Fast meshfree methods for nonlinear radiation diffusion equation

DOI10.1016/J.AMC.2022.127571OpenAlexW4300982433MaRDI QIDQ2096320

Jiye Yang, Qiuyan Xu, Rong Wang, Zhi-yong Liu

Publication date: 16 November 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127571

zbMATH Keywords

radial basis functionKansa's methodradiation diffusion equationfull-implicit discretizationsuccessive permutation iteration

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)

Uses Software

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Cites Work

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• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
• Efficient solution of multi-dimensional flux-limited nonequilibrium radiation diffusion coupled to material conduction with second-order time discretization
• Solving the elliptic Monge-Ampère equation by Kansa's method
• Monotone Finite Volume Schemes of Nonequilibrium Radiation Diffusion Equations on Distorted Meshes
• P₁Nonconforming Finite Element Multigrid Method for Radiation Transport
• Picard-Newton Iterative Method with Time Step Control for Multimaterial Non-Equilibrium Radiation Diffusion Problem
• Finite volume element methods for nonequilibrium radiation diffusion equations
• The computational method for nonlinear parabolic equation
• Multigrid approaches to non‐linear diffusion problems on unstructured meshes

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