A probabilistic approach to phase-field brittle and ductile fracture with random material and
geometric properties is proposed within this work. In the macroscopic failure mechanics …

In this work, a modification procedure for the functionalization of silicon nanowire (SiNW) is
applied in biological field effect transistor (BioFET) system. The proposed method precedes …

Silicon nanowire field-effect transistors are promising devices used to detect minute
amounts of different biological species. We introduce the theoretical and computational …

In this paper, we employ the multilevel Monte Carlo finite element method to solve the
stochastic Cahn–Hilliard–Cook equation. The Ciarlet–Raviart mixed finite element method is …

We present an adaptive multilevel Monte Carlo algorithm for solving the stochastic drift–
diffusion–Poisson system with non-zero recombination rate. The a-posteriori error is …

Nanowire field-effect sensors have recently been developed for label-free detection of
biomolecules. In this work, we introduce a computational technique based on Bayesian …

We propose a design strategy for affinity-based biosensors using nanowires for sensing and
measuring biomarker concentration in biological samples. Such sensors have been shown …

In this paper, an optimal multilevel randomized quasi-Monte-Carlo method to solve the
stationary stochastic drift–diffusion-Poisson system is developed. We calculate the optimal …

The three-dimensional stochastic drift–diffusion–Poisson system is used to model charge
transport through nanoscale devices in a random environment. Applications include …

Massively parallel nanosensor arrays fabricated with low-cost CMOS technology represent
powerful platforms for biosensing in the Internet-of-Things (IoT) and Internet-of-Health (IoH) …