High-order perturbation-difference scheme for a convection-diffusion problem
DOI10.1016/S0045-7825(99)00444-2zbMath0993.76052OpenAlexW2094674126MaRDI QIDQ1595105
Publication date: 31 January 2001
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00444-2
existenceerror estimatesuniform convergencehigh-order convergencemodified upwind methodone-dimensional singularly perturbed convection-diffusion problemperturbation-difference schemeweighted central scheme
Finite difference methods applied to problems in fluid mechanics (76M20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Diffusion and convection (76R99)
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Cites Work
- Cubic spline method for a class of nonlinear singularly-perturbed boundary-value problems
- The midpoint upwind scheme
- A high-order upwind method for the convection-diffusion problem
- Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
- Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
- Finite Volume Solutions of Convection-Diffusion Test Problems
- On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems
- Analysis of a supraconvergent cell vertex finite-volume method for one-dimensional convection-diffusion problems
- High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems
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