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 a new computational framework of neuron growth based on the phase field
method and develop an open-source software package called “ …

We develop a new continuum mechanics modeling framework for liquid–vapor flows, with
particular focus on the van der Waals fluid. By invoking microforce theory, the Coleman–Noll …

This paper focuses on the employment of analysis-suitable T-spline surfaces of arbitrary
degree for performing structural analysis of fully nonlinear thin shells. Our aim is to bring …

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 …

In this paper, we propose an explicit isogeometric topology optimization approach based on
moving morphable voids (MMVs) with closed B-spline boundary curves, named TOP-IGA …

Neurons exhibit complex geometry in their branched networks of neurites which is essential
to the function of individual neuron but also brings challenges to transport a wide variety of …

Moving interface problems are ubiquitous in science and engineering. To develop an
accurate and efficient methodology for this class of problems, we present algorithms for local …

We extend the recently introduced divergence-conforming immersed boundary (DCIB)
method [1] to fluid-structure interaction (FSI) problems involving closed co-dimension one …

Neuron growth is a complex, multi-stage process that neurons undergo to develop
sophisticated morphologies and interwoven neurite networks. Recent experimental research …