Uniform estimates for characteristics-mixed finite method for transient advection-dominated diffusion problems in two-dimensional space

Huanzhen Chen, Lei Gao and Hong Wang

Applied Mathematics and Computation, 2016, vol. 280, issue C, 86-102

Abstract: We prove uniform error estimates for the characteristics-mixed finite element method for two-dimensional transient convection-dominated diffusion equations, in the sense that the generic constants in the error estimates depend linearly on certain Sobolev norms of the true solution but not on the scaling diffusion parameter ε. Numerical experiments are presented to confirm our theoretical findings.

Keywords: Transient advection-dominated diffusion equations; Characteristics-mixed finite element method; Uniform error estimates; Numerical experiments (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:280:y:2016:i:c:p:86-102

DOI: 10.1016/j.amc.2016.01.031

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