Meshless analysis of Darcy flow with a variational multiscale interpolating element-free Galerkin method
From MaRDI portal
Publication:1717177
DOI10.1016/j.enganabound.2017.10.017zbMath1464.76067OpenAlexW2770774720MaRDI QIDQ1717177
Publication date: 7 February 2019
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.10.017
meshless methodDarcy flowHughes' variational multiscale methodimproved interpolating moving least squares methodvariational multiscale interpolating element-free Galerkin method
Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Local maximum-entropy approximation based stabilization methods for the convection diffusion problems ⋮ Research on error estimations of the interpolating boundary element free-method for two-dimensional potential problems ⋮ Hierarchical basis in \(H^{\operatorname{div}}\) space for a mixed finite element formulation of the Darcy problem ⋮ Solving steady-state lid-driven square cavity flows at high Reynolds numbers via a coupled improved element-free Galerkin-reduced integration penalty method ⋮ The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow ⋮ Variational multiscale interpolating element-free Galerkin method for the nonlinear Darcy-Forchheimer model ⋮ Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method ⋮ A novel stabilized Galerkin meshless method for steady incompressible Navier-Stokes equations ⋮ Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation ⋮ An improved boundary point interpolation method for exterior acoustic radiation problem ⋮ Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems ⋮ The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems
Cites Work
- Error estimates for the interpolating moving least-squares method
- Implementation of boundary conditions in BIEs-based meshless methods: a dual boundary node method
- On the stability of the moving least squares approximation and the element-free Galerkin method
- Meshless Galerkin algorithms for boundary integral equations with moving least square approximations
- A multiscale/stabilized finite element method for the advection-diffusion equation
- Pseudo-divergence-free element free Galerkin method for incompressible fluid flow
- The variational multiscale element free Galerkin method for MHD flows at high Hartmann numbers
- Error estimates for the moving least-square approximation and the element-free Galerkin method in \(n\)-dimensional spaces
- A computational study of stabilized, low-order \(C^{0}\) finite element approximations of Darcy equations
- A Petrov-Galerkin enriched method: a mass conservative finite element method for the Darcy equation
- A novel interpolating element-free Galerkin (IEFG) method for two-dimensional elastoplasticity
- Meshless modeling of natural convection problems in non-rectangular cavity using the variational multiscale element free Galerkin method
- A variational multiscale interpolating element-free Galerkin method for convection-diffusion and Stokes problems
- Improved complex variable moving least squares approximation for three-dimensional problems using boundary integral equations
- Error analysis in Sobolev spaces for the improved moving least-square approximation and the improved element-free Galerkin method
- Steady heat conduction analyses using an interpolating element-free Galerkin scaled boundary method
- Interpolating element-free Galerkin method for the regularized long wave equation and its error analysis
- A stabilized mixed finite element method for Darcy flow
- Meshless projection iterative analysis of Signorini problems using a boundary element-free method
- Analysis and application of the element-free Galerkin method for nonlinear sine-Gordon and generalized sinh-Gordon equations
- An interpolating boundary element-free method for three-dimensional potential problems
- Analysis of the complex moving least squares approximation and the associated element-free Galerkin method
- Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation
- On a multi-scale element-free Galerkin method for the Stokes problem
- A stabilized mixed finite element method for Darcy flow based on a multiscale decomposition of the solution
- An improved meshless method with almost interpolation property for isotropic heat conduction problems
- The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Variational multiscale element-free Galerkin method for 2D Burgers' equation
- A high-order, analytically divergence-free discretization method for Darcy’s problem
- An Absolutely Stabilized Finite Element Method for the Stokes Problem
- Surfaces Generated by Moving Least Squares Methods
- Mixed and Hybrid Finite Element Methods
- Element‐free Galerkin methods
- Radial basis function collocation method solution of natural convection in porous media
- A weak Galerkin finite element method for a coupled Stokes‐Darcy problem