A meshless Galerkin method for Stokes problems using boundary integral equations
From MaRDI portal
Publication:658274
DOI10.1016/j.cma.2009.04.009zbMath1229.76076OpenAlexW1991930969MaRDI QIDQ658274
Publication date: 11 January 2012
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.2009.04.009
boundary integral equationsStokes equationsGalerkin approximationmeshlessmoving least-squaresboundary node method
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (37)
On the numerical solution of Fredholm integral equations utilizing the local radial basis function method ⋮ The meshless Galerkin boundary node method for Stokes problems in three dimensions ⋮ The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions ⋮ A meshless interpolating Galerkin boundary node method for Stokes flows ⋮ A variational multiscale interpolating element-free Galerkin method for convection-diffusion and Stokes problems ⋮ Analysis of the inherent instability of the interpolating moving least squares method when using improper polynomial bases ⋮ Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method ⋮ A dual interpolation boundary face method with Hermite-type approximation for elasticity problems ⋮ On error estimator and adaptivity in the meshless Galerkin boundary node method ⋮ A dual singular hybrid boundary node method based on origin singular intensity factor ⋮ Element-free Galerkin analysis of Stokes problems using the reproducing kernel gradient smoothing integration ⋮ On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme ⋮ Development of a meshless Galerkin boundary node method for viscous fluid flows ⋮ Local radial basis function scheme for solving a class of fractional integro‐differential equations based on the use of mixed integral equations ⋮ Meshless Galerkin analysis of the generalized Stokes problem ⋮ Adaptive methodology for the meshless Galerkin boundary node method ⋮ The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis ⋮ THE MESHLESS GALERKIN BOUNDARY NODE METHOD FOR TWO-DIMENSIONAL SOLIDS ⋮ Meshless analysis of two-dimensional Stokes flows with the Galerkin boundary node method ⋮ A multiwavelet Galerkin method for Stokes problems using boundary integral equations ⋮ Meshless Galerkin algorithms for boundary integral equations with moving least square approximations ⋮ Implementation of boundary conditions in BIEs-based meshless methods: a dual boundary node method ⋮ Development of a meshless hybrid boundary node method for Stokes flows ⋮ On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method ⋮ A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions ⋮ Overlapping and non-overlapping domain decomposition methods for large-scale meshless EFG simulations ⋮ A numerical scheme for solving a class of logarithmic integral equations arisen from two-dimensional Helmholtz equations using local thin plate splines ⋮ A Galerkin boundary cover method for viscous fluid flows ⋮ On the numerical solution of nonlinear integral equations on non-rectangular domains utilizing thin plate spline collocation method ⋮ Meshless analysis and applications of a symmetric improved Galerkin boundary node method using the improved moving least-square approximation ⋮ Application of the meshless Galerkin boundary node method to potential problems with mixed boundary conditions ⋮ A posteriori error estimates and adaptive procedures for the meshless Galerkin boundary node method for 3D potential problems ⋮ A priori and a posteriori analysis of the meshless Galerkin boundary node method for three-dimensional elasticity ⋮ A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique ⋮ Thin plate spline Galerkin scheme for numerically solving nonlinear weakly singular Fredholm integral equations ⋮ Meshless boundary node methods for Stokes problems ⋮ A MESHLESS LOCAL GALERKIN INTEGRAL EQUATION METHOD FOR SOLVING A TYPE OF DARBOUX PROBLEMS BASED ON RADIAL BASIS FUNCTIONS
Cites Work
- Reproducing kernel element method. I: Theoretical formulation
- Positivity conditions in meshless collocation methods
- Error estimates for the finite point method
- Generalized finite element method for second-order elliptic operators with Dirichlet boundary conditions
- The boundary element method for three-dimensional Stokes flows exterior to an open surface
- An analysis of a mixed finite element method for the Navier-Stokes equations
- Two-dimensional linear elasticity by the boundary node method
- Moving least-square reproducing kernel methods. I: Methodology and convergence
- Moving least-square reproducing kernel method. II: Fourier analysis
- \(hp\)-meshless cloud method
- Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions
- On the approximability and the selection of particle shape functions
- Boundary cloud method: a combined scattered point/boundary integral approach for boundary-only analysis
- Boundary element solution for steady and unsteady Stokes flow
- The generalized finite element method for Helmholtz equation: theory, computation, and open problems
- Superconvergence in the generalized finite element method
- Jackson-type inequalities for \(h\)-\(p\) clouds and error estimates
- A meshfree weak-strong (MWS) form method for time-dependent problems
- The method of fundamental solutions for 2D and 3D Stokes problems
- Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation
- Meshfree Particle Methods
- Surfaces Generated by Moving Least Squares Methods
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- THE PARTITION OF UNITY METHOD
- Survey of meshless and generalized finite element methods: A unified approach
- A fast boundary cloud method for exterior 2D electrostatic analysis
- Discretization error associated with reproducing kernel methods: One-dimensional domains
- The generalized finite element method
- Error analysis of the reproducing kernel particle method
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A meshless Galerkin method for Stokes problems using boundary integral equations