A posteriori error estimates for the generalized Schwarz method of a new class of advection‐diffusion equation with mixed boundary condition

In this paper, a posteriori error estimates for the generalized Schwarz method with mixed boundary condition on the interfaces for advection‐diffusion equation with second‐order boundary value problems are proved using theta time scheme combined with Galerkin spatial method. Furthermore, a asymptotic behavior in Sobolev norm is deduced using Benssoussan‐Lions' algorithm.

• a posteriori error estimation
• advection-diffusion equation
• mixed boundary conditions
• interface problems

• Advanced Numerical Methods in Computational Mathematics
• Differential Equations and Numerical Methods
• Advanced Mathematical Modeling in Engineering
• a posteriori error estimation
• advection-diffusion equation
• mixed boundary conditions
• interface problems
• Computational Mechanics
• Numerical Analysis
• Computational Theory and Mathematics
• Engineering
• Mathematics
• Computer Science