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This study presents a Bayesian hierarchical model for analyzing spatially correlated functional data and handling irregularly spaced observations. The model uses Bernstein polynomial (BP) bases combined with autoregressive random effects,…

Methodology · Statistics 2024-12-02 Alvaro Alexander Burbano Moreno , Ronaldo Dias

We propose a local type of B-bar formulation, addressing locking in degenerated Reissner-Mindlin plate and shell formulations in the context of isogeometric analysis. Parasitic strain components are projected onto the physical space…

Computational Engineering, Finance, and Science · Computer Science 2018-02-23 Qingyuan Hu , Yang Xia , Sundararajan Natarajan , Andreas Zilian , Ping Hu , Stéphane P. A. Bordas

This study presents a Bayesian parametric model for the purpose of estimating the extreme load on a wind turbine. The extreme load is the highest stress level imposed on a turbine structure that the turbine would experience during its…

Applications · Statistics 2014-01-14 Giwhyun Lee , Eunshin Byon , Lewis Ntaimo , Yu Ding

B-splines are widely used in the fields of reverse engineering and computer-aided design, due to their superior properties. Traditional B-spline surface interpolation algorithms usually assume regularity of the data distribution. In this…

Computational Geometry · Computer Science 2021-11-11 Bolun Wang , Xin Jiang , Guanying Huo , Cheng Su , Dongming Yan , Zhiming Zheng

Identifying damage of structural systems is typically characterized as an inverse problem which might be ill-conditioned due to aleatory and epistemic uncertainties induced by measurement noise and modeling error. Sparse representation can…

Applications · Statistics 2020-06-09 Zhao Chen , Hao Sun

This paper presents a spline-based parameterisation framework for plane graphs. The plane graph is characterised by a collection of curves forming closed loops that fence-off planar faces which have to be parameterised individually. Hereby,…

Numerical Analysis · Mathematics 2024-09-02 Jochen Hinz

A dynamic wetting problem is studied for a moving thin fiber inserted in fluid and with a chemically inhomogeneous surface. A reduced model is derived for contact angle hysteresis by using the Onsager principle as an approximation tool. The…

Fluid Dynamics · Physics 2020-12-02 Xianmin Xu , Xiaoping Wang

Finite elements has been proven to be an useful tool to discretize the vertical coordinate in the hydrostatic forecast models allowing to define model variables in full levels so that no staggering is needed. In the non-hydrostatic case a…

Atmospheric and Oceanic Physics · Physics 2016-08-01 Alvaro Subias

Despite advancements in electron backscatter diffraction (EBSD) detector speeds, the acquisition rates of 4-Dimensional (4D) EBSD data, i.e., a collection of 2-dimensional (2D) diffraction maps for every position of a convergent electron…

Signal Processing · Electrical Eng. & Systems 2023-08-02 Zoë Broad , Daniel Nicholls , Jack Wells , Alex W. Robinson , Amirafshar Moshtaghpour , Robert Masters , Louise Hughes , Nigel D. Browning

A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stress recently reported in [1] is presented. The predictions of the model are in…

Soft Condensed Matter · Physics 2016-10-04 Sainudiin Raazesh , Moyers-Gonzalez Miguel , Burghelea Teodor

We present a novel Front-Tracking method, the Edge-Based Interface Tracking (EBIT) method for multiphase flow simulations. In the EBIT method, the markers are located on the grid edges and the interface can be reconstructed without storing…

Fluid Dynamics · Physics 2024-07-18 Tian Long , Jieyun Pan , Stéphane Zaleski

We consider the construction and classification of some new mathematical objects, called ergodic spatial stationary processes, on locally compact Abelian groups, which provide a natural and very general setting for studying diffraction and…

Mathematical Physics · Physics 2011-11-16 Daniel Lenz , Robert V. Moody

Adhesion hysteresis can be caused by elastic instabilities that are triggered by surface roughness or chemical heterogeneity. However, the role of these instabilities in adhesion hysteresis remains poorly understood because we lack…

Soft Condensed Matter · Physics 2022-02-09 Antoine Sanner , Lars Pastewka

In this paper, we introduce the hierarchical B-spline complex of discrete differential forms for arbitrary spatial dimension. This complex may be applied to the adaptive isogeometric solution of problems arising in electromagnetics and…

Numerical Analysis · Mathematics 2017-08-15 John A. Evans , Michael A. Scott , Kendrick Shepherd , Derek Thomas , Rafael Vazquez

Spike-and-slab and horseshoe regression are arguably the most popular Bayesian variable selection approaches for linear regression models. However, their performance can deteriorate if outliers and heteroskedasticity are present in the…

Methodology · Statistics 2022-10-20 Alberto Cabezas , Marco Battiston , Christopher Nemeth

Exact inference in the linear regression model with spike and slab priors is often intractable. Expectation propagation (EP) can be used for approximate inference. However, the regular sequential form of EP (R-EP) may fail to converge in…

Machine Learning · Statistics 2011-12-13 José Miguel Hernández-Lobato , Daniel Hernández-Lobato

High-Resolution Electron Backscatter Diffraction (HR-EBSD) has advanced rapidly in recent years, significantly improving elastic strain measurements and dislocation density evaluation with submicron spatial resolution. To achieve better…

Materials Science · Physics 2026-04-20 Xinke Xiao , Tianle Ma , Lingxuan Shao , Jun Liu , Qiwei Shi , Canying Cai , Stéphane Roux

We consider a recursive iterative algorithm for identification of parameters of the Preisach model, one of the most commonly used models of hysteretic input-output relationships. The classical identification algorithm due to Mayergoyz…

Chaotic Dynamics · Physics 2015-03-09 D. Rachinskii , M. Ruderman

We studied some magnetic behaviors of Blume-Capel (BC) model in a site diluted triangular lattice by means of the effective-field theory (EFT) with correlations. The effects of the exchange interaction (J), crystal field (D), concentration…

Statistical Mechanics · Physics 2014-10-20 E. Kantar , Y. Kocakaplan , M. Ertas

This work focuses on the development of a posteriori error estimates for fourth-order, elliptic, partial differential equations. In particular, we propose a novel algorithm to steer an adaptive simulation in the context of Kirchhoff plates…

Numerical Analysis · Mathematics 2020-04-22 Pablo Antolin , Annalisa Buffa , Luca Coradello