This work reviews goal-oriented a posteriori error control, adaptivity and solver control for
finite element approximations to boundary and initial-boundary value problems for stationary …

Convergence of an adaptive collocation method for the parametric stationary diffusion
equation with finite-dimensional affine coefficient is shown. The adaptive algorithm relies on …

We propose and analyze novel adaptive algorithms for the numerical solution of elliptic
partial differential equations with parametric uncertainty. Four different marking strategies …

We propose and analyse a fully adaptive strategy for solving elliptic PDEs with random data
in this work. A hierarchical sequence of adaptive mesh refinements for the spatial …

T-IFISS is a finite element software package for studying finite element solution algorithms
for deterministic and parametric elliptic partial differential equations. The emphasis is on self …

In the seminal paper of Bank and Weiser (1985)[17] a new a posteriori estimator was
introduced. This estimator requires the solution of a local Neumann problem on every cell of …

The paper considers a class of parametric elliptic partial differential equations (PDEs),
where the coefficients and the right-hand side function depend on infinitely many (uncertain) …

We develop a goal-oriented finite element method for a class of micromorphic hyperelasticity
problems, where size effects are taken into account by an enriched kinematics. Upon …

We introduce novel adaptive methods to approximate moments of solutions of partial
differential Equations (PDEs) with uncertain parametric inputs. A typical problem in …

We present a multiscale finite element approach for composite structure analysis, applying
reduced order homogenization to obtain an accurate surrogate model for microscale RVE …