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Crystal structure prediction (CSP) is now increasingly used in the discovery of novel materials with applications in diverse industries. However, despite decades of developments, the problem is far from being solved. With the progress of…

Materials Science · Physics 2023-07-13 Lai Wei , Qin Li , Sadman Sadeed Omee , Jianjun Hu

The Scaled Boundary Finite Element Method (SBFEM) is a technique in which approximation spaces are constructed using a semi-analytical approach. They are based on partitions of the computational domain by polygonal/polyhedral subregions,…

Numerical Analysis · Mathematics 2021-04-07 Karolinne O. Coelho , Philippe R. B. Devloo , Sonia M. Gomes

Topology Optimization (TO), which maximizes structural robustness under material weight constraints, is becoming an essential step for the automatic design of mechanical parts. However, existing TO algorithms use the Finite Element Analysis…

Robotics · Computer Science 2022-04-14 Zherong Pan , Xifeng Gao , Kui Wu

The recently proposed statistical finite element (statFEM) approach synthesises measurement data with finite element models and allows for making predictions about the unknown true system response. We provide a probabilistic error analysis…

Statistics Theory · Mathematics 2025-06-17 Toni Karvonen , Fehmi Cirak , Mark Girolami

Crystal structure prediction (CSP) has proven to be a highly effective route for discovering new materials. Substantial advancements have been made in CSP of inorganic and molecular crystals, while hybrid materials, including metal-organic…

Materials Science · Physics 2024-12-17 Elizaveta Yakovenko , Iurii Nevolin , Anatoliy Chasovskikh , Artem Mitrofanov , Vadim Korolev

Recent advances in deep learning generative models (GMs) have created high capabilities in accessing and assessing complex high-dimensional data, allowing superior efficiency in navigating vast material configuration space in search of…

Materials Science · Physics 2024-11-13 Xiaoshan Luo , Zhenyu Wang , Pengyue Gao , Jian Lv , Yanchao Wang , Changfeng Chen , Yanming Ma

A general-purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity characterized by in-plane periodicity that cannot be…

Computational Engineering, Finance, and Science · Computer Science 2021-01-28 Philip Avery , Daniel Z. Huang , Wanli He , Johanna Ehlers , Armen Derkevorkian , Charbel Farhat

The recent progress of using graph based encoding of crystal structures for high throughput material property prediction has been quite successful. However, using a single modality model prevents us from exploiting the advantages of an…

Machine Learning · Computer Science 2025-05-09 Abhiroop Bhattacharya , Sylvain G. Cloutier

In this paper, optimal convergence for an adaptive finite element algorithm for elastoplasticity is considered. To this end, the proposed adaptive algorithm is established within the abstract framework of the axioms of adaptivity [Comput.…

Numerical Analysis · Mathematics 2024-04-09 Miriam Schönauer , Andreas Schröder

In this work, possibility of simulating biological organs in realtime using the Boundary Element Method (BEM) is investigated. Biological organs are assumed to follow linear elastostatic material behavior, and constant boundary element is…

Computational Engineering, Finance, and Science · Computer Science 2014-02-11 Kirana Kumara P

Electronic materials exhibiting phase transitions between metastable states (e.g., metal-insulator transition materials with abrupt electrical resistivity transformations) are challenging to decode. For these materials, conventional machine…

Materials Science · Physics 2020-11-09 Yiqun Wang , Akshay Iyer , Wei Chen , James M. Rondinelli

Simulations of the dynamic deformations of metal samples require elastic-plastic constitutive updates of the material behavior to be performed over a small time step between updates, as dictated by the Courant condition. Depending on the…

Materials Science · Physics 2007-05-23 S. N. Kuchnicki , A. M. Cuitino , R. A. Radovitzky

A well-established approach for inferring full displacement and stress fields from possibly sparse data is to calibrate the parameter of a given constitutive model using a Bayesian update. After calibration, a (stochastic) forward…

Computational Engineering, Finance, and Science · Computer Science 2023-08-09 Vahab B. Narouie , Henning Wessels , Ulrich Römer

The reason behind the remarkable properties of High-Entropy Alloys (HEAs) is rooted in the diverse phases and the crystal structures they contain. In the realm of material informatics, employing machine learning (ML) techniques to classify…

Machine Learning · Computer Science 2024-01-02 Debsundar Dey , Suchandan Das , Anik Pal , Santanu Dey , Chandan Kumar Raul , Arghya Chatterjee

OpenCAEPoro is a parallel numerical simulation software developed in C++ for simulating multiphase and multicomponent flows in porous media. The software utilizes a set of general-purpose compositional model equations, enabling it to handle…

Mathematical Software · Computer Science 2024-06-18 Shizhe Li , Chen-Song Zhang

This paper compares two approaches for investigating the near-surface composition profile that results from surface segregation in the so-called Cantor alloy, an equi-molar alloy of CoCrFeMnNi. One approach consists of atomistic computer…

Materials Science · Physics 2020-10-28 Dominique Chatain , Paul Wynblatt

The ensemble Kalman filter (EnKF) (Evensen, 2009) has proven effective in quantifying uncertainty in a number of challenging dynamic, state estimation, or data assimilation, problems such as weather forecasting and ocean modeling. In these…

A Finite Element procedure based on a full implicit backward Euler predictor/corrector scheme for the Cosserat continuum is here presented. Since this is based on invariants of the stress and couple stress tensors and on the spectral…

Numerical Analysis · Mathematics 2021-06-25 Andrea Panteghini , Rocco Lagioia

The capacity to predict and control bioprocesses is perhaps one of the most important objectives of biotechnology. Computational simulation is an established methodology for the design and optimization of bioprocesses, where the finite…

Computational Engineering, Finance, and Science · Computer Science 2015-08-12 R. C. Martins , N. Fachada

Bayesian Optimization (BO) is a foundational strategy in the field of engineering design optimization for efficiently handling black-box functions with many constraints and expensive evaluations. This paper introduces a fast and accurate BO…

Computational Engineering, Finance, and Science · Computer Science 2024-04-09 Rosen , Yu , Cyril Picard , Faez Ahmed