The objective of the mini-symposium will be to present fundamental contributions to goal-oriented error estimation and adaptive methods and discuss recent advances and challenges towards the application of these methods to:

• nonlinear problems;

• time-dependent problems;

• multiphysics, multiscale, and coupled problems;

• error estimation for adaptive reduced-order modeling;

• mesh refinement strategies;

• stability, convergence, and optimality analysis of adaptive methods;

• error estimation in a probabilistic setting;

• modeling error estimation and adaptive modeling; etc