High order exact geometry finite elements for seven-parameter shells with parametric and implicit reference surfaces
type: Item
instance of: scholarly article
title: High order exact geometry finite elements for seven-parameter shells with parametric and implicit reference surfaces
zbMATH Open document ID: 1465.74159
author: Michael H. Gfrerer
author: Martin Schanz
published in: Computational Mechanics
publication date: 2019-06-27T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K25
zbMATH DE Number: 7073970
zbMATH Keywords: shell surface finite element
zbMATH Keywords: exact geometry
zbMATH Keywords: implicit geometry
zbMATH Keywords: singular parametrization
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s00466-018-1661-y
OpenAlex ID: W2902020801
Wikidata QID: Q113327167
cites work: Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures
cites work: The Plate Paradox for Hard and Soft Simple Support
cites work: Stress projection for membrane and shear locking in shell finite elements
cites work: Isogeometric shell analysis: the Reissner-Mindlin shell
cites work: Q4365975
cites work: On the physical significance of higher-order kinematic and static variables in a three-dimensional shell formulation
cites work: The Finite Element Analysis of Shells - Fundamentals
cites work: Development of geometrically exact new shell elements based on general curvilinear co-ordinates
cites work: Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations
cites work: Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations
cites work: Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations
cites work: Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
cites work: Finite element methods for surface PDEs
cites work: A hierarchic family of isogeometric shell finite elements
cites work: Higher-order meshing of implicit geometries. II: Approximations on manifolds
cites work: An isogeometric solid-like shell element for nonlinear analysis
cites work: Isogeometric shell analysis with Kirchhoff-Love elements
cites work: High order unfitted finite element methods on level set domains using isoparametric mappings
cites work: Hierarchic isogeometric large rotation shell elements including linearized transverse shear parametrization
cites work: Shell curvature as an initial deformation: A geometrically exact finite element approach
cites work: Shell structures-a sensitive interrelation between physics and numerics
cites work: High-order finite elements for shells
cites work: High order Nédélec elements with local complete sequence properties
cites work: Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis
DOI: 10.1007/S00466-018-1661-Y
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description: scientific article; zbMATH DE number 7073970