Convergence of the adapting grid method of Bakhvalov's type for singularly perturbed boundary value problems
Igor Anatolevich Blatov, Elena Victorovna Kitaeva
Keywords: сингулярно возмущенная краевая задача, галеркинский проектор, сетка Бахвалова, алгоритмы адаптации, singularly perturbed boundary value problem, Galerkin projection, Bakhvalov's grid, adaptation algorithms
Abstract
We consider the Galerkin finite element method for non-self-adjoint boundary value problems on Bakhvalov's grids. Using the Galerkin projections method the convergence of a sequence of computational grids with an unknown boundary of the boundary layer has been proved. Numerical examples are presented.
|
