equation;
Isogeometric collocation on planar multi-patch domains
Leto:
2020
Vir:
Univerza na Primorskem (UP)
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Oznake:
isogeometric analysis;geometric continuity;multi-patch domain;bilinear-like;
Leto:
2021
Vir:
Repozitorij Univerze na Primorskem (RUP)
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Oznake:
isogeometric analysis;Galerkin method;C^s-smoothness;mixed degree and regularity spline space;multi-patch domain;
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 degree~$\widetilde{p} \leq p$ with regularity $\wi ...
Leto:
2026
Vir:
Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
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Oznake:
isogeometric analysis;Galerkin method;C^s-smoothness;Tearing and Interconnecting;multi-patch domain;polyharmonic equation;
We present a novel method for solving high-order partial differential equations (PDEs) over planar multi-patch geometries with
possibly extraordinary vertices demonstrated on the basis of the polyharmonic equation of order m, m ≥ 1, which is a particular linear elliptic PDE of order 2m. Our approa ...
Leto:
2026
Vir:
Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
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Oznake:
isogeometric analysis;collocation;C^s-smoothness;mixed degree spline space;multi-patch surface;
We present a novel isogeometric collocation method for solving the Poisson’s and the biharmonic equation over planar bilinearly parameterized multi-patch geometries. The proposed approach relies on the use of a modified construction of the Cs-smooth mixed degree isogeometric spline space [1] for s=2 ...
Leto:
2026
Vir:
Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
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Oznake:
izogeometrična analiza;geometrijska zveznost;geometrijsko vzezne izogeometrične funkcije;biharmonična enačba;isogeometric analysis;geometric continuity;geometrically continuous isogeometric functions;biharmonic equation;multi-patch domain;
We study the linear space of ▫$C^s$▫-smooth isogeometric functions defined on a multi-patch domain ▫$\Omega \subset \mathbb{R}^2$▫. We show that the construction of these functions is closely related to the concept of geometric continuity of surfaces, which has originated in geometric design. More p ...
Leto:
2015
Vir:
Univerza na Primorskem (UP)
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Oznake:
▫$C^1$▫ diskretizacija;Argyrisov trikotnik;▫$C^1$▫ štirikotni element;mešana mreža, sestavljena iz trikotnikov in štirikotnikov;▫$C^1$▫ discretization;Argyris triangle;▫$C^1$▫ quadrilateral element;mixed triangle and quadrilateral mesh;
V članku je vpeljan prostor zlepkov nad mešanimi mrežami, sestavljenimi iz trikotnikov in štirikotnikov, ki so primerne za metodo končnih elementov in izogeometrično analizo. V tem kontekstu mreža predstavlja delitev ravninske poligonske domene na trikotnike in/ali štirikotnike. Predlagani prostor z ...
Leto:
2020
Vir:
Repozitorij Univerze v Ljubljani (RUL)