In this paper, we solve a constrained Willmore problem coupled with an electrical field using
IsoGeometric Analysis (IGA) to simulate the morphological evolution of vesicles subjected to …

To employ computer models of tumor proliferation for planning cancer treatment, extremely
fast numerical solvers are in high demand at least for two reasons: data adaptation and …

This paper introduces optimally-blended quadrature rules for isogeometric analysis and
analyzes the numerical dispersion of the resulting discretizations. To quantify the …

The isogeometric finite volume analysis is utilized in this research to numerically simulate
the two-dimensional viscous wet-steam flow between stationary cascades of a steam turbine …

We propose the use of machine learning techniques to find optimal quadrature rules for the
construction of stiffness and mass matrices in isogeometric analysis (IGA). We initially …

In the present study, the acoustic attenuation performances of mufflers are predicted by
employing three-dimensional isogeometric analysis (IGA) and multi-patch technique for the …

Starting from a highly continuous isogeometric analysis discretization, we introduce
hyperplanes that partition the domain into subdomains and reduce the continuity of the …

We study the spectral approximation properties of isogeometric analysis with local continuity
reduction of the basis. Such continuity reduction results in a decrement in the …

Petrov–Galerkin formulations with optimal test functions allow for the stabilization of finite
element simulations. In particular, given a discrete trial space, the optimal test space induces …

Certain applications that analyze dam** effects require the solution of quadratic
eigenvalue problems (QEPs). We use refined isogeometric analysis (rIGA) to solve quadratic …