An enhanced-strain error estimator for Galerkin meshfree methods based on stabilized conforming nodal integration
From MaRDI portal
Publication:1667634
DOI10.1016/j.camwa.2017.06.052zbMath1397.65294OpenAlexW2748094583MaRDI QIDQ1667634
Marcus Olavi Rüter, Jiun-Shyan Chen
Publication date: 30 August 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.052
a posteriori error estimationreproducing kernel particle method (RKPM)gradient smoothingenhanced assumed strain (EAS) methodstabilized conforming nodal integration (SCNI)
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
A stabilized one-point integrated mixed formulation for finite element and meshfree methods in modeling nearly incompressible materials, An accuracy analysis of Galerkin meshfree methods accounting for numerical integration, A variational multiscale stabilized and locking-free meshfree formulation for Reissner-Mindlin plate problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adaptive element-free Galerkin method applied to the limit analysis of plates
- The superconvergent patch recovery (SPR) and adaptive finite element refinement
- Mesh adaptations for linear 2D finite-element discretizations in structural mechanics, especially in thin shell analysis
- A smoothed finite element method for mechanics problems
- An automatic adaptive refinement procedure for the reproducing kernel particle method. I: Stress recovery and a posteriori error estimation
- An error estimate in the EFG method
- A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
- Moving least-square reproducing kernel methods. I: Methodology and convergence
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- Element-free Galerkin methods in combination with finite element approaches
- Enforcement of essential boundary conditions in meshless approximations using finite elements
- Consistent pseudo-derivatives in meshless methods
- Filters, reproducing kernel, and adaptive meshfree method
- An adaptive approach with the element-free-Galerkin method
- Enhanced assumed strain elements and locking in membrane problems
- On some techniques for approximating boundary conditions in the finite element method
- Selected computational aspects of the meshless finite difference method
- 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)
- The finite element method with Lagrangian multipliers
- Goal-oriented a posteriori error estimates in linear elastic fracture mechanics
- An arbitrary order variationally consistent integration for Galerkin meshfree methods
- Constant-free explicit error estimator with sharp upper error bound property for adaptive FE analysis in elasticity and fracture
- A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
- Improvement of the superconvergent patch recovery technique by the use of constraint equations: the SPR-C technique
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- A simple error estimator and adaptive procedure for practical engineerng analysis
- The Finite Element Method with Penalty
- Element‐free Galerkin methods
- A procedure for approximation of the error in the EFG method
- A reproducing kernel method with nodal interpolation property
- A gradient-based adaptation procedure and its implementation in the element-free Galerkin method
- A posteriorierror approximation in EFG method
- A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity
- Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods
- Linear and non‐linear finite element error estimation based on assumed strain fields
- A class of mixed assumed strain methods and the method of incompatible modes
- A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates
- On the calculation of consistent stress distributions in finite element approximations
- Error analysis of the reproducing kernel particle method
- Continuous meshless approximations for nonconvex bodies by diffraction and transparency
