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Error Estimates of Optimal Order for Finite Element Methods with Interpolated Coefficients for the Nonlinear Heat Equation

✍ Scribed by CHEN, CHUAN-MIAO; LARSSON, STIG; ZHANG, NAI-YING

Book ID
121741707
Publisher
Oxford University Press
Year
1989
Tongue
English
Weight
632 KB
Volume
9
Category
Article
ISSN
0272-4979

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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