The use of solutions on embedded grids for the approximation of singularly perturbed parabolic convection-diffusion equations on adapted grids

DOI10.1134/S0965542506090077MaRDI QIDQ6122358

G. I. Shishkin

Publication date: 1 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf414

zbMATH Keywords

adapted grids\( \varepsilon \)-uniform convergencesingularly perturbed parabolic convection-diffusion equationnumerical embedded grid method

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

• On finite difference fitted schemes for singularly perturbed boundary value problems with a parabolic boundary layer
• Limitations of adaptive mesh refinement techniques for singularly perturbed problems with a moving interior layer.
• On the non-existence of 𝜀-uniform finite difference methods on uniform meshes for semilinear two-point boundary value problems
• John Miller - 65
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER
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