The current communication is a state-of-the-art review of the recently developed
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …

We present a tetrahedral finite cell method for the simulation of incompressible flow around
geometrically complex objects. The method immerses such objects into non-boundary-fitted …

We propose the variational collocation method for the numerical solution of partial
differential equations. The conceptual basis is the establishment of a direct connection …

We present PetIGA, a code framework to approximate the solution of partial differential
equations using isogeometric analysis. PetIGA can be used to assemble matrices and …

We present a mathematical model for vascular tumor growth. We use phase fields to model
cellular growth and reaction-diffusion equations for the dynamics of angiogenic factors and …

We present a novel formulation based on an immersed coupling of Isogeometric Analysis
(IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI) …

In this paper, we develop a scalable, adaptively refined, octree-based finite element
approach with immersogeometric analysis to track inertial migration of particles in …

Computational modeling of elasto-capillarity, ie, a fluid–structure interaction phenomenon
where the solid deformation is driven by capillary forces at fluid–fluid interfaces has recently …

The paper is to develop stochastic isogeometric analysis for the free vibration of functionally
graded plates with spatially varying random material properties. The isogeometric analysis …

In the mid-2010s, we began applying a combination of isogeometric analysis and immersed
boundary methods to the problem of bioprosthetic heart valve (BHV) fluid–structure …