Digital twins employ mathematical and computational models to virtually represent a
physical object (eg, planes and human organs), predict the behavior of the object, and …

Cell motion is crucial in human health and development. Cells may migrate individually or in
highly coordinated groups. Cell motion results from complex intra-and extra-cellular …

Isogeometric analysis (IGA) is particularly suitable for the prediction of buckling load and
design optimization of variable-stiffness composite panels, since curvilinear fiber path can …

Prostate cancer and benign prostatic hyperplasia are common genitourinary diseases in
aging men. Both pathologies may coexist and share numerous similarities, which have …

Prediction and uncertainty quantification of tumor progression are vital in clinical practice, ie,
disease prognosis and decision-making on treatment strategies. In this work, we propose …

Phase-transition problems are ubiquitous in science and engineering. They have been
widely studied via theory, experiments and computations. This paper reviews the main …

We present projection methods and transfer operations required for adaptive mesh
refinement/coarsening in problems with internal variables. We extend the results of Hennig …

The Boundary Element Method (BEM) has been the 'Cinderella'of numerical methods,
dominated by the big sister, the Finite Element Method (FEM). Although the BEM offers …

In the present work we introduce a complete set of algorithms to efficiently perform adaptive
refinement and coarsening by exploiting truncated hierarchical B-splines (THB-splines) …

A novel multi-phase flow formulation using a level-set-based interface-capturing approach is
proposed, focusing on addressing numerical challenges associated with the modeling of …