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In this work, we present an efficient numerical implementation of the finite element method for modal analysis that leverages various symmetry operations, including spatial symmetry in point groups and space-time symmetry in…

Optics · Physics 2024-09-12 Jingwei Wang , Lida Liu , Yuhao Jing , Zhongfei Xiong , Yuntian Chen

Numerous full-field numerical methods exist concerning the digital description of polycrystalline materials and the modeling of their evolution during thermomechanical treatments. However, these strategies are globally dedicated to the…

Computational Engineering, Finance, and Science · Computer Science 2022-08-22 Nitish Chandrappa , Marc Bernacki

Despite its numerical challenges, finite element method is used to compute viscous fluid flow. A consensus on the cause of numerical problems has been reached; however, general algorithms---allowing a robust and accurate simulation for any…

Computational Engineering, Finance, and Science · Computer Science 2019-02-05 Bilen Emek Abali

In this paper, we present a study on how to develop an efficient multiscale simulation strategy for the dynamics of chemically active systems on low-dimensional supports. Such reactions are encountered in a wide variety of situations,…

Computational Physics · Physics 2015-06-04 Giacomo Mazzi , Yannick De Decker , Giovanni Samaey

With ongoing advancements in nuclear theory and experimentation, together with a growing body of neutron star (NS) observations, a wealth of information on the equation of state (EOS) for matter at extreme densities has become accessible.…

High Energy Astrophysical Phenomena · Physics 2025-07-18 Bhaskar Biswas , Stephan Rosswog

The layer-upon-layer approach in additive manufacturing, open or closed cells in polymeric or metallic foams involve an intrinsic microstructure tailored to the underlying applications. Homogenization of such architectured materials creates…

Computational Engineering, Finance, and Science · Computer Science 2025-09-24 B. Cagri Sarar , M. Erden Yildizdag , Francesco Fabbrocino , B. Emek Abali

Augmenting mechanistic ordinary differential equation (ODE) models with machine-learnable structures is an novel approach to create highly accurate, low-dimensional models of engineering systems incorporating both expert knowledge and…

Dynamical Systems · Mathematics 2022-06-22 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

We study the existence and properties of the non-equilibrium steady state which arises by putting two copies of systems at different temperatures into a thermal contact. We solve the problem for the relativistic systems that are described…

Statistical Mechanics · Physics 2016-03-23 Razieh Pourhasan

We present a 5-phase equation of state (EOS) for elemental carbon. The phases considered are: diamond, BC8, simple-cubic, simple-hexagonal, and the liquid/plasma state. The solid phase free energies are constrained by density functional…

The nuclear equation of state (EOS) is at the center of numerous theoretical and experimental efforts in nuclear physics. With advances in microscopic theories for nuclear interactions, the availability of experiments probing nuclear matter…

Nuclear Theory · Physics 2024-01-29 Agnieszka Sorensen , Kshitij Agarwal , Kyle W. Brown , Zbigniew Chajęcki , Paweł Danielewicz , Christian Drischler , Stefano Gandolfi , Jeremy W. Holt , Matthias Kaminski , Che-Ming Ko , Rohit Kumar , Bao-An Li , William G. Lynch , Alan B. McIntosh , William G. Newton , Scott Pratt , Oleh Savchuk , Maria Stefaniak , Ingo Tews , ManYee Betty Tsang , Ramona Vogt , Hermann Wolter , Hanna Zbroszczyk , Navid Abbasi , Jörg Aichelin , Anton Andronic , Steffen A. Bass , Francesco Becattini , David Blaschke , Marcus Bleicher , Christoph Blume , Elena Bratkovskaya , B. Alex Brown , David A. Brown , Alberto Camaiani , Giovanni Casini , Katerina Chatziioannou , Abdelouahad Chbihi , Maria Colonna , Mircea Dan Cozma , Veronica Dexheimer , Xin Dong , Travis Dore , Lipei Du , José A. Dueñas , Hannah Elfner , Wojciech Florkowski , Yuki Fujimoto , Richard J. Furnstahl , Alexandra Gade , Tetyana Galatyuk , Charles Gale , Frank Geurts , Fabiana Gramegna , Sašo Grozdanov , Kris Hagel , Steven P. Harris , Wick Haxton , Ulrich Heinz , Michal P. Heller , Or Hen , Heiko Hergert , Norbert Herrmann , Huan Zhong Huang , Xu-Guang Huang , Natsumi Ikeno , Gabriele Inghirami , Jakub Jankowski , Jiangyong Jia , José C. Jiménez , Joseph Kapusta , Behruz Kardan , Iurii Karpenko , Declan Keane , Dmitri Kharzeev , Andrej Kugler , Arnaud Le Fèvre , Dean Lee , Hong Liu , Michael A. Lisa , William J. Llope , Ivano Lombardo , Manuel Lorenz , Tommaso Marchi , Larry McLerran , Ulrich Mosel , Anton Motornenko , Berndt Müller , Paolo Napolitani , Joseph B. Natowitz , Witold Nazarewicz , Jorge Noronha , Jacquelyn Noronha-Hostler , Grażyna Odyniec , Panagiota Papakonstantinou , Zuzana Paulínyová , Jorge Piekarewicz , Robert D. Pisarski , Christopher Plumberg , Madappa Prakash , Jørgen Randrup , Claudia Ratti , Peter Rau , Sanjay Reddy , Hans-Rudolf Schmidt , Paolo Russotto , Radoslaw Ryblewski , Andreas Schäfer , Björn Schenke , Srimoyee Sen , Peter Senger , Richard Seto , Chun Shen , Bradley Sherrill , Mayank Singh , Vladimir Skokov , Michał Spaliński , Jan Steinheimer , Mikhail Stephanov , Joachim Stroth , Christian Sturm , Kai-Jia Sun , Aihong Tang , Giorgio Torrieri , Wolfgang Trautmann , Giuseppe Verde , Volodymyr Vovchenko , Ryoichi Wada , Fuqiang Wang , Gang Wang , Klaus Werner , Nu Xu , Zhangbu Xu , Ho-Ung Yee , Sherry Yennello , Yi Yin

Numerical simulations of compressible fluid flows require an equation of state (EOS) to relate the thermodynamic variables of density, internal energy, temperature, and pressure. A valid EOS must satisfy the thermodynamic conditions of…

Computational Physics · Physics 2009-11-11 Gary A. Dilts

Finite element method (FEM) suffers from a serious mesh distortion problem when used for high velocity impact analyses. The smooth particle hydrodynamics (SPH) method is appropriate for this class of problems involving severe damages but at…

Computational Engineering, Finance, and Science · Computer Science 2012-05-08 S. Swaddiwudhipong , M. J. Islam , Z. S. Liu

We construct a new class of phenomenological equations of state for homogeneous matter for use in simulations of hot and dense matter in local thermodynamic equilibrium. We construct a functional form which respects experimental,…

Nuclear Theory · Physics 2019-02-20 Xingfu Du , Andrew W. Steiner , Jeremy W. Holt

In this paper, we propose a multirate iterative scheme with multiphysics finite element method for a fluid-saturated poroelasticity model. Firstly, we reformulate the original model into a fluid coupled problem to apply the multiphysics…

Numerical Analysis · Mathematics 2021-09-28 Zhihao Ge , Xiangzi Fu

This study presents a novel optimisation technique for atomic structure calculations using the Flexible Atomic Code, focussing on complex multielectron systems relevant to $r$-process nucleosynthesis and kilonova modelling. We introduce a…

We present an approach for synthesising observational data with elastodynamic finite element models by extending the statistical finite element method (statFEM) framework. The proposed formulation adopts a Bayesian filtering approach to…

Numerical Analysis · Mathematics 2026-04-15 Igor Kavrakov , Yaswanth Sai Jetti , Ahmet Oguzhan Yuksel , Fehmi Cirak

This manuscript presents a practical method for incorporating trained Neural Networks (NNs) into the Finite Element (FE) framework using a user material (UMAT) subroutine. The work exemplifies crystal plasticity, a complex inelastic…

Computational Physics · Physics 2024-10-14 Yuqing He , Yousef Heider , Bernd Markert

The design of structural & functional materials for specialized applications is being fueled by rapid advancements in materials synthesis, characterization, manufacturing, with sophisticated computational materials modeling frameworks that…

We present and discuss a framework for computer-aided multiscale analysis, which enables models at a "fine" (microscopic/stochastic) level of description to perform modeling tasks at a "coarse" (macroscopic, systems) level. These…

EOS is an open-source software for a variety of computational tasks in flavor physics. Its use cases include theory predictions within and beyond the Standard Model of particle physics, Bayesian inference of theory parameters from…