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This work is focused on the extension and assessment of the monotonicity-preserving scheme in [3] and the local bounds preserving scheme in [5] to hierarchical octree adaptive mesh refinement (AMR). Whereas the former can readily be used on…

Numerical Analysis · Mathematics 2020-06-24 Jesus Bonilla , Santiago Badia

We compare the structural and mechanical properties of mechanically stable (MS) packings of frictional disks in two spatial dimensions (2D) generated with isotropic compression and simple shear protocols from discrete element modeling (DEM)…

Soft Condensed Matter · Physics 2019-10-31 F. Xiong , P. Wang , A. H. Clark , T. Bertrand , N. T. Ouellette , M. D. Shattuck , C. S. O'Hern

An adaptive kernel method in the Bayesian framework together with a new simulation program for Rutherford backscattering spectroscopy (RBS) have been applied to the analysis of RBS data. Even in the case of strongly overlapping RBS peaks a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 U. V. Toussaint , K. Krieger , R. Fischer , V. Dose

Blind source separation (BSS) is a very popular technique to analyze multichannel data. In this context, the data are modeled as the linear combination of sources to be retrieved. For that purpose, standard BSS methods all rely on some…

Applications · Statistics 2015-06-23 Jerome Bobin , Jeremy Rapin , Anthony Larue , Jean-Luc Starck

The onset of nonlinear effects in metals, such as plasticity and damage, is strongly influenced by the heterogeneous stress distribution at the grain level. This work is devoted to studying the local stress distribution of shear stresses…

Materials Science · Physics 2022-07-26 Flavia Gehrig , Daniel Wicht , Maximilian Krause , Thomas Böhlke

Time series anomaly detection plays a critical role in many dynamic systems. Despite its importance, previous approaches have primarily relied on unimodal numerical data, overlooking the importance of complementary information from other…

Machine Learning · Computer Science 2026-03-24 Shiyan Hu , Jianxin Jin , Yang Shu , Peng Chen , Bin Yang , Chenjuan Guo

Abdominal aortic aneurysm (AAA) wall stress is a candidate rupture risk marker but is typically computed from single-phase images without known cardiac phase. Linear stress recovery methods, which solve a single geometrically linear…

Medical Physics · Physics 2025-11-25 Alastair Catlin , Mostafa Jamshidian , Adam Wittek , Karol Miller

Strain hardening is a key feature observed in many rocks deformed in the so-called ``semi-brittle'' regime, where both crystal plastic and brittle deformation mechanisms operate. Dislocation storage has long been recognised as a major…

Geophysics · Physics 2025-02-14 Nicolas Brantut

Correlated analysis of (sub)grains and particles in alloys is important to understand transformation processes and control material properties. A multimodal data fusion workflow directly combining subgrain data from electron backscatter…

Materials Science · Physics 2023-02-17 Håkon Wiik Ånes , Antonius T. J. van Helvoort , Knut Marthinsen

Atomistic simulations of the molecular dynamics/statics kind are regularly used to study small scale plasticity. Contemporary simulations are performed with tens to hundreds of millions of atoms, with snapshots of these configurations…

Materials Science · Physics 2022-06-17 Aruna Prakash , Stefan Sandfeld

We present an adjoint-based optimization method to invert for stress and frictional parameters used in earthquake modeling. The forward problem is linear elastodynamics with nonlinear rate-and-state frictional faults. The misfit functional…

Numerical Analysis · Mathematics 2024-09-10 Vidar Stiernström , Martin Almquist , Eric M. Dunham

We investigate the mechanics of bistable, hard-magnetic, elastic beams, combining experiments, finite element modeling (FEM), and a reduced-order theory. The beam is made of a hard magneto-rheological elastomer, comprising two segments with…

Soft Condensed Matter · Physics 2023-02-22 Arefeh Abbasi , Tomohiko G. Sano , Dong Yan , Pedro M. Reis

This paper introduces a material-aware strength-of-connection measure for smoothed aggregation algebraic multigrid methods, aimed at improving robustness for scalar partial differential equations with heterogeneous and anisotropic material…

Computational Engineering, Finance, and Science · Computer Science 2026-02-06 Max Firmbach , Malachi Phillips , Christian Glusa , Alexander Popp , Christopher M. Siefert , Matthias Mayr

Fracture in aluminum alloys with precipitates involves at least two mechanisms, namely, ductile fracture of the aluminum-rich matrix and brittle fracture of the precipitates. In this work, a coupled crystal plasticity-phase field model for…

Materials Science · Physics 2022-05-02 Samad Vakili , Pratheek Shanthraj , Franz Roters , Jaber R. Mianroodi , Dierk Raabe

This paper studies policy evaluation with multiple data sources, especially in scenarios that involve one experimental dataset with two arms, complemented by a historical dataset generated under a single control arm. We propose novel data…

Machine Learning · Statistics 2024-06-04 Ting Li , Chengchun Shi , Qianglin Wen , Yang Sui , Yongli Qin , Chunbo Lai , Hongtu Zhu

The need for accurate and fast scale-resolving simulations of fluid flows, where turbulent dispersion is a crucial physical feature, is evident. Large-eddy simulations (LES) are computationally more affordable than direct numerical…

Fluid Dynamics · Physics 2025-12-30 Justin Plogmann , Oliver Brenner , Patrick Jenny

A crucial aspect in phase-field modeling, based on the variational formulation of brittle fracture, is the accurate representation of how the fracture surface energy is dissipated during the fracture process in the energy competition within…

Numerical Analysis · Mathematics 2025-01-29 Luigi Greco , Eleonora Maggiorelli , Matteo Negri , Alessia Patton , Alessandro Reali

In this study, novel exact solutions of the Duffing equation with their phase portraits have been proposed and reasoned. It is shown that phase trajectories are initially elliptical and become distorted in the unstable area within the…

Disordered Systems and Neural Networks · Physics 2026-01-01 A. D. Berezner , V. A. Fedorov , N. S. Perov , G. V. Grigoriev

Machine learning-based interatomic potentials and force fields depend critically on accurate atomic structures, yet such data are scarce due to the limited availability of experimentally resolved crystals. Although atomic-resolution…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Yaotian Yang , Yiwen Tang , Yizhe Chen , Xiao Chen , Jiangjie Qiu , Hao Xiong , Haoyu Yin , Zhiyao Luo , Yifei Zhang , Sijia Tao , Wentao Li , Qinghua Zhang , Yuqiang Li , Wanli Ouyang , Bin Zhao , Xiaonan Wang , Fei Wei

We propose a new pattern recognition method that is able to reconstruct the 3D structure of the active part of a fault network using the spatial location of earthquakes. The method is a generalization of the so-called dynamic clustering…

Geophysics · Physics 2015-06-26 Guy Ouillon , Caroline Ducorbier , Didier Sornette