We combine the spectral element method with the smoothed profile method (SPM) to obtain an efficient method for flows with moving boundaries in complex geometries. …
In this work we develop and apply numerical methods for quantifying parametric uncertainty in mathematical models. In Part I, we introduce the Multi-Element Probabilistic Collocation …
In this Thesis we focus on simulations of blood flow in three-dimensional patient-specific arterial networks. We employ high-order spectral/hp-element spatial discretization and concentrate on computational …