Article
Mechanics
Ricardo A. Picon, Danilo M. Santos, Daniel V. C. Teles, David L. N. F. Amorim, Xuhong Zhou, Yongtao Bai, Sergio P. B. Proenca, Julio Florez-Lopez
Summary: In this paper, a new formulation called extended damage mechanics is proposed to describe the two-phase phenomenon of energy dissipation. The framework incorporates additional terms of lumped energy dissipation into a weak form of the damage evolution law, characterizing the solution as a non-cooperative equilibrium point. The concept, known as Nash point, is named after mathematician John Forbes Nash. The numerical implementation of extended damage mechanics shows the objectivity of numerical simulations with respect to finite element meshes in practical cases.
ENGINEERING FRACTURE MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Patrick E. Farrell, Luis F. Gatica, Bishnu P. Lamichhane, Ricardo Oyarzua, Ricardo Ruiz-Baier
Summary: The study presents a mixed finite element method adapted from the three-field formulation for hyperelastic materials, showing high numerical efficiency and convergence properties. The method exhibits good numerical performance and physical fidelity when dealing with incompressibility constraints in solid mechanics.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Mechanical
Eric M. Stewart, Sooraj Narayan, Lallit Anand
Summary: This article emphasizes the importance of mathematical modeling for polyethylene glycol-diacrylate (PEG-DA) hydrogels. By modifying an existing theory and conducting numerical simulations, the experimental observations of diffusion and swelling in PEG-DA rods are successfully reproduced.
EXTREME MECHANICS LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Gianluca Roscioli, Matej Repka, Stella Pedrazzini, Cemal Cem Tasan
Summary: It is found that the direction of crack propagation and failure mechanism in coated carbide-rich martensitic stainless steels changes with increasing corrosion severity.
Article
Materials Science, Multidisciplinary
Sooraj Narayan, Lallit Anand
Summary: Polyelectrolyte gels are attractive for various applications due to their ability to respond to chemical signals from the external environment. The physics behind the swelling and deswelling processes in these gels is complex, involving large deformations, transport of solvent and ions, and ionization of functional side-groups. This study presents a thermodynamically-consistent theory and numerical simulations that successfully reproduce experimental results and demonstrate the practical utility of the theory in designing actuators.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2022)
Article
Materials Science, Multidisciplinary
Eric M. Stewart, Sooraj Narayan, Lallit Anand
Summary: Hydrogel ionotronic devices have great potential for applications in soft robotics, wearable and implantable actuators and sensors, especially when low weight, high flexibility, and optical transparency are important. This paper presents a finite-deformation theory for modeling the coupled electro-chemo-mechanical response of ionic hydrogels and describes the numerical implementation of the theory using a finite element program. The authors demonstrate that their numerical simulation capability successfully models the response of two ionotronic devices: a capacitance-change based large strain sensor and a dynamic large strain actuator, which have been previously studied experimentally by Sun et al. (2014) and Keplinger et al. (2013).
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Mathematics, Applied
Jules K. Djoko, Jonas Koko, Sognia Konlack
Summary: In this work, a novel approach is proposed for the finite element approximation of the Stokes equations under slip boundary condition. The tangential component of traction force is approximated by a truncated function. The study includes a complete analysis of the truncated formulation in two and three dimensions, proving linear convergence rate of the finite element solution under standard regularity assumptions.
ADVANCES IN COMPUTATIONAL MATHEMATICS
(2022)
Article
Mathematics, Applied
Francesco Dell'Accio, Filomena Di Tommaso, Allal Guessab, Federico Nudo
Summary: This study proposes a method of enriching the standard simplicial linear finite element by non-polynomial functions, and provides necessary and sufficient conditions for the existence of enriched element families. It is also shown that the enriched basis functions can be represented in a closed form using enrichment functions and functionals. Finally, numerical tests are conducted. This approach can address the under-performance of low-order elements in nearly incompressible materials.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Chemistry, Multidisciplinary
Abdulnaser M. Alshoaibi, Abdullateef H. Bashiri
Summary: The aim of this study is to investigate fatigue crack growth behavior in the mixed mode (I/II) of AISI 316 austenitic stainless steel alloy at different mode mixity angles of 30 degrees, 45 degrees, and 60 degrees. This alloy is extensively used in the marine industry and various structural components due to its exceptional properties. By analyzing crack growth behavior, the study aims to provide insights into the material's durability and potential for long-term use in demanding applications.
APPLIED SCIENCES-BASEL
(2023)
Article
Biotechnology & Applied Microbiology
Zhihui Qian, Zhiqiang Zhuang, Xiangyu Liu, Haotian Bai, Lei Ren, Luquan Ren
Summary: This study investigates the impact of cyclic loading on the mechanical properties of human heel pads. It reveals that cyclic loading can increase the stiffness of the heel pad and the peak impact force. Furthermore, sustained cyclic loading may result in the fracturing of the collagen fibers and reduce the stiffness and impact force of the heel pad.
FRONTIERS IN BIOENGINEERING AND BIOTECHNOLOGY
(2023)
Article
Engineering, Mechanical
Bjorn A. Palsson, Ramakrishnan Ambur, Michel Sebes, Ping Wang, Jou-Yi Shih, Demeng Fan, Jingmang Xu, Jiayin Chen
Summary: This paper compares different track model formulations for simulating dynamic vehicle-track interaction in switches and crossings. Good agreement is found between the different track models for wheel-rail contact forces and rail displacements. The co-running and structural track models show better agreement in predicting wheel-rail contact forces.
VEHICLE SYSTEM DYNAMICS
(2023)
Article
Mathematics, Applied
Adam Zdunek, Waldemar Rachowicz
Summary: This paper compares a locking-free pure displacement finite element formulation and an inf-sup stable displacement-pressure mixed finite element formulation for nearly incompressible linear elasticity. The results show that the mixed formulation performs better in terms of pressure robustness and convergence rate.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Mechanics
Stefano Signetti, Seunghwa Ryu, Nicola M. Pugno
Summary: An analytical model is developed to study the ballistic behavior of multilayer composite armors subjected to high-velocity impact. The model considers the effect of thickness compaction and curing pressure on impact toughness, and is validated through experiments and simulations. The study finds that graded multilayer configurations can enhance the toughness of armor, and have potential applications in the design and optimization of shielding structures.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Civil
Pietro Foti, Nima Razavi, Majid Reza Ayatollahi, Liviu Marsavina, Filippo Berto
Summary: This study investigates the application of the strain energy density method to blunt V-notches under mixed loading conditions using finite element models with a free mesh pattern. A new procedure as a post-processing tool is proposed to reduce the workload and calculation time for designers and researchers, compared to the traditional procedure requiring two numerical simulations.
ENGINEERING STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Robert S. Browning, Kent T. Danielson, David L. Littlefield
Summary: The author developed 19-node second-order C0 pyramid element formulations to address the issue of negative lumped masses in the popular 13 and 14-node pyramid elements. These formulations also meet other specific requirements of explicit methods and provide multiple pyramid quadrature rules. Verification through various benchmark problems demonstrated the robust performance of this method in accurately handling critical regions in highly nonlinear inelastic analyses.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Anesthesiology
Rodrigo Cornejo, Pablo Iturrieta, Tayran M. M. Olegario, Carolina Kajiyama, Daniel Arellano, Dannette Guinez, Maria A. Cerda, Roberto Brito, Abraham I. J. Gajardo, Marioli Lazo, Lorena Lopez, Caio C. A. Morais, Sedric Gonzalez, Miguel Zavala, Veronica Rojas, Juan N. Medel, Daniel E. Hurtado, Alejandro Bruhn, Cristobal Ramos, Nivia Estuardo
Summary: The study compared global Strain(CT) with the change in electrical impedance (Delta Z) and found that electrical impedance may accurately assess global cyclic strain without radiation at bedside.
ACTA ANAESTHESIOLOGICA SCANDINAVICA
(2021)
Article
Mathematics, Applied
Nicolas Barnafi, Gabriel N. Gatica, Daniel E. Hurtado, Willian Miranda, Ricardo Ruiz-Baier
Summary: This work presents new primal and dual-mixed finite element methods for deformable image registration, considering the continuity of the similarity measure and ellipticity of the regularizer. By modifying the original model to incorporate additional degrees of freedom from the regularizer's kernel, ellipticity is granted on the entire solution space. The well-posedness of extended formulations and error estimates with convergence rates are proven, with numerical examples demonstrating the efficiency of the methods in registration tasks, particularly for translations and rotations.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
(2021)
Article
Engineering, Multidisciplinary
Felipe Alvarez-Barrientos, Daniel E. Hurtado, Martin Genet
Summary: In this study, a finite-deformation variational framework was developed for pressure-driven foams. The stress distribution in lung tissue was numerically simulated under different boundary conditions, revealing a strong dependence on kinematic constraints in the spherical alveolar model but not in the image-based alveolar model. Comparison of pressure-driven and deformation-driven models showed a significant shift in hydrostatic stresses but unaffected deviatoric stresses. These findings have implications for lung simulation related to mechanical ventilation and spontaneous breathing.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2021)
Article
Physiology
Mauricio A. Sarabia-Vallejos, Pedro Ayala-Jeria, Daniel E. Hurtado
Summary: This study utilized micro-CT imaging and computational geometry algorithms to investigate the regional distribution of key morphological parameters in rat lungs, demonstrating a uniform distribution of alveolar structure in normal lungs which is not affected by gravitational effects. The proposed dehydration protocol effectively preserved alveolar morphology.
FRONTIERS IN PHYSIOLOGY
(2021)
Article
Chemistry, Multidisciplinary
Pamela Franco, Julio Sotelo, Cristian Montalba, Bram Ruijsink, Eric Kerfoot, David Nordsletten, Joaquin Mura, Daniel Hurtado, Sergio Uribe
Summary: This study applied a method to quantify multiple left intraventricular hemodynamic parameters, revealing significant differences in velocity, vorticity, energy loss, etc. between dilated cardiomyopathy patients and healthy volunteers. The hemodynamic parameters obtained showed high reproducibility.
APPLIED SCIENCES-BASEL
(2021)
Article
Veterinary Sciences
Joaquin Araos, Luca Lacitignola, Valentina de Monte, Marzia Stabile, Ian Porter, Daniel E. Hurtado, Agustin Perez, Antonio Crovace, Salvatore Grasso, Manuel Martin-Flores, Francesco Staffieri
Summary: This study found that body fat percentage affects lung function and the respiratory system in obese dogs, who often have extensive areas of hypo-aerated lungs. Ventilation protocols based on ideal body weight may be more beneficial for obese dogs in terms of lung deformation and airway pressure.
FRONTIERS IN VETERINARY SCIENCE
(2021)
Article
Engineering, Multidisciplinary
David Ortiz-Puerta, Agustin Cox, Daniel E. Hurtado
Summary: This study presents a novel framework for creating Non-Uniform Rational B-Splines surface models of the respiratory airways, enhancing the geometrical flexibility and accuracy of computational models of the respiratory system.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Veterinary Sciences
Joaquin Araos, Pablo Cruces, Manuel Martin-Flores, Pablo Donati, Robin D. Gleed, Tomas Boullhesen-Williams, Agustin Perez, Francesco Staffieri, Jaime Retamal, Marcos Vidal F. Melo, Daniel E. Hurtado
Summary: This study describes the magnitude and spatial distribution of lung strain in healthy anesthetized, mechanically ventilated dogs with and without positive end-expiratory pressure (PEEP). It found that lung heterogeneity affects the accuracy of global lung strain in representing regional total tissue lung strain. PEEP reduced dynamic strain but induced a large static strain. Limiting dynamic strain may be an important clinical target in healthy and diseased lungs, but further research is needed.
FRONTIERS IN VETERINARY SCIENCE
(2022)
Article
Cardiac & Cardiovascular Systems
Julio Sotelo, Pamela Franco, Andrea Guala, Lydia Dux-Santoy, Aroa Ruiz-Munoz, Arturo Evangelista, Hernan Mella, Joaquin Mura, Daniel E. Hurtado, Jose F. Rodriguez-Palomares, Sergio Uribe
Summary: This study quantified and ranked several three-dimensional hemodynamic parameters in patients with bicuspid aortic valve (BAV), and found that flow eccentricity, velocity angle, and regurgitation fraction have the best relationships with aortic diameter, effectively differentiating patients with BAV from healthy volunteers.
FRONTIERS IN CARDIOVASCULAR MEDICINE
(2022)
Article
Biology
Felipe Contreras-Briceno, Maximiliano Espinosa-Ramirez, Vicente Keim-Bagnara, Matias Carreno-Roman, Rafael Rodriguez-Villagra, Fernanda Villegas-Belmar, Gines Viscor, Luigi Gabrielli, Marcelo E. Andia, Oscar F. Araneda, Daniel E. Hurtado
Summary: The study aimed to evaluate if changes in oxygen saturation levels at intercostal muscles using NIRS could determine RCP during exercise in triathletes. The results showed a good agreement between NIRS and visual methods in determining RCP, indicating that changes in SmO2 m.intercostales measured by NIRS can effectively determine RCP in triathletes.
Article
Engineering, Multidisciplinary
Pablo Zurita, Daniel E. Hurtado
Summary: This study introduces a coupled three-dimensional computational model to simulate pulmonary capillary perfusion and gas exchange in alveolar structures. Numerical experiments validate the accuracy and applicability of the model, demonstrating blood pressure drops and gas partial pressure dynamics. This model contributes to a better understanding of lung physiology and pathology.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Agustin Cox, David Ortiz-Puerta, Julio Sotelo, Sergio Uribe, Daniel E. Hurtado
Summary: This study presents a mechanics-informed snakes isogeometric analysis (MISIGA) method for estimating strain fields in the aortic wall from medical images. The method combines image segmentation with advanced curvilinear representations to capture the deformation mapping of irregular vessels, and constructs continuous strain fields in the full aorta. The MISIGA method performs well in strain estimation in both synthetic images and a normal aorta, demonstrating high accuracy and feasibility. It is envisioned that the MISIGA method can provide seamless high-fidelity analysis of 3D strain in the aorta and other vessels.
ENGINEERING WITH COMPUTERS
(2022)
Article
Physiology
Nibaldo Aviles-Rojas, Daniel E. Hurtado
Summary: This study aims to create anatomical computational models of the lungs to predict clinically-relevant respiratory variables. A continuum poromechanical framework is formulated to account for the air-tissue interaction in the lung parenchyma. The proposed lung model accurately predicts physiological variables in mechanical ventilation and the supersyringe method. The findings demonstrate the potential of finite-element poromechanical models in predicting clinically-relevant variables in respiratory medicine.
FRONTIERS IN PHYSIOLOGY
(2022)
Article
Geochemistry & Geophysics
Felipe Saez-Leiva, Daniel E. Hurtado, Muriel Gerbault, Javiera Ruz-Ginouves, Pablo Iturrieta, Jose Cembrano
Summary: In this study, a finite element method is used to simulate the control of crustal faults on nearby geothermal reservoirs. The results show that fault slip leads to changes in fluid pressure domains, which in turn affect the migration of reservoir fluids. These fluid pressure changes are achieved through variations in fault permeability and fluid viscosity. The study also finds that pressure-driven diffusion of fluids causes fluid flow to return to a stationary state over time. Therefore, solid-fluid coupling needs to be considered in numerical models for volcano-tectonic studies.
EARTH AND PLANETARY SCIENCE LETTERS
(2023)
Article
Engineering, Multidisciplinary
Akshay J. Thomas, Mateusz Jaszczuk, Eduardo Barocio, Gourab Ghosh, Ilias Bilionis, R. Byron Pipes
Summary: We propose a physics-guided transfer learning approach to predict the thermal conductivity of additively manufactured short-fiber reinforced polymers using micro-structural characteristics obtained from tensile tests. A Bayesian framework is developed to transfer the thermal conductivity properties across different extrusion deposition additive manufacturing systems. The experimental results demonstrate the effectiveness and reliability of our method in accounting for epistemic and aleatory uncertainties.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Zhen Zhang, Zongren Zou, Ellen Kuhl, George Em Karniadakis
Summary: In this study, deep learning and artificial intelligence were used to discover a mathematical model for the progression of Alzheimer's disease. By analyzing longitudinal tau positron emission tomography data, a reaction-diffusion type partial differential equation for tau protein misfolding and spreading was discovered. The results showed different misfolding models for Alzheimer's and healthy control groups, indicating faster misfolding in Alzheimer's group. The study provides a foundation for early diagnosis and treatment of Alzheimer's disease and other misfolding-protein based neurodegenerative disorders using image-based technologies.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jonghyuk Baek, Jiun-Shyan Chen
Summary: This paper introduces an improved neural network-enhanced reproducing kernel particle method for modeling the localization of brittle fractures. By adding a neural network approximation to the background reproducing kernel approximation, the method allows for the automatic location and insertion of discontinuities in the function space, enhancing the modeling effectiveness. The proposed method uses an energy-based loss function for optimization and regularizes the approximation results through constraints on the spatial gradient of the parametric coordinates, ensuring convergence.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Bodhinanda Chandra, Ryota Hashimoto, Shinnosuke Matsumi, Ken Kamrin, Kenichi Soga
Summary: This paper proposes new and robust stabilization strategies for accurately modeling incompressible fluid flow problems in the material point method (MPM). The proposed approach adopts a monolithic displacement-pressure formulation and integrates two stabilization strategies to ensure stability. The effectiveness of the proposed method is validated through benchmark cases and real-world scenarios involving violent free-surface fluid motion.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Chao Peng, Alessandro Tasora, Dario Fusai, Dario Mangoni
Summary: This article discusses the importance of the tangent stiffness matrix of constraints in multibody systems and provides a general formulation based on quaternion parametrization. The article also presents the analytical expression of the tangent stiffness matrix derived through linearization. Examples demonstrate the positive effect of this additional stiffness term on static and eigenvalue analyses.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Thibaut Vadcard, Fabrice Thouverez, Alain Batailly
Summary: This contribution presents a methodology for detecting isolated branches of periodic solutions to nonlinear mechanical equations. The method combines harmonic balance method-based solving procedure with the Melnikov energy principle. It is able to predict the location of isolated branches of solutions near families of autonomous periodic solutions. The relevance and accuracy of this methodology are demonstrated through academic and industrial applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Weisheng Zhang, Yue Wang, Sung-Kie Youn, Xu Guo
Summary: This study proposes a sketch-guided topology optimization approach based on machine learning, which incorporates computer sketches as constraint functions to improve the efficiency of computer-aided structural design models and meet the design intention and requirements of designers.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Leilei Chen, Zhongwang Wang, Haojie Lian, Yujing Ma, Zhuxuan Meng, Pei Li, Chensen Ding, Stephane P. A. Bordas
Summary: This paper presents a model order reduction method for electromagnetic boundary element analysis and extends it to computer-aided design integrated shape optimization of multi-frequency electromagnetic scattering problems. The proposed method utilizes a series expansion technique and the second-order Arnoldi procedure to reduce the order of original systems. It also employs the isogeometric boundary element method to ensure geometric exactness and avoid re-meshing during shape optimization. The Grey Wolf Optimization-Artificial Neural Network is used as a surrogate model for shape optimization, with radar cross section as the objective function.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
C. Pilloton, P. N. Sun, X. Zhang, A. Colagrossi
Summary: This paper investigates the smoothed particle hydrodynamics (SPH) simulations of violent sloshing flows and discusses the impact of volume conservation errors on the simulation results. Different techniques are used to directly measure the particles' volumes and stabilization terms are introduced to control the errors. Experimental comparisons demonstrate the effectiveness of the numerical techniques.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Ye Lu, Weidong Zhu
Summary: This work presents a novel global digital image correlation (DIC) method based on a convolution finite element (C-FE) approximation. The C-FE based DIC provides highly smooth and accurate displacement and strain results with the same element size as the usual finite element (FE) based DIC. The proposed method's formulation and implementation, as well as the controlling parameters, have been discussed in detail. The C-FE method outperformed the FE method in all tested examples, demonstrating its potential for highly smooth, accurate, and robust DIC analysis.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Mojtaba Ghasemi, Mohsen Zare, Amir Zahedi, Pavel Trojovsky, Laith Abualigah, Eva Trojovska
Summary: This paper introduces Lung performance-based optimization (LPO), a novel algorithm that draws inspiration from the efficient oxygen exchange in the lungs. Through experiments and comparisons with contemporary algorithms, LPO demonstrates its effectiveness in solving complex optimization problems and shows potential for a wide range of applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jingyu Hu, Yang Liu, Huixin Huang, Shutian Liu
Summary: In this study, a new topology optimization method is proposed for structures with embedded components, considering the tension/compression asymmetric interface stress constraint. The method optimizes the topology of the host structure and the layout of embedded components simultaneously, and a new interpolation model is developed to determine interface layers between the host structure and embedded components.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Qiang Liu, Wei Zhu, Xiyu Jia, Feng Ma, Jun Wen, Yixiong Wu, Kuangqi Chen, Zhenhai Zhang, Shuang Wang
Summary: In this study, a multiscale and nonlinear turbulence characteristic extraction model using a graph neural network was designed. This model can directly compute turbulence data without resorting to simplified formulas. Experimental results demonstrate that the model has high computational performance in turbulence calculation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jacinto Ulloa, Geert Degrande, Jose E. Andrade, Stijn Francois
Summary: This paper presents a multi-temporal formulation for simulating elastoplastic solids under cyclic loading. The proper generalized decomposition (PGD) is leveraged to decompose the displacements into multiple time scales, separating the spatial and intra-cyclic dependence from the inter-cyclic variation, thereby reducing computational burden.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Utkarsh Utkarsh, Valentin Churavy, Yingbo Ma, Tim Besard, Prakitr Srisuma, Tim Gymnich, Adam R. Gerlach, Alan Edelman, George Barbastathis, Richard D. Braatz, Christopher Rackauckas
Summary: This article presents a high-performance vendor-agnostic method for massively parallel solving of ordinary and stochastic differential equations on GPUs. The method integrates with a popular differential equation solver library and achieves state-of-the-art performance compared to hand-optimized kernels.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)