A Posteriori error estimates combined with the asymptotic behavior for a generalized domain decomposition method in evolutionary PDEs

Key words: Mixed finite element method, global-in-time domain decomposition, nonconforming time grids, Robin interface conditions, a posteriori error estimate, stopping criteria..

Our estimates yield a guaranteed and fully computable upper bound on the error measured in the space-time energy norm of [19, 20], at each iteration of the space-time DD

As an illustration of this framework, we prove new estimates for overlapping domain decomposition methods with Robin-type transmission condi- tions for the

Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system... Helmholtz

In this paper, we prove error estimates for a fully discrete, second order in time, finite element method for the Cahn-Hilliard-Navier-Stokes (CHNS ) model for two-phase flow...

This paper is concerned with the computation of 3D vertex singularities of anisotropic elastic fields with Dirichlet boundary conditions, focusing on the derivation of error

In this section, we illustrate the numerical results obtained using the Dirichlet-Neumann and Schwarz domain decomposition method combined with boundary element method for

A strict error bound with separated contributions of the discretization and of the iterative solver in non-overlapping domain decomposition meth- ods... A strict error bound