A super-smooth C1 spline space over planar mixed triangle and quadrilateral meshes-Reference-Cited by-同舟云学术

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A super-smooth C1 spline space over planar mixed triangle and quadrilateral meshes

Published:2020-12 Issue:12 Volume:80 Page:2623-2643
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Grošelj Jan,Kapl Mario,Knez Marjeta,Takacs Thomas,Vitrih Vito

Funder

OeAD, Austria

ARRS, Slovenia

Austrian Science Fund

government of Upper Austria

ARRS, Republic of Slovenia

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference58 articles.

1. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement;Hughes;Comput. Methods Appl. Mech. Engrg.,2005

2. Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics;Tagliabue;Comput. & Fluids,2014

3. Isogeometric shell analysis with Kirchhoff-Love elements;Kiendl;Comput. Methods Appl. Mech. Engrg.,2009

4. The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches;Kiendl;Comput. Methods Appl. Mech. Engrg.,2010

5. Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations;Gómez;Comput. Methods Appl. Mech. Engrg.,2010

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1. A comparison of smooth basis constructions for isogeometric analysis;Computer Methods in Applied Mechanics and Engineering;2024-02

2. C1-smooth isogeometric spline functions of general degree over planar mixed meshes: The case of two quadratic mesh elements;Applied Mathematics and Computation;2024-01

3. Almost-C1 splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems;Computer Methods in Applied Mechanics and Engineering;2023-01

4. Quadratic splines on quad-tri meshes: Construction and an application to simulations on watertight reconstructions of trimmed surfaces;Computer Methods in Applied Mechanics and Engineering;2022-01

5. A family of C1 quadrilateral finite elements;Advances in Computational Mathematics;2021-11-03

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