Almost-\(C^1\) splines: biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems
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Publication:2679426
DOI10.1016/j.cma.2022.115640OpenAlexW4307296182MaRDI QIDQ2679426
Deepesh Toshniwal, Thomas Takacs
Publication date: 20 January 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.11491
optimal approximationisogeometric analysisunstructured quadrilateral meshesanalysis-suitable splinesalmost-\(C^1\) splines
Related Items (8)
\(C^1\)-smooth isogeometric spline functions of general degree over planar mixed meshes: the case of two quadratic mesh elements ⋮ Scaled boundary isogeometric analysis with \(C^1\) coupling for Kirchhoff plate theory ⋮ Isogeometric analysis for multi-patch structured Kirchhoff-Love shells ⋮ Adaptive isogeometric phase-field modeling of the Cahn-Hilliard equation: suitably graded hierarchical refinement and coarsening on multi-patch geometries ⋮ 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 ⋮ Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout
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