Error estimate and adaptive refinement in mixed discrete least squares meshless method
From MaRDI portal
Publication:1719024
DOI10.1155/2014/721240zbMath1407.74082OpenAlexW2067265919WikidataQ59071651 ScholiaQ59071651MaRDI QIDQ1719024
A. Saboor Bagherzadeh, Jafar Amani, Timon Rabczuk
Publication date: 8 February 2019
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/721240
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On error control in the element-free Galerkin method
- A node enrichment adaptive refinement in discrete least squares meshless method for solution of elasticity problems
- Discontinuous modelling of shear bands using adaptive meshfree methods
- Enriched meshfree collocation method with diffuse derivatives for elastic fracture
- Extended meshfree methods without branch enrichment for cohesive cracks
- A discourse on the stability conditions for mixed finite element formulations
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Domain decomposition for a least-square finite element method for second order elliptic problem
- Recovery procedures in error estimation and adaptivity. I: Adaptivity in linear problems
- An improved meshless Shepard and least squares method possessing the delta property and requiring no singular weight function
- Mixed discrete least squares meshless method for planar elasticity problems using regular and irregular nodal distributions
- The background of error estimation and adaptivity in finite element computations
- Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation
- Aspects of the use of orthogonal basis functions in the element-free Galerkin method
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Mixed and Hybrid Finite Element Methods
- On the Angle Condition in the Finite Element Method
- A‐posteriori error estimates for the finite element method
- Element‐free Galerkin methods
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
- A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
- Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations
- Reproducing kernel particle methods
- Error estimate and adaptive refinement for incompressible Navier‐Stokes equations using the discrete least squares meshless method
- Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment
- Adaptivity for structured meshfree particle methods in 2D and 3D