@book{75a82889b5d749a89a1290b25732914f,

title = "Implicit a posteriori error estimation using patch recovery techniques",

abstract = "Implicit a posteriori error estimators are developed for elliptic boundary value problems.Local problems are formulated for the error and the corresponding Neumann type boundary conditions are approximated using a new family of gradient averaging procedure.The convergence properties of the implicit error estimator are discussed independently from that of the residual type error estimators, which provides a freedom in the choice of the boundary conditions. General assumptions are elaborated for the gradient averaging which define a family of implicit a posteriori error estimators. The performance and the favor of the method is demonstrated trough some numerical experiments.",

keywords = "MSC-65P99, MSC-70K99, METIS-277499, EWI-19363, IR-75747, A posteriori error analysis, MSC-70K70, Gradient recovery, Implicit methods",

author = "Horv{\'a}th, {Tam{\'a}s L.} and F. Izsak",

year = "2011",

month = jan,

language = "Undefined",

series = "Memorandum / Department of Applied Mathematics",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1933",

}