A Crank-Nicolson WG-FEM for unsteady 2D convection-diffusion equation with nonlinear reaction term on layer adapted mesh

DOI10.1016/j.apnum.2024.03.013zbMath1542.65111MaRDI QIDQ6549557

N. Singh Yadav, Naresh Kumar, Şuayip Toprakseven, Junying Yuan

Publication date: 4 June 2024

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Shishkin meshCrank-Nicolson schemesemidiscrete and fully discrete schemes\( \varepsilon \)-uniform convergence

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical interpolation (65D05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Singularity in context of PDEs (35A21)

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