Finite volume methods are a class of discretization schemes resulting from the
decomposition of a problem domain into nonoverlap** control volumes. Degrees of …

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 …

The quantity of interest (QoI) associated with a solution of a partial differential equation
(PDE) is not, in general, the solution itself, but a functional of the solution. Dual weighted …

For the first time we introduce an error estimator for the numerical approximation of the
equations describing the dynamics of sea ice. The idea of the estimator is to identify different …

We present a numerical assessment of a class of criteria for mesh adaptation in the finite
volume solution of shallow water flows. The shallow water equations are numerically …

In this work we present a framework for the construction of robust a posteriori estimates for
classes of finite difference schemes. We are motivated by the relative lack of such …

Goal-based error estimation due to spatial discretization and adaptive mesh refinement
(AMR) has previously been investigated for the one dimensional, diamond difference …

This thesis deals with the various developments that have taken place to improve and
extend the use of CRASH, a 3D Monte Carlo Radiative transfer (RT) code. Our first step was …

Electric arc welding processes represent one of the most used techniques on manufacturing
processes of mechanical components in modern industry. The electric arc welding …