Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report
arXiv:1504.04283
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AI Analysis
Provides a theoretical convergence analysis for a specific mesh type in numerical methods for singularly perturbed problems, which is incremental for researchers in numerical analysis.
The paper analyzes uniform convergence of a discretization for a 1D singularly perturbed convection-diffusion problem on a Bakhvalov-type mesh, using a preconditioning technique to achieve pointwise convergence uniform in the perturbation parameter.
The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation parameter.