A new combined finite element-upwind finite volume method for convection-dominated diffusion problems

DOI10.1002/num.22027zbMath1339.65208OpenAlexW1910626420MaRDI QIDQ2808863

Pengtao Sun, Mingyan He, Cheng Wang

Publication date: 25 May 2016

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22027

zbMATH Keywords

stabilitynumerical experimentsfinite elementhigh-order accuracyoptimal convergencenumerical dispersionnumerical oscillationconvection-dominated diffusion problemsweighted upwind finite volume method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 volume methods for boundary value problems involving PDEs (65N08)

Related Items (3)

A mass-conservative higher-order ADI method for solving unsteady convection-diffusion equations ⋮ An upwind finite volume method for convection-diffusion equations on rectangular mesh ⋮ Stability and error estimates of a new high-order compact ADI method for the unsteady 3D convection-diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• Covolume-upwind finite volume approximations for linear elliptic partial differential equations
• Pointwise error estimates for a streamline diffusion finite element scheme
• Finite element methods for linear hyperbolic problems
• Modeling studies and efficient numerical methods for proton exchange membrane fuel cell
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Finite element methods for the Helmholtz equation in an exterior domain: Model problems
• Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
• A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems
• Modelling nonlocal processes in semiconductor devices with exponential difference schemes
• A finite element method for the numerical solution of convection-dominated anisotropic diffusion equations
• A two-grid combined finite element-upwind finite volume method for a nonlinear convection-dominated diffusion reaction equation
• Stability and accuracy of adapted finite element methods for singularly perturbed problems
• On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems
• An optimal weighted upwinding covolume method on non-standard grids for convection–diffusion problems in 2D
• New Numerical Techniques for a Three-Dimensional Liquid-Feed Direct Methanol Fuel Cell Model
• Crosswind Smear and Pointwise Errors in Streamline Diffusion Finite Element Methods
• On a conservation upwind finite element scheme for convective diffusion equations
• A monotone finite element scheme for convection-diffusion equations
• Convergence of Upwind Finite Volume Schemes for Scalar Conservation Laws in Two Dimensions
• On a coupled finite element-finite volume method for convection-diffusion problems
• A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
• Some a posteriori error estimates of the finite-difference streamline-diffusion method for convection-dominated diffusion equations

This page was built for publication: A new combined finite element-upwind finite volume method for convection-dominated diffusion problems