A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities

We next apply this framework to various finite element methods (conforming, nonconforming, and discontinuous Galerkin) as well as to the finite volume method. We derive

Key words: a posteriori error analysis, adaptive mesh refinement, adaptive stopping criteria, com- positional Darcy flow, thermal flow, finite volume method..

The Galerkin solution and the initial algebraic error distribution (after j 0 = 20 iterations) over the domain Ω are shown in Figure 3, while the global energy norm and the L-norm

In this paper we derive a posteriori error estimates for the compositional model of multiphase Darcy flow in porous media, consisting of a system of strongly coupled nonlinear

Figure 12: [Sharp-Gaussian of Section 6.1, strategy with local Neumann problems] Relative energy error k∇(u − u ` )k/k∇uk as a function of cumulative time spent on

Figure 2 focuses more closely on the last, 6th level uniformly refined mesh, and tracks the dependence of the error measure J u up (u k,i h , g h k,i ), the overall error estimator

We propose an adaptive algorithm wherein the different iterative procedures (iterative linearization, iterative coupling, iterative solution of linear systems) are stopped when

Under some modifications of these two methods (extension of the marked patches by one layer, increase of the equilibration polynomial degree by one for inexact solvers) and under