An approximate \(C^1\) multi-patch space for isogeometric analysis with a comparison to Nitsche's method
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Publication:2096824
DOI10.1016/j.cma.2022.115592OpenAlexW4297499200MaRDI QIDQ2096824
Pascal Weinmüller, Thomas Takacs
Publication date: 11 November 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.04516
biharmonic equationgeometric continuityNitsche's methodfourth order partial differential equation\(C^1\) continuityapproximate \(C^1\) continuity
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Isogeometric methods applied to problems in solid mechanics (74S22)
Related Items (7)
Almost-\(C^1\) splines: biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems ⋮ Isogeometric analysis for multi-patch structured Kirchhoff-Love shells ⋮ Extraction and application of super-smooth cubic B-splines over triangulations ⋮ Multigrid solvers for isogeometric discretizations of the second biharmonic problem ⋮ Adaptive isogeometric methods with C1 (truncated) hierarchical splines on planar multi-patch domains ⋮ Rational reparameterization of unstructured quadrilateral meshes for isogeometric analysis with optimal convergence ⋮ A comparison of smooth basis constructions for isogeometric analysis
Uses Software
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