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Adaptive methods with C1 1 splines for multi-patch surfaces and shells
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DOI：10.1016/j.cma.2024.117287.png)
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摘要
En 中文
We introduce an adaptive isogeometric method for multi-patch surfaces and Kirchhoff-Love shell structures with hierarchical splines characterized by C1 1 continuity across patches. We extend the construction of smooth hierarchical splines from the multi-patch planar setting to analysis suitable G1 1 surfaces. The adaptive scheme to solve fourth order partial differential equations is presented in a general framework before showing its application for the numerical solution of the bilaplacian and the Kirchhoff-Love model problems. A selection of numerical examples illustrates the performance of hierarchical adaptivity on different multi-patch surface configurations.
Keyword:
Isogeometric analysis
Adaptivity
Hierarchical splines
Multi-patch surfaces
Biharmonic problem
Kirchhoff-Love shells
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期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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