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The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

Spatially localized deformation components are very useful for shape analysis and synthesis in 3D geometry processing. Several methods have recently been developed, with an aim to extract intuitive and interpretable deformation components.…

Graphics · Computer Science 2017-12-19 Qingyang Tan , Lin Gao , Yu-Kun Lai , Jie Yang , Shihong Xia

A robust $hp$-adaptive finite element framework is presented for the investigation of static cracks in materials characterized by complex, pointwise density variations. Within such heterogeneous media, the equilibrium equation governed by…

Numerical Analysis · Mathematics 2025-12-29 S. M. Mallikarjunaiah

We present a fully iterative adaptive algorithm for the numerical minimization of strongly convex energy functionals in Hilbert spaces. The proposed approach, which we first present in abstract form, generates a hierarchical sequence of…

Numerical Analysis · Mathematics 2026-02-26 Raphael Leu , Thomas P. Wihler

Surface adsorption is one of the fundamental processes in numerous fields, including catalysis, environment, energy and medicine. The development of an adsorption model which provides an effective prediction of binding energy in minutes has…

Materials Science · Physics 2022-07-27 Paolo Restuccia , Ehsan A. Ahmad , Nicholas M. Harrison

We derive a formula, useful for first-principles calculations, which relates the free energy of an oxide/metal interface to the free energies of surfaces and the work of separation of the interface. We distinguish the latter {\it…

Materials Science · Physics 2007-05-23 Iskander G. Batirev , Ali Alavi , Michael W. Finnis

We propose a method that exploits sparse representation of potential energy surfaces (PES) on a polynomial basis set selected by compressed sensing. The method is useful for studies involving large numbers of PES evaluations, such as the…

Chemical Physics · Physics 2018-08-10 Prashant Rai , Khachik Sargsyan , Habib Najm , So Hirata

It was discovered several decades ago that eddy covariance measurements systematically underestimate sensible and latent heat fluxes, creating an imbalance in the surface energy budget. Since then, many studies have addressed this problem…

Atmospheric and Oceanic Physics · Physics 2022-10-12 Luise Wanner , Marc Calaf , Matthias Mauder

We present a high order immersed finite element (IFE) method for solving the elliptic interface problem with interface-independent meshes. The IFE functions developed here satisfy the interface conditions exactly and they have optimal…

Numerical Analysis · Mathematics 2024-01-01 Slimane Adjerid , Tao Lin , Haroun Meghaichi

In this paper, we establish well-posed boundary and interface conditions for the relaxed micromorphic model that are able to unveil the scattering response of fully finite-size metamaterials' samples. The resulting relaxed micromorphic…

Applied Physics · Physics 2021-05-04 Gianluca Rizzi , Marco Valerio d'Agostino , Patrizio Neff , Angela Madeo

We revisit a unified methodology for the iterative solution of nonlinear equations in Hilbert spaces. Our key observation is that the general approach from [Heid & Wihler, Math. Comp. 89 (2020), Calcolo 57 (2020)] satisfies an energy…

Numerical Analysis · Mathematics 2021-02-18 Pascal Heid , Dirk Praetorius , Thomas P. Wihler

We develop a methodology for the calculation of surface free energies based on the probability distribution of a wandering interface. Using a simple extension of the NpT sampling, we allow the interface area to randomly probe the available…

Soft Condensed Matter · Physics 2009-11-13 Luis G. MacDowell , Pawel Bryk

A first-principles approach is demonstrated to calculate the relationship between aqueous semiconductor interface structure and energy level alignment. The physical interface structure is sampled using density functional theory based…

Materials Science · Physics 2015-06-22 Neerav Kharche , James T. Muckerman , Mark S. Hybertsen

Localized features such as singularities, sharp gradients, discontinuities, and moving sources require adaptive finite element discretizations. Conventional refinement strategies introduce significant computational overhead through…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Jan Niklas Schmäke , Martin Ruess

The random phase approximation (RPA) is attracting renewed interest as a universal and accurate method for first-principles total energy calculations. The RPA naturally accounts for long-range dispersive forces without compromising accuracy…

Materials Science · Physics 2013-03-04 Thomas Olsen , Kristian S. Thygesen

We present a unified framework for the calculation of defect energies for those defects that can be represented as a superposition of isolated dislocations, and obtain both self and interaction energies of combinations of grain boundaries…

Materials Science · Physics 2007-05-23 J. M. Rickman , J. Vinals , R. LeSar

We investigate the role of architected thin films in the interfacial failure properties of bi-layer composites. Our results show that, while graded structures can be used to prescribe failure at the interface, they do not offer significant…

Materials Science · Physics 2026-03-10 Christian Greff , Leon Pyka , Michael Zaiser , Paolo Moretti

Hydrogen atom transfer (HAT) reactions are essential in many biological processes, such as radical migration in damaged proteins, but their mechanistic pathways remain incompletely understood. Simulating HAT is challenging due to the need…

Machine Learning · Computer Science 2025-11-25 Marlen Neubert , Patrick Reiser , Frauke Gräter , Pascal Friederich

We propose a machine-learning approach based on Bayesian optimization to build global potential energy surfaces (PES) for reactive molecular systems using feedback from quantum scattering calculations. The method is designed to correct for…

Chemical Physics · Physics 2019-03-27 R. A. Vargas-Hernández , Y. Guan , D. H. Zhang , R. V. Krems

The paper is devoted to the thermodynamics of normal surface electromagnetic fields within a nonuniform dispersive and absorptive system. This system is formed by vacuum and lossy medium separated by a plane interface. As a medium, we used…

Other Condensed Matter · Physics 2012-12-04 Illarion Dorofeyev