Cubic Isogeometric Analysis With Complex Meshes

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Biomechanics simulations using cubic Hermite meshes with extraordinary ...

Cubic Hermite hexahedral finite element meshes have some well-known advantages over linear tetrahedral finite element meshes in biomechanical and anatomic modeling using isogeometric analysis . These include faster convergence rates as well as the ability to easily model rule-based anatomic features such as cardiac fiber directions. However, it is not possible to create closed complex objects ...

Research Deepesh Toshniwal

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Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: Geometric design and isogeometric analysis considerations. D. Toshniwal, H. Speleers and T.J.R. Hughes. Computer Methods in Applied Mechanics and Engineering, 327, 411-458, 2017. paper

We present an isogeometric analysis (IGA) framework for structural vibrations involving complex geometries. The framework is based on the Complex -Geometry IGA Mesh Generation (CGIMG) method. The CGIMG process is flexible and can accommodate, without a major effort, challenging complex -geometry applications in computational mechanics. To demonstrate how the new IGA framework significantly ...

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(PDF) Isogeometric analysis in computation of complex

Isogeometric analysis in computation of complex -geometry flow problems with moving boundaries and interfaces November 2023 Mathematical Models and Methods in Applied Sciences 34 (01)

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Meshfree local refinement of second level: a isogeometric mesh; b. For Cubic Isogeometric Analysis With Complex Meshes, this point helps readers notice the most relevant visual details before moving into the gallery.

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