Adaptive residual Refinement in an RBF Finite difference scheme for 2D time-dependent problems
From MaRDI portal
Publication:6151983
DOI10.1007/s40314-023-02541-1OpenAlexW4390570960MaRDI QIDQ6151983
Mohsen Esmaeilbeigi, Gholamreza Garmanjani, Roberto Cavoretto
Publication date: 12 February 2024
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-023-02541-1
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Complexity and performance of numerical algorithms (65Y20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Anisotropic \(hp\)-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs
- Dynamically knots setting in meshless method for solving time-dependent propagations equation
- An analysis of the linear advection--diffusion equation using mesh-free and mesh-dependent methods.
- Meshless analysis of parabolic interface problems
- Adaptive meshless refinement schemes for RBF-PUM collocation
- Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations
- Adaptive radial basis function methods for time dependent partial differential equations
- An adaptive greedy algorithm for solving large RBF collocation problems
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- A RBF partition of unity collocation method based on finite difference for initial-boundary value problems
- Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data
- Partition of unity methods for signal processing on graphs
- A collocation method based on localized radial basis functions with reproducibility for nonlocal diffusion models
- An adaptive residual sub-sampling algorithm for kernel interpolation based on maximum likelihood estimations
- An adaptive hp-version stochastic Galerkin method for constrained optimal control problem governed by random reaction diffusion equations
- An adaptive strategy for solving convection dominated diffusion equation
- A two-stage adaptive scheme based on RBF collocation for solving elliptic PDEs
- Local radial basis function collocation method for Stokes equations with interface conditions
- The parameter \(R^ 2\) in multiquadric interpolation
- Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme
- An efficient method based on RBFs for multilayer data interpolation with application in air pollution data analysis
- A numerical algorithm for multidimensional modeling of scattered data points
- Gaussian radial basis function interpolant for the different data sites and basis centers
- Unsymmetric and symmetric meshless schemes for the unsteady convection-diffusion equation
- Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
- A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions
- The Runge phenomenon and spatially variable shape parameters in RBF interpolation
- A new adaptive mesh refinement strategy for numerically solving evolutionary PDE's
- On the new variable shape parameter strategies for radial basis functions
- Dynamic node adaptive strategy for nearly singular problems on large domains
- Adaptive LOOCV-based kernel methods for solving time-dependent BVPs
- An adaptive approach for solving fourth-order partial differential equations: algorithm and applications to engineering models
- Scattered Data Interpolation: Tests of Some Method
- An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations
- Three-Dimensional Adaptive Mesh Refinement for Hyperbolic Conservation Laws
- Spectral convergence of multiquadric interpolation
- An adaptive mesh-moving and local refinement method for time-dependent partial differential equations
- Radial Basis Functions
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- A local meshless method for the numerical solution of space‐dependent inverse heat problems
- A shift‐adaptive meshfree method for solving a class of initial‐boundary value problems with moving boundaries in one‐dimensional domain
- Scattered Data Approximation
- A hybrid radial basis functions collocation technique to numerically solve fractional advection–diffusion models
