A stent is a mesh-like structure deployed in constricted blood vessels. It plays a crucial role in the treatment of various cardiovascular diseases by providing mechanical support to arteries and restoring uninterrupted blood flow. One of key factors for the long-term success of this procedure is the precise deployment of the stent within the vessel, particularly in cases of asymmetric...
We present a two-level trust-region (TLTR) method for solving unconstrained nonlinear optimization problems. The TLTR method employs a composite iteration step based on two distinct search directions: a fine-level direction, derived from minimization in the full high-resolution space, and a coarse-level direction, obtained through minimization in a subspace generated via random projection,...
POD and POD combined with interpolation and regression methods like DEIM are popular model order reduction technologies for time-dependent partial differential equations. In this talk, first, we investigate the numerical properties of POD for large-scale advection-dominated problems. We investigate the stability properties of the time-stepping schemes for the Euler equations of compressible...
