A stabilized element-free Galerkin method for the advection-diffusion-reaction problem

DOI10.1016/j.aml.2023.108831zbMath1522.65219OpenAlexW4385880696MaRDI QIDQ6076509

Xiaolin Li

Publication date: 21 September 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108831

zbMATH Keywords

error estimationadvection-diffusion-reaction equationmeshlessNitsche's techniquestabilized element-free Galerkin method

Mathematics Subject Classification ID

Diffusion (76R50) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Suspensions (76T20) Reaction effects in flows (76V05)

Related Items (1)

A hybrid numerical method for non-linear transient heat conduction problems with temperature-dependent thermal conductivity

Cites Work

• Analysis of a new stabilized finite element method for the reaction-convection-diffusion equations with a large reaction coefficient
• A novel space-time meshless method for nonhomogeneous convection-diffusion equations with variable coefficients
• On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• Local knot method for 2D and 3D convection-diffusion-reaction equations in arbitrary domains
• On a technique for reducing spurious oscillations in DG solutions of convection-diffusion equations
• Simulation of linear and nonlinear advection-diffusion-reaction problems by a novel localized scheme
• A new stabilized linear finite element method for solving reaction-convection-diffusion equations
• Element‐free Galerkin methods
• A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems
• Effect of an efficient numerical integration technique on the element-free Galerkin method
• Element-free Galerkin analysis of Stokes problems using the reproducing kernel gradient smoothing integration
• The dimension coupling method for 3D steady convection-diffusion-reaction problems with variable coefficients
• Meshless Galerkin analysis of the generalized Stokes problem

This page was built for publication: A stabilized element-free Galerkin method for the advection-diffusion-reaction problem