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 …

We develop a multigrid solver steered by an a posteriori estimator of the algebraic error. We
adopt the context of a second-order elliptic diffusion problem discretized by conforming finite …

This manuscript is concerned with a posteriori error estimation for the finite element
discretization of standard and fractional partial differential equations as well as an …

In this work, we study a local adaptive smoothing algorithm for a-posteriori-steered p-robust
multigrid methods. The solver tackles a linear system which is generated by the …

This thesis concerns a posteriori error analysis and adaptive algorithms to approximately
solve nonlinear partial differential equations (PDEs). We consider PDEs of both elliptic and …

This paper introduces an adaptive preconditioner for iterative solution of sparse linear
systems arising from partial differential equations with self-adjoint operators. This …

This article presents an adaptive approach for solving linear systems arising from self-
adjoint Partial Differential Equations (PDE) problems discretized by cell-centered finite …

378 380 381 383 384 385 386 390 391 393 397 5.1 Flux and its reconstruction 397 5.2
Upper bounds using extra iterations 401 5.3 Upper bounds based on algebraic flux …

In this thesis, we consider systems of linear algebraic equations arising from discretizations
of second-order elliptic partial differential equations using finite elements of arbitrary …

In this thesis, we consider systems of linear algebraic equations arising from discretizations
of second-order elliptic partial differential equations using finite elements of arbitrary …