Improved ZZ A Posteriori Error Estimators for Diffusion Problems: Conforming Linear Elements
Abstract
In CaZh:09, we introduced and analyzed an improved Zienkiewicz-Zhu (ZZ) estimator for the conforming linear finite element approximation to elliptic interface problems. The estimator is based on the piecewise "constant" flux recovery in the H(div;Ω) conforming finite element space. This paper extends the results of CaZh:09 to diffusion problems with full diffusion tensor and to the flux recovery both in piecewise constant and piecewise linear H(div) space.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.