Solution of Stokes flow using an iterative DRBEM based on compactly-supported, positive-definite radial basis function.

DOI10.1016/S0898-1221(01)00307-8zbMath1073.76595OpenAlexW2051508818MaRDI QIDQ1609124

R. Smith

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00307-8

zbMATH Keywords

Iterative solutionDual reciprocity boundary element methodVelocity-vorticity formulation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stokes and related (Oseen, etc.) flows (76D07) Boundary element methods applied to problems in fluid mechanics (76M15) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (10)

A local meshless collocation method for solving certain inverse problems ⋮ DRBEM solutions of Stokes and Navier-Stokes equations in cavities under point source magnetic field ⋮ Meshfree methods for nonhomogeneous Brinkman flows ⋮ Meshless analysis of two-dimensional Stokes flows with the Galerkin boundary node method ⋮ A multiwavelet Galerkin method for Stokes problems using boundary integral equations ⋮ Collocation Trefftz methods for the stokes equations with singularity ⋮ Novel meshless method for solving the potential problems with arbitrary domain ⋮ Applications of the dual integral formulation in conjunction with fast multipole method in large-scale problems for 2D exterior acoustics ⋮ A meshfree method based on radial basis functions for the eigenvalues of transient Stokes equations ⋮ The method of fundamental solutions with eigenfunctions expansion method for 3D nonhomogeneous diffusion equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary integral equation solution of viscous flows with free surfaces
• Integral equation method for the study of two dimensional Stokes flow
• Solution of Poisson's equation by iterative DRBEM using compactly supported, positive definite radial basis function
• Solution of the advection-diffusion equation using the Eulerian-Lagrangian boundary element method
• Multilevel compact radial functions based computational schemes for some elliptic problems
• Boundary element solution for half-space elasticity or Stokes problem with no-slip boundary
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Boundary element solution for steady and unsteady Stokes flow
• Iterative solution of large-scale 3D-BEM industrial problems
• Some recent results and proposals for the use of radial basis functions in the BEM
• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• Stokes flow past a particle of arbitrary shape: a numerical method of solution
• Dual reciprocity method using compactly supported radial basis functions
• Solution of the Navier-Stokes equations in velocity-vorticity form using a Eulerian-Lagrangian boundary element method

This page was built for publication: Solution of Stokes flow using an iterative DRBEM based on compactly-supported, positive-definite radial basis function.