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This work is devoted to the variational derivation of a reduced model for brittle membranes in finite elasticity. The main mathematical tools we develop for our analysis are: (i) a new density result in $GSBV^{p}$ of functions satisfying a…

Analysis of PDEs · Mathematics 2022-09-23 Stefano Almi , Dario Reggiani , Francesco Solombrino

Numerous aqueous systems host elements in multiple redox states, with wide ranging implications such as their influence on the formation/dissolution of minerals, water toxicity, and nutrient cycling. To uncover governing mechanisms and…

Materials Science · Physics 2025-01-22 Shishir Mundra , Mohit Pundir , Barbara Lothenbach , David S. Kammer , Ueli M. Angst

Anion exchange membranes (AEMs) are promising candidates for replacing proton exchange membranes (PEMs) in electrochemical devices such as fuel cells, electrolyzers, batteries, and osmotic energy extraction systems. However, optimizing the…

This article's main scope is the presentation of a computational method for the simulation of contact problems within the finite element method involving complex and rough surfaces. The approach relies on the MPJR (eMbedded Profile for…

Soft Condensed Matter · Physics 2025-04-03 Jacopo Bonari , Marco Paggi , Daniele Dini

Driven by the pursuit of high-performance electronic devices, research into novel materials with properties appropriate for cryogenic applications has unveiled the exceptional properties of the rare-earth nitride series of intrinsic…

Materials Science · Physics 2025-05-22 W. F. Holmes-Hewett , J. D. Miller , H. G. Ahmad , S. Granville , B. J. Ruck

Polymer materials with low water uptake exhibit a highly heterogeneous interior, characterized by water clusters in the form of nanodroplets and nanochannels. Here, based on our recent insights from computer simulations, we argue that water…

Soft Condensed Matter · Physics 2022-06-16 Matej Kanduč , Rafael Roa , Won Kyu Kim , Joachim Dzubiella

In this paper we study the use of Virtual Element method for geomechanics. Our emphasis is on applications to reservoir simulations. The physical processes that form the reservoirs, such as sedimentation, erosion and faulting, lead to…

Numerical Analysis · Mathematics 2017-02-09 Odd Andersen , Halvor M. Nilsen , Xavier Raynaud

We report an investigation of the ferromagnetic semiconductor rare earth nitrides (RENs) for their potential for cryogenic-temperature electronics and spintronics application. We have indentified ohmic contacts suitable for the device…

Applied Physics · Physics 2020-04-22 Jackson D. Miller , Felicia H. Ullstad , H. Joe Trodahl , Ben. J. Ruck , Franck Natali

Liquid-liquid extraction based on surface nanodroplets, namely nanoextraction, can continuously extract and enrich target analytes from the flow of a sample solution. This sample preconcentration technique is easy to operate in a continuous…

Fluid Dynamics · Physics 2024-06-19 Hongyan Wu , Chiranjeevi Kanike , Arnab Atta , Xuehua Zhang

Liquids under confinement differ in behavior from their bulk counterparts and can acquire properties that are specific to the confined phase and linked to the nature and structure of the host matrix. While confined liquid water is not a new…

Materials Science · Physics 2020-07-22 François-Xavier Coudert

This paper proposes niching importance sampling, a framework that combines concepts from reliability analysis, e.g. Markov chains, importance sampling, and relative cross entropy minimisation, with niching techniques from evolutionary…

Computation · Statistics 2026-04-09 Hugh J. Kinnear , F. A. DiazDelaO

The formation and dissociation of specific noncovalent interactions between a variety of macromolecules play a crucial role in the function of biological systems. During the last few years, three main lines of research led to a dramatic…

Biological Physics · Physics 2009-11-13 Pierre Bongrand

Suspending devices on thin SiN membranes can limit their interaction with the bulk substrate and reduce parasitic capacitance to ground. While suspending devices on membranes is used in many fields including radiation detection using…

Immersed boundary methods are high-order accurate computational tools used to model geometrically complex problems in computational mechanics. While traditional finite element methods require the construction of high-quality boundary-fitted…

Numerical Analysis · Mathematics 2024-02-27 Jennifer E. Fromm , Nils Wunsch , Kurt Maute , John A. Evans , Jiun-Shyan Chen

This paper is devoted to the variational derivation of reduced models for elastic membranes with fracture under constraints on the determinant of the deformation gradient. We consider two physically relevant settings: the…

Analysis of PDEs · Mathematics 2026-03-24 Nicola Pio Melillo , Dario Reggiani

Surfactants play an important role in various physiological and biomechanical applications. An example is the respiratory system, where pulmonary surfactants facilitate the breathing and reduce the possibility of airway blocking by lowering…

Soft Condensed Matter · Physics 2019-02-19 Farshad Roohbakhshan , Roger A. Sauer

State-of-the-art methods for semantic segmentation of images involve computationally intensive neural network architectures. Most of these methods are not adaptable to high-resolution image segmentation due to memory and other computational…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Siddharth Saravanan , Aditya Challa , Sravan Danda

This article surveys research on the application of compatible finite element methods to large scale atmosphere and ocean simulation. Compatible finite element methods extend Arakawa's C-grid finite difference scheme to the finite element…

Numerical Analysis · Mathematics 2023-03-14 Colin J. Cotter

A filtration procedure was developed to measure the reversibility of fouling during cross-flow filtration based on the square wave of applied pressure. The principle of this method, the apparatus required, and the associated mathematical…

Soft Condensed Matter · Physics 2008-01-18 Benjamin Espinasse , Patrice Bacchin , Pierre Aimar

In the era of the James Webb Space Telescope (JWST), the dramatic improvement in the spectra of exoplanetary atmospheres demands a corresponding leap forward in our ability to analyze them: atmospheric retrievals need to be performed on…

Earth and Planetary Astrophysics · Physics 2025-05-06 Anna Lueber , Konstantin Karchev , Chloe Fisher , Matthias Heim , Roberto Trotta , Kevin Heng
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