Numerical simulations of nonlocal phase-field and hyperbolic nonlocal phase-field models via localized radial basis functions-based pseudo-spectral method (LRBF-PSM)
DOI10.1016/j.amc.2018.05.057zbMath1427.82029OpenAlexW2808825679WikidataQ129627629 ScholiaQ129627629MaRDI QIDQ2335679
Publication date: 15 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.05.057
Heat equation (35K05) Free boundary problems for PDEs (35R35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Spectral, collocation and related (meshless) methods applied to problems in statistical mechanics (82M22)
Related Items (3)
Uses Software
Cites Work
- A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Integration constraint in diffuse element method
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Meshfree explicit local radial basis function collocation method for diffusion problems
- Numerical solution of an etching problem
- An analysis of a phase field model of a free boundary
- A conserving discretization for the free boundary in a two-dimensional Stefan problem
- Solving partial differential equations by collocation using radial basis functions
- A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems
- A simple level set method for solving Stefan problems
- A multiquadric interpolation method for solving initial value problems
- On a nonlocal phase separation model
- Local multiquadric approximation for solving boundary value problems
- Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface
- Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems
- Asymptotic behavior of a parabolic-hyperbolic system
- Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen--Cahn equation.
- Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions
- A non-smooth version of the Lojasiewicz-Simon theorem with applications to non-local phase-field systems
- A front-tracking method for dendritic solidification
- Computation of three dimensional dendrites with finite elements
- A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals
- On a Caginalp phase-field system with two temperatures and memory
- The localized RBFs collocation methods for solving high dimensional PDEs
- On a nonlocal phase-field system
- A general theory of heat conduction with finite wave speeds
- Phase Field Equations with Memory: The Hyperbolic Case
- On the Early Exercise Boundary of the American Put Option
- From Global to Local Radial Basis Function Collocation Method for Transport Phenomena
- On Computations with Dense Structured Matrices
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- Reproducing kernel particle methods
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A nonlocal phase-field system with inertial term
- Well‐posedness and long time behavior of a parabolic‐hyperbolic phase‐field system with singular potentials
- Methods of conjugate gradients for solving linear systems
- Hyperbolic phase-field dynamics with memory
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Numerical simulations of nonlocal phase-field and hyperbolic nonlocal phase-field models via localized radial basis functions-based pseudo-spectral method (LRBF-PSM)