Overlapping Schwarz Methods for Isogeometric Analysis

Isogeometric Overlapping Additive Schwarz Solvers for the Bidomain System

The electrical activity of the heart is a complex phenomenon strictly related to its physiology, fiber structure and anatomy. At the cellular level the cell membrane separates both the intraand extracellular environments consisting of a dilute aqueous solution of dissolved salts dissociated into ions. Differences in ion concentrations on opposite sides of the membrane lead to a voltage called t...

Overlapping Schwarz Methods for Helmholtz's Equation

Overlapping Schwarz Algorithms For

Overlapping Schwarz

Optimized Overlapping Schwarz Methods for Parabolic PDEs with Time-Delay

We present overlapping Schwarz methods for the numerical solution of two model problems of delay PDEs: the heat equation with a fixed delay term, and the heat equation with a distributed delay in the form of an integral over the past. We first analyze properties of the solutions of these PDEs and find that their dynamics is fundamentally different from that of regular time-dependent PDEs withou...