Hierarchical \(p\)-version \(C^1\) finite elements on quadrilateral and triangular domains with curved boundaries and their applications to Kirchhoff plates

Thin bodies, structures (74Kxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

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Computation of incompressible thermal flows using Hermite finite elements
Isogeometric shell analysis with Kirchhoff-Love elements
The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
Studies of refinement and continuity in isogeometric structural analysis
A hierarchic family of \(C^ 1\) finite elements for \(4^{th}\) order elliptic problems
Hierarchies of conforming finite elements for plane elasticity and plate bending
Curved finite elements of class \(C^ 1\): Implementation and numerical experiments. I: Construction and numerical tests of the interpolation properties
Interpolated boundary conditions in plate bending problems using \(C^1\)-curved finite elements
Nitsche's method for a coupling of isogeometric thin shells and blended shell structures
Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format
Weak form quadrature element method for accurate free vibration analysis of thin skew plates
Non-uniform rational Lagrange functions and its applications to isogeometric analysis of in-plane and flexural vibration of thin plates
In-plane vibration analysis of plates in curvilinear domains by a differential quadrature hierarchical finite element method
Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
Large strain, two-scale computational approach using \(C^1\) continuity finite element employing a second gradient theory
Generalization of the \(C^1\) TUBA plate finite elements to the geometrically exact Kirchhoff-Love shell model
An Algorithm for Computing Fekete Points in the Triangle
Tensor product Gauss-Lobatto points are Fekete points for the cube
A thin plate formulation without rotation DOFs based on the radial point interpolation method and triangular cells
Implementation of a C1 triangular element based on the P-version of the finite element method
High-accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain
Thep-Version of the Finite Element Method
On the construction of conforming rectangular plate elements
Hierarchal triangular elements using orthogonal polynomials
A Hermite finite element method for incompressible fluid flow
Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation

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