Iterative solvers in adaptive FEM

P Bringmann, A Miraçi, D Praetorius - arXiv preprint arXiv:2404.07126, 2024 - arxiv.org
This chapter provides an overview of state-of-the-art adaptive finite element methods
(AFEMs) for the numerical solution of second-order elliptic partial differential equations …

Optimal complexity of standard and goal-oriented adaptive FEM for general second-order linear elliptic PDEs

J Streitberger - 2024 - repositum.tuwien.at
Adaptive finite element methods (AFEMs) have become an indispensable tool for efficient
numerical simulations of partial differential equations (PDEs). Such methods successfully …