On the stable solution of transient convection-diffusion equations

DOI10.1016/j.cam.2014.12.001zbMath1309.76121OpenAlexW1991838779MaRDI QIDQ484877

N. R. Bayramov, Johannes Kraus

Publication date: 8 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.12.001

zbMATH Keywords

dominating convectionerror estimates for time-dependent problemmonotone finite element schemetransient convection-diffusion equation

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) 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)

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Cites Work

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• Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
• An assessment of discretizations for convection-dominated convection-diffusion equations
• Numerical simulation of semiconductor devices
• On the performance of SOLD methods for convection-diffusion problems with interior layers
• On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for \(P_{1}\) and \(Q_{1}\) finite elements
• On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems
• Numerical crosswind smear in the streamline diffusion method
• High-resolution FEM--FCT schemes for multidimensional conservation laws
• Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations
• A unified convergence analysis for local projection stabilisations applied to the Oseen problem
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
• Finite element flux-corrected transport (FEM-FCT) for the euler and Navier-Stokes equations
• Finite element methods for second order differential equations with significant first derivatives
• Stability theory of difference schemes and iterative methods
• Two-Dimensional Exponential Fitting and Applications to Drift-Diffusion Models
• A monotone finite element scheme for convection-diffusion equations
• The Mathematical Theory of Finite Element Methods
• Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method

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