We consider multiphysics applications from algorithmic and architectural perspectives,
where “algorithmic” includes both mathematical analysis and computational complexity, and …

Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

Coupled poromechanical problems appear in a variety of disciplines, from reservoir
engineering to biomedical applications. This work focuses on efficient strategies for solving …

This paper conducts topology optimization of three dimensional heat sinks for liquid cooling.
The forced cooling system is modeled with weakly coupled steady-state incompressible …

The immersed boundary (IB) method is a mathematical and numerical framework for
problems of fluid–structure interaction, treating the particular case in which an elastic …

The paper presents AMGCL—an opensource C++ library implementing the algebraic
multigrid method (AMG) for solution of large sparse linear systems of equations, usually …

The paper is focused on high efficiency Stokes solver that is applied to the incompressible
flow in porous media. Computational domains are represented by binarized 3D computed …

A model for patient‐specific cardiac mechanics simulation is introduced, incorporating a 3‐
dimensional finite element model of the ventricular part of the heart, which is coupled to a …

The projection method is a widely used fractional-step algorithm for solving the
incompressible Navier–Stokes equations. Despite numerous improvements to the …