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CAD-compatible structural shape optimization with a movable Bézier tetrahedral mesh (Q2186843)

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Language	Label	Description	Also known as
English	CAD-compatible structural shape optimization with a movable Bézier tetrahedral mesh	scientific article

Statements

scholarly article

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CAD-compatible structural shape optimization with a movable Bézier tetrahedral mesh (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

10 June 2020

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zbMATH Keywords

shape optimization

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Bézier tetrahedra

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isogeometric analysis

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moving mesh

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IGES

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2020.113066

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Arbitrary discontinuities in finite elements

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Isogeometric structural shape optimization

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Full analytical sensitivities in NURBS based isogeometric shape optimization

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Isogeometric shape optimization of vibrating membranes

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A novel node-based structural shape optimization algorithm

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NURBS-enhanced finite element method (NEFEM)

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3D NURBS-enhanced finite element method (NEFEM)

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Conversion from Bézier rectangles to Bézier triangles

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Isogeometric triangular Bernstein-Bézier discretizations: automatic mesh generation and geometrically exact finite element analysis

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Rotation-free Bernstein-Bézier elements for thin plates and shells -- development and validation

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Kirchhoff-Love shell formulation based on triangular isogeometric analysis

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Triangulation-based isogeometric analysis of the Cahn-Hilliard phase-field model

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Continuity and convergence in rational triangular Bézier spline based isogeometric analysis

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Isogeometric analysis with Bézier tetrahedra

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Isogeometric unstructured tetrahedral and mixed-element Bernstein-Bézier discretizations

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Isogeometric shape optimization on triangulations

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Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements

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Automatic mesh update with the solid-extension mesh moving technique

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Modelling of fluid–structure interactions with the space–time finite elements: Solution techniques

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A shape optimization approach based on natural design variables and shape functions

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Spline Functions on Triangulations

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Isogeometric finite element data structures based on Bézier extraction of NURBS

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Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis

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ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES

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Foundations of the blended isogeometric discontinuous Galerkin (BIDG) method

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The method of moving asymptotes—a new method for structural optimization

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Structural Synthesis by Combining Approximation Concepts and Dual Methods

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Structural optimization: A new dual method using mixed variables

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A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations

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Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces

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Mesh quality metrics for isogeometric Bernstein-Bézier discretizations

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Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines

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Identifiers

zbMATH Open document ID

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10.1016/j.cma.2020.113066

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2186843

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