A meshfree method based on radial basis functions for the eigenvalues of transient Stokes equations
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Publication:2520234
DOI10.1016/j.enganabound.2012.04.001zbMath1351.76142OpenAlexW2077624637MaRDI QIDQ2520234
Publication date: 13 December 2016
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2012.04.001
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral methods applied to problems in fluid mechanics (76M22) Stokes and related (Oseen, etc.) flows (76D07) Boundary element methods applied to problems in fluid mechanics (76M15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items (9)
Performance analyses of mesh-based local finite element method and meshless global RBF collocation method for solving Poisson and Stokes equations ⋮ Solution of Stokes flow problem using biharmonic equation formulation and multiquadrics method ⋮ A meshless Chebyshev collocation method for eigenvalue problems of the Helmholtz equation ⋮ An MHD Stokes eigenvalue problem and its approximation by a spectral collocation method ⋮ A new method for evaluating options based on multiquadric RBF-FD method ⋮ Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media ⋮ Chebyshev spectral collocation method approximations of the Stokes eigenvalue problem based on penalty techniques ⋮ On the new variable shape parameter strategies for radial basis functions ⋮ Numerical investigation of the nonlinear modified anomalous diffusion process
Uses Software
Cites Work
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- A method for solving partial differential equations via radial basis functions: application to the heat equation
- Solving an eigenvalue problem with a periodic domain using radial basis functions
- Are there localized eddies in the trihedral corners of the Stokes eigenmodes in cubical cavity?
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- A numerical study of some radial basis function based solution methods for elliptic PDEs
- Modified homotopy perturbation method for solving the Stokes equations
- A meshless method for numerical solution of the coupled Schrödinger-KdV equations
- Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method.
- Solving a system of nonlinear integral equations by an RBF network
- Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods
- Eigenvalues of the Stokes operator versus the Dirichlet Laplacian in the plane
- Error estimates for finite element method solution of the Stokes problem in the primitive variables
- On a mixed finite element approximation of the Stokes problem. I: Convergence of the approximate solutions
- The full approximation accuracy for the stream function-vorticity- pressure method
- On the method of functional equations and the performance of desingularized boundary element methods
- Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
- Observations on the behavior of radial basis function approximations near boundaries
- Solution of Stokes flow using an iterative DRBEM based on compactly-supported, positive-definite radial basis function.
- Computing eigenmodes of elliptic operators using radial basis functions
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- A numerical existence proof of nodal lines for the first eigenfunction of the plate equation
- Asymptotic expansions and extrapolations of eigenvalues for the Stokes problem by mixed finite element methods
- Boundary element solution of thermal creep flow in microfluidic devices
- Normalized RBF networks: application to a system of integral equations
- Finite Element Methods for Navier-Stokes Equations
- LAPACK Users' Guide
- Eigenvalue Approximation by Mixed and Hybrid Methods
- Simple nonconforming quadrilateral Stokes element
- Superconvergence of nonconforming finite element method for the Stokes equations
- Superconvergence of Finite Element Approximations for the Stokes Problem by Projection Methods
- Scattered Data Approximation
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