Isogeometric analysis of thermoelastic problem
Abstract
In this thesis there is given an introduction to isogeometric finite element method for uncoupled thermo elastic problems using non uniform rational B-splines (NURBS) as basis functions. The numerical analysis of the uncoupled thermo elastic problem is done with the new finite element solver IFEM, which is a isogeometric solver under development at SINTEF. The performance of IFEM is tested on a problem with a smooth solution, as well as a singular problem. It is shown that while IFEM, at the current state, achieves an optimal convergence rate for the smooth model; this is not the case for the model containing the singularity.