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An error estimate for the finite difference approximation to degenerate convection–diffusion equations

✍ Scribed by K. H. Karlsen, U. Koley, N. H. Risebro

Book ID
113021535
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
355 KB
Volume
121
Category
Article
ISSN
0029-599X

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A uniformly optimal-order error estimate
A uniformly optimal-order error estimate for a bilinear finite element method for degenerate convection-diffusion equations
✍ Jinhong Jia; Tongchao Lu; Kaixin Wang; Hong Wang; Yongqiang Ren 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 134 KB

## Abstract We prove an optimal‐order error estimate in a degenerate‐diffusion weighted energy norm for bilinear Galerkin finite element methods for two‐dimensional time‐dependent convection‐diffusion equations with degenerate diffusion. In the estimate, the generic constants depend only on certain