The complete flux scheme -- error analysis and application to plasma simulation

DOI10.1016/j.cam.2013.03.011zbMath1285.65055OpenAlexW1994365202MaRDI QIDQ2448360

D. B. Mihailova, Lei Liu, J. van Dijk, J. J. A. M. van der Mullen, Jan H. M. ten Thije Boonkkamp

Publication date: 30 April 2014

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.2013.03.011

zbMATH Keywords

error analysisplasma modelcomplete flux schemeexponential difference scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (10)

High-order Scharfetter-Gummel-based schemes and applications to gas discharge modeling ⋮ Approximation of the convective flux in the incompressible Navier-Stokes equations using local boundary-value problems ⋮ Numerical Dissipation and Dispersion of the Homogeneous and Complete Flux Schemes ⋮ Uniform second order convergence of a complete flux scheme on unstructured 1D grids for a singularly perturbed advection-diffusion equation and some multidimensional extensions ⋮ Combining the hybrid mimetic mixed method with the Scharfetter-Gummel scheme for magnetised transport in plasmas ⋮ A weighted hybridizable discontinuous Galerkin method for drift-diffusion problems ⋮ Novel Flux Approximation Schemes for Systems of Coupled Advection-Diffusion-Reaction Equations ⋮ A finite volume-complete flux scheme for a polluted groundwater site ⋮ Complete flux scheme for elliptic singularly perturbed differential-difference equations ⋮ A Two-Dimensional Complete Flux Scheme in Local Flow Adapted Coordinates

Uses Software

• Matlab
• Octave
• Bolsig

Cites Work

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• The finite volume-complete flux scheme for advection-diffusion-reaction equations
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• A Uniformly Accurate Finite Element Method for a Singular Perturbation Problem in Conservative Form
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
• The Multivariable Method in Singular Perturbation Analysis
• Numerical method for boundary layers with blowing - The exponential box scheme
• Numerical Methods for Elliptic and Parabolic Partial Differential Equations

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