1 research outputs found
Mathematical foundations of adaptive isogeometric analysis
This paper reviews the state of the art and discusses recent developments in
the field of adaptive isogeometric analysis, with special focus on the
mathematical theory. This includes an overview of available spline technologies
for the local resolution of possible singularities as well as the
state-of-the-art formulation of convergence and quasi-optimality of adaptive
algorithms for both the finite element method (FEM) and the boundary element
method (BEM) in the frame of isogeometric analysis (IGA)