Effective Integration of Sophisticated Operators in Isogeometric Analysis with igatools

DOI10.1007/978-3-319-23315-4_9zbMath1334.65219OpenAlexW2413400542MaRDI QIDQ2790388

Pablo Antolin, Massimiliano Martinelli, M. Sebastian Pauletti, Oliver Weeger, Nicola Cavallini

Publication date: 4 March 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-23315-4_9

zbMATH Keywords

algorithmfluid mechanicsisogeometric analysisgraphical exampleslibrarynonlinear incompressible solid

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element methods applied to problems in fluid mechanics (76M10) Packaged methods for numerical algorithms (65Y15)

Related Items

Isogeometric collocation methods for Cosserat rods and rod structures, An isogeometric collocation method for frictionless contact of Cosserat rods

Uses Software

• ISOGAT
• deal.ii
• Igatools

Cites Work

• Unnamed Item
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• THB-splines: The truncated basis for hierarchical splines
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• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Isogeometric analysis of structural vibrations
• Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
• Analysis of new augmented Lagrangian formulations for mixed finite element schemes
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
• Approximation of incompressible large deformation elastic problems: some unresolved issues
• Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations
• \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements
• ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS
• ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES