On the performance of SOLD methods for convection-diffusion problems with interior layers
From MaRDI portal
Publication:968315
DOI10.1504/IJCSM.2007.016534zbMath1185.65212MaRDI QIDQ968315
Publication date: 5 May 2010
Published in: International Journal of Computing Science and Mathematics (Search for Journal in Brave)
convection-diffusion equationsinterior layersSOLD methodsspurious oscillations at layers diminishingstreamline-upwind Petrov-Galerkin (SUPG) method
Related Items
Gibbs phenomena for Lq-best approximation in finite element spaces, Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations, Numerical study of SUPG and LPS methods combined with higher order variational time discretization schemes applied to time-dependent linear convection-diffusion-reaction equations, Numerical solution of steady-state groundwater flow and solute transport problems: discontinuous Galerkin based methods compared to the streamline diffusion approach, An algebraically stabilized method for convection-diffusion-reaction problems with optimal experimental convergence rates on general meshes, Numerical solution of convection-diffusion equations using a nonlinear method of upwind type, A numerical assessment of finite element discretizations for convection-diffusion-reaction equations satisfying discrete maximum principles, A numerical method for mass conservative coupling between fluid flow and solute transport, A posteriori optimization of parameters in stabilized methods for convection-diffusion problems. II, Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation, Analysis of stabilized higher-order finite element approximation of nonstationary and nonlinear convection-diffusion-reaction equations, Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012, Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion, An assessment of discretizations for convection-dominated convection-diffusion equations, Collision in a cross-shaped domain - A steady 2D Navier-Stokes example demonstrating the importance of mass conservation in CFD, An algebraic variational multiscale-multigrid method based on plain aggregation for convection-diffusion problems, On the stable solution of transient convection-diffusion equations, Variational multiscale finite-element methods for a nonlinear convection-diffusion-reaction equation, On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for \(P_{1}\) and \(Q_{1}\) finite elements