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In this work, we develop a combined convolutional neural networks (CNNs) and finite element method (FEM) to examine the effective thermal properties of composite phase change materials (CPCMs) consisting of paraffin and copper foam. In this…

Computational Physics · Physics 2021-03-25 Felix Kolodziejczyk , Bohayra Mortazavi , Timon Rabczuk , Xiaoying Zhuang

Empirical Dynamic Modeling (EDM) is a nonlinear time series causal inference framework. The latest implementation of EDM, cppEDM, has only been used for small datasets due to computational cost. With the growth of data collection…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-24 Wassapon Watanakeesuntorn , Keichi Takahashi , Kohei Ichikawa , Joseph Park , George Sugihara , Ryousei Takano , Jason Haga , Gerald M. Pao

Reliability theory is used to assess the sensitivity of a passive flexion and active flexion of the human lower leg Finite Element (FE) models with Total Knee Replacement (TKR) to the variability in the input parameters of the respective FE…

Computational Engineering, Finance, and Science · Computer Science 2018-07-20 Corneliu T. C. Arsene

We use the coupled 2d-spin-3d-fermion model proposed by Rosch {\sl et. al.} (Phys. Rev. Lett. {\bf 79}, 159 (1997)) to study the thermoelectric behaviour of a heavy fermion compound when it is close to an antiferromagnetic quantum critical…

Strongly Correlated Electrons · Physics 2009-11-07 Indranil Paul , Gabriel Kotliar

We consider a mesh-based approach for training a neural network to produce field predictions of solutions to parametric partial differential equations (PDEs). This approach contrasts current approaches for "neural PDE solvers" that employ…

In the 80's, biomechanicians were asked to work on Computer Aided Surgery applications since orthopaedic surgeons were looking for numerical tools able to predict risks of fractures. More recently, biomechanicians started to address soft…

Medical Physics · Physics 2007-09-03 Patrick Schiavone , T. Boudou , J. Ohayon , Y. Payan

The study of pathological cardiac conditions such as arrhythmias, a major cause of mortality in heart failure, is becoming increasingly informed by computational simulation, numerically modelling the governing equations. This can provide…

Computational Engineering, Finance, and Science · Computer Science 2014-06-09 Nathan Kirk , Alan Benson , Christopher Goodyer , Matthew Hubbard

A review of the present state of investigations of the pseudospin-electron model (PEM), which is used in the theory of strongly correlated electron systems, is given. The model is used to describe the systems with the locally anharmonic…

Strongly Correlated Electrons · Physics 2016-11-23 Ihor Stasyuk

Simulation studies like finite element (FE) modeling provide insight into knee joint mechanics without patient experimentation. Generic FE models represent biomechanical behavior of the tissue by overlooking variations in geometry, loading,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Reza Kakavand , Mehrdad Palizi , Peyman Tahghighi , Reza Ahmadi , Neha Gianchandani , Samer Adeeb , Roberto Souza , W. Brent Edwards , Amin Komeili

Graph neural networks (GNNs) naturally align with sparse operators and unstructured discretizations, making them a promising paradigm for physics-informed machine learning in computational mechanics. Motivated by discrete physics losses and…

Machine Learning · Computer Science 2026-02-10 Jianchuan Yang , Xi Chen , Jidong Zhao

The boundary element method (BEM) enables solving three-dimensional electromagnetic problems using a two-dimensional surface mesh, making it appealing for applications ranging from electrical interconnect analysis to the design of…

Numerical Analysis · Mathematics 2021-12-14 Shashwat Sharma , Piero Triverio

Understanding and predicting human emotional and physiological states using wearable sensors has important applications in stress monitoring, mental health assessment, and affective computing. This study presents a novel Multi-Task…

Machine Learning · Computer Science 2025-05-27 Nischal Mandal

Finite Element Analysis (FEA) is a powerful but computationally intensive method for simulating physical phenomena. Recent advancements in machine learning have led to surrogate models capable of accelerating FEA. Yet there are still…

Machine Learning · Computer Science 2025-02-18 Georgios Triantafyllou , Panagiotis G. Kalozoumis , George Dimas , Dimitris K. Iakovidis

Objective: Functional coupling between the motor cortex and muscle activity is commonly detected and quantified by cortico-muscular coherence (CMC) or Granger causality (GC) analysis, which are applicable only to linear couplings and are…

Signal Processing · Electrical Eng. & Systems 2021-08-18 Zhenghao Guo , Verity M. McClelland , Osvaldo Simeone , Kerry R. Mills , Zoran Cvetkovic

We compare the Finite Element Method (FEM) simulation of a standard Partial Differential Equation thermal problem of a plate with a hole with a Neural Network (NN) simulation. The largest deviation from the true solution obtained from FEM…

Computational Engineering, Finance, and Science · Computer Science 2022-04-11 Andrea Sacchetti , Benjamin Bachmann , Kaspar Löffel , Urs-Martin Künzi , Beatrice Paoli

The Heterogeneous Multiscale Finite Element Method (FE-HMM) is a two-scale FEM based on asymptotic homogenization for solving multiscale partial differential equations. It was introduced in [W. E and B. Engquist, \emph{Commun. Math. Sci.},…

Numerical Analysis · Mathematics 2017-11-22 Bernhard Eidel , Andreas Fischer

Neuromorphic hardware platforms can significantly lower the energy overhead of a machine learning inference task. We present a design-technology tradeoff analysis to implement such inference tasks on the processing elements (PEs) of a Non-…

Neural and Evolutionary Computing · Computer Science 2022-03-11 Shihao Song , Adarsha Balaji , Anup Das , Nagarajan Kandasamy

Previous work introduced a lower-dimensional numerical model for the geometric nonlinear simulation and optimization of compliant pressure actuated cellular structures. This model takes into account hinge eccentricities as well as…

Quantitative Methods · Quantitative Biology 2017-07-31 Markus Pagitz , Remco I. Leine

We present a new approach for the two-temperature molecular dynamics (MD) model for coupled simulations of electronic and phonon heat conduction in nanoscale systems. The proposed method uses a master equation to perform heat conduction of…

Computational Physics · Physics 2019-09-04 Mohammad W. Ullah , Mauricio Ponga

A computationally efficient method is presented for approximate optimization of cutting pattern of frame-supported and pneumatic membrane structures. The plane cutting sheet is generated by minimizing the error from the shape obtained by…

Optimization and Control · Mathematics 2017-12-14 Makoto Ohsaki , Jun Fujiwara , Fumiyoshi Takeda