A NURBS-based error reproducing kernel method with applications in solid mechanics
From MaRDI portal
Publication:1015624
DOI10.1007/s00466-006-0090-5zbMath1187.74260OpenAlexW2074348107WikidataQ60585189 ScholiaQ60585189MaRDI QIDQ1015624
Publication date: 8 May 2009
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-006-0090-5
Related Items
NURBS-based parametric mesh-free methods ⋮ Isogeometric analysis of laminated composite plates based on a four-variable refined plate theory ⋮ Reproducing kernel triangular B-spline-based FEM for solving PDEs ⋮ The theory of Cosserat points applied to the analyses of wrinkled and slack membranes ⋮ A meshless generalized finite difference method for 2D elasticity problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reproducing kernel element method. I: Theoretical formulation
- Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies
- Reproducing kernel element method. III: Generalized enrichment and applications
- Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy
- Symmetric recursive algorithms for surfaces: B-patches and the de Boor algorithm for polynomials over triangles
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A meshless local boundary integral equation (LBIE) method for solving nonlinear problems
- Smoothed particle hydrodynamics stability analysis
- A boundary point interpolation method for stress analysis of solids.
- Large deformation analysis of rubber based on a reproducing kernel particle method
- Moving least-square reproducing kernel methods. I: Methodology and convergence
- Meshless methods: An overview and recent developments
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- An \(h\)-\(p\) adaptive method using clouds
- The partition of unity finite element method: basic theory and applications
- Enforcement of essential boundary conditions in meshless approximations using finite elements
- A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
- A new implementation of the element free Galerkin method
- Hierarchical enrichment for bridging scales and mesh-free boundary conditions
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Numerical results from large deflection beam and frame problems analysed by means of elliptic integrals
- Multivariate Splines
- On the Linear Independence of Multivariate B-Splines, I. Triangulations of Simploids
- Why Particle Methods Work
- A multisided generalization of Bézier surfaces
- The Computation of all the Derivatives of a B-spline Basis
- Moving-least-squares-particle hydrodynamics?I. Consistency and stability
- Element‐free Galerkin methods
- THE PARTITION OF UNITY METHOD
- A reproducing kernel method with nodal interpolation property
- Reproducing kernel particle methods for structural dynamics
- Reproducing kernel particle methods
