Self-adaptive discretization methods are now an indispensable tool for the numerical
solution of partial differential equations that arise from physical and technical applications …

This is the first of two papers concerning superconvergent recovery techniques and a
posteriori error estimation. In this paper, a general recovery technique is developed for …

Electromagnetism is the force of chemistry. Combined with the consequences of
quantumand statistical mechanics, electromagnetic forces maintain the structure and drive …

Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …

This book is essentially a set of lecture notes from a graduate seminar given at Cornell in
Spring 1994. It treats basic mathematical theory for superconvergence in the context of …

This article is a review of basic concepts and tools devoted to a posteriori error estimation for
problems solved with the finite element method. For the sake of simplicity and clarity, we …

Further to the previous review article (Adv Engng Software 19 (1)(1994) 21–32), this paper
reviews more recent studies on the same subject by citing more than one hundred papers …

Most modeling approaches lie in either of the two categories: physics‐based or data‐driven.
Recently, a third approach which is a combination of these deterministic and statistical …

The objective of achieving economically finite element solutions of specified accuracy is now
within reach. The importance of this objective is finally recognized by commercial code …

It is known that the energy technique for a posteriori error analysis of finite element
discretizations of parabolic problems yields suboptimal rates in the norm L^∞(0,T;L^2(Ω)). In …