A parameter-robust numerical method based on defect-correction technique for parabolic singular perturbation problems with discontinuous convection coefficient and source

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients
\(\varepsilon\)-uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with interior layers
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A solution of the discrepancy occurs due to using the fitted mesh approach rather than to the fitted operator for solving singularly perturbed differential equations
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NIPG Finite Element Method for Convection-Dominated Diffusion Problems with Discontinuous Data

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