Publisher : The Korean Society of Mechanical Engineers
DOI : 10.22634/KSME-A.19184.108.40.2060
Title & Authors
Finite Element Analysis and Local a Posteriori Error Estimates for Problems of Flow through Porous Media Lee, Choon-Yeol;
A new a posteriori error estimator is introduced and applied to variational inequalities occurring in problems of flow through porous media. In order to construct element-wise a posteriori error estimates the global error is localized by a special mixed formulation in which continuity conditions at interfaces are treated as constraints. This approach leads to error indicators which provide rigorous upper bounds of the element errors. A discussion of a compatibility condition for the well-posedness of the local error analysis problem is given. Two numerical examples are solved to check the compatibility of the local problems and convergence of the effectivity index both in a local and a global sense with respect to local refinements.