A coupled IGA-meshfree discretization of arbitrary order of accuracy and without global geometry parameterization
From MaRDI portal
Publication:2632944
DOI10.1016/j.cma.2015.04.002zbMath1425.65181OpenAlexW2006230661MaRDI QIDQ2632944
Navid Valizadeh, Jiun-Shyan Chen, Yuri Bazilevs, Timon Rabczuk
Publication date: 15 May 2019
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2015.04.002
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (14)
Coupling of NURBS and meshfree RPIM for plane stress of web with openings ⋮ Static and free-vibration analyses of cracks in thin-shell structures based on an isogeometric-meshfree coupling approach ⋮ A superconvergent isogeometric formulation for eigenvalue computation of three dimensional wave equation ⋮ Meshfree truncated hierarchical refinement for isogeometric analysis ⋮ Meshfree analysis with the aid of NURBS boundary ⋮ Automatic modelling of heterotypic tunnel structures via NURBS-based meshfree method ⋮ Coupled numerical analysis for in-plane elastic \(T\)-stress evaluation in isotropic FG solids ⋮ Geometrically nonlinear analysis of thin-shell structures based on an isogeometric-meshfree coupling approach ⋮ Adaptive analysis of crack propagation in thin-shell structures via an isogeometric-meshfree moving least-squares approach ⋮ Mollified finite element approximants of arbitrary order and smoothness ⋮ Isogeometric analysis using manifold-based smooth basis functions ⋮ NURBS-enhanced maximum-entropy schemes ⋮ An isogeometric symmetric Galerkin boundary element method for two-dimensional crack problems ⋮ Reproducing kernel formulation of B-spline and NURBS basis functions: a meshfree local refinement strategy for isogeometric analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Isogeometric analysis using T-splines
- Wavelets-based NURBS simplification and fairing
- Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis
- Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
- Rotation-free isogeometric thin shell analysis using PHT-splines
- A comparison of two formulations to blend finite elements and mesh-free methods
- A consistently coupled isogeometric-meshfree method
- Isogeometric fluid-structure interaction: Theory, algorithms, and computations
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
- Meshless methods: An overview and recent developments
- Variationally consistent domain integration for isogeometric analysis
- Cell-based maximum-entropy approximants
- An isogeometric collocation method using superconvergent points
- Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons
- Blending isogeometric analysis and local \textit{maximum entropy} meshfree approximants
- An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- 3D NURBS-enhanced finite element method (NEFEM)
- Second-order convex maximum entropy approximants with applications to high-order PDE
- An arbitrary order variationally consistent integration for Galerkin meshfree methods
- Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
- Error analysis of collocation method based on reproducing kernel approximation
- ISOGEOMETRIC COLLOCATION METHODS
- Meshfree Particle Methods
- NURBS‐enhanced finite element method for Euler equations
- Reproducing kernel enhanced local radial basis collocation method
- NURBS-enhanced finite element method (NEFEM)
- Smooth, second order, non-negative meshfree approximants selected by maximum entropy
- Element‐free Galerkin methods
- A reproducing kernel method with nodal interpolation property
- Isogeometric Analysis
- Reproducing kernel particle methods for structural dynamics
- Reproducing kernel particle methods
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
This page was built for publication: A coupled IGA-meshfree discretization of arbitrary order of accuracy and without global geometry parameterization