The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems

DOI10.1016/j.amc.2008.03.021zbMath1153.65098OpenAlexW2033461083MaRDI QIDQ942406

Zhiyong Si, Xinlong Feng, Abdurishit Abuduwali

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.03.021

zbMATH Keywords

stabilityconvergenceconvection-diffusion problemGalerkin finite element methodRunge-Kutta methodsemidiscretization

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (10)

RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation ⋮ Convergence analysis of a fully-discrete FEM for singularly perturbed two-parameter parabolic PDE ⋮ The lowest order characteristic mixed finite element scheme for convection-dominated diffusion problem ⋮ High-order compact solution of the one-dimensional heat and advection-diffusion equations ⋮ SDFEM for singularly perturbed parabolic initial-boundary-value problems on equidistributed grids ⋮ The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems ⋮ A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces ⋮ 3D unsteady diffusion and reaction-diffusion with singularities by GFEM with 27-node hexahedrons ⋮ Quasi-linear convection-dominated transport problem based on characteristics-mixed finite element method ⋮ Method of Order Reduction for the High-Dimensional Convection-Diffusion-Reaction Equation with Robin Boundary Conditions Based on MQ RBF-FD

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element methods for linear hyperbolic problems
• Using rectangularqpelements in the SDFEM for a convection-diffusion problem with a boundary layer
• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• The finite difference streamline diffusion method for the incompressible Navier-Stokes equations.
• Modified streamline diffusion schemes for convection-diffusion problems
• How accurate is the streamline-diffusion FEM inside characteristic (boundary and interior) layers?
• Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
• ADAPTIVE FINITE ELEMENT METHODS FOR REACTIVE COMPRESSIBLE FLOW
• Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
• Finite Element Methods and Their Applications
• Some a posteriori error estimates of the finite-difference streamline-diffusion method for convection-dominated diffusion equations

This page was built for publication: The semi-discrete streamline diffusion finite element method for time-dependent convection-diffusion problems