APNANADec 28, 2015

Functional A Posteriori Error Control for Conforming Mixed Approximations of Coercive Problems with Lower Order Terms

arXiv:1512.0846212 citationsh-index: 22
Originality Synthesis-oriented
AI Analysis

Provides rigorous error control for conforming mixed approximations, but the contribution is incremental as it extends existing functional a posteriori techniques to a specific class of PDEs.

The authors derive functional a posteriori error equalities and constant-free two-sided estimates for coercive problems with lower order terms, measuring error in a combined primal-dual norm.

We derive functional a posteriori error equalities and constant free two sided estimates for certain types of partial differential equations. The error is measured in a combined norm which takes into account both the primal and dual variable.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

Your Notes