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Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D - MaRDI portal

Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D (Q2006325)

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scientific article; zbMATH DE number 7258397
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English
Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D
scientific article; zbMATH DE number 7258397

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    Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D (English)
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    8 October 2020
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    The authors use a linear finite element method on Bakhvalov-type meshes to solve a singularly perturbed two-point boundary value problem (in one dimension). Thanks to a novel interpolation to the solution, a new supercloseness result is derived and proved.
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    singularly perturbed problem
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    convection-diffusion equation
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    Bakhvalov-type mesh
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    finite element method
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    supercloseness property
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