Finite subdomain radial basis collocation method
From MaRDI portal
Publication:2512498
DOI10.1007/s00466-014-0981-9zbMath1398.65315OpenAlexW2006693142MaRDI QIDQ2512498
Fu-yun Chu, Li-hua Wang, Zheng Zhong
Publication date: 7 August 2014
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-014-0981-9
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Interpolation in approximation theory (41A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
Solving the stationary Navier-Stokes equations by using Taylor meshless method ⋮ Buckling analysis of functionally graded thin plate with in-plane material inhomogeneity ⋮ Radial basis functions methods for boundary value problems: performance comparison ⋮ A gradient reproducing kernel based stabilized collocation method for the static and dynamic problems of thin elastic beams and plates ⋮ Stabilized Lagrange interpolation collocation method: a meshfree method incorporating the advantages of finite element method ⋮ A weighted meshfree collocation method for incompressible flows using radial basis functions ⋮ A stabilized collocation method based on the efficient gradient reproducing kernel approximations for the boundary value problems ⋮ A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation ⋮ An efficient meshfree gradient smoothing collocation method (GSCM) using reproducing kernel approximation ⋮ A meshless radial basis function based on partition of unity method for piezoelectric structures ⋮ Intrinsic extended isogeometric analysis with emphasis on capturing high gradients or singularities ⋮ Direct collocation method for identifying the initial conditions in the inverse wave problem using radial basis functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
- Radial basis collocation methods for elliptic boundary value problems
- Meshless thin plate spline methods for the modified Helmholtz equation
- Multivariate interpolation at arbitrary points made simple
- Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Solving partial differential equations by collocation using radial basis functions
- The partition of unity finite element method: basic theory and applications
- Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
- Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
- Pin-pointing solution of ill-conditioned square systems of linear equations
- Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
- A least-squares preconditioner for radial basis functions collocation methods
- Adaptive radial basis function methods for time dependent partial differential equations
- Multizone decomposition for simulation of time-dependent problems using the multiquadratic scheme
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Error estimates and condition numbers for radial basis function interpolation
- Compactly supported positive definite radial functions
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- On approximate cardinal preconditioning methods for solving PDEs with radial basis functions
- Improved numerical solver for Kansa's method based on affine space decomposition
- Transport schemes on a sphere using radial basis functions
- Study of radial basis collocation method for wave propagation
- Stable PDE Solution Methods for Large Multiquadric Shape Parameters
- Subdomain radial basis collocation method for fracture mechanics
- Weighted radial basis collocation method for boundary value problems
- Reproducing kernel enhanced local radial basis collocation method
- Subdomain radial basis collocation method for heterogeneous media
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
- Element‐free Galerkin methods
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- A new class of radial basis functions with compact support
- Domain decomposition for radial basis meshless methods
- A point interpolation meshless method based on radial basis functions
- Reproducing kernel particle methods for structural dynamics
