Multilevel Second-Moment Methods with Group Decomposition for Multigroup Transport Problems
North Carolina State University（北卡罗来纳州立大学）；Los Alamos National Laboratory（洛斯阿拉莫斯国家实验室）
Dmitriy Y. Anistratov, Joseph M. Coale, James S. Warsa, Jae H. Chang
发表信息：
Proceedings of The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2021), 404-413 (2021)
This paper presents multilevel iterative schemes for solving the multigroup Boltzmann transport equations (BTEs) with parallel calculation of group equations. They are formulated with multigroup and grey low-order equations of the Second-Moment (SM) method. The group high-order BTEs and low-order SM (LOSM) equations are solved in parallel. To further improve convergence and increase computational efficiency of algorithms Anderson acceleration is applied to inner iterations for solving the system of multigroup LOSM equations. Numerical results are presented to demonstrate performance of the multilevel iterative methods.
A highly parallel multilevel Newton-Krylov-Schwarz method with subspace-based coarsening and partition-based balancing for the multigroup neutron transport equations on 3D unstructured meshes
Neutron transport criticality calculations using a parallel monolithic multilevel Schwarz preconditioner together with a nonlinear diffusion acceleration method
A posteriori error estimates for mixed finite element discretization of the multigroup Neutron Simplified Transport equations with Robin boundary condition
POEMS, CNRS, INRIA, ENSTA, Institut Polytechnique de Paris（POEMS, 法国国家科学研究中心, 法国国家信息与自动化研究所, ENSTA巴黎综合理工学院, 巴黎理工学院）；Université Paris-Saclay, CEA, Service d’Études des Réacteurs et de Mathématiques Appliquées（巴黎萨克雷大学, 法国原子能和替代能源委员会, 反应堆研究与数学应用处）
Adaptive-Multilevel BDDC and its parallel implementation
University of Southern California（南加州大学）；Institute of Thermomechanics, Academy of Sciences of the Czech Republic（捷克科学院热力学研究所）；Institute of Mathematics, Academy of Sciences of the Czech Republic（捷克科学院数学研究所）；University of Colorado Denver（科罗拉多大学丹佛分校）
Hierarchical Gaussian Random Fields for Multilevel Markov Chain Monte Carlo: Coupling Stochastic Partial Differential Equation and The Karhunen-Loève Decomposition
A-posteriori-steered $p$-robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems
TU Wien（维也纳工业大学）；Institute of Mathematics, Czech Academy of Sciences（捷克科学院数学研究所）；Inria（法国国家数字科学与多领域研究所）；Ecole nationale des ponts et chaussées（国立路桥学校）；University of Pittsburgh（匹兹堡大学）
Institute of Mathematics, Academy of Sciences of the Czech Republic（捷克科学院数学研究所）；Department of Mathematical and Statistical Sciences, University of Colorado Denver（科罗拉多大学丹佛分校数学与统计科学系）；Department of Aerospace and Mechanical Engineering, University of Southern California（南加州大学航空航天与机械工程系）；Department of Mathematics, Faculty of Mechanical Engineering, Czech Technical University（捷克理工大学机械工程学院数学系）
Multilevel Preconditioning of Discontinuous-Galerkin Spectral Element Methods, Part I: Geometrically Conforming Meshes
RWTH Aachen（亚琛工业大学）；CNRS, UMR 7598, Laboratoire Jacques-Louis Lions（法国国家科学研究中心，联合研究单位7598，雅克-路易·利翁斯实验室）；UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions（巴黎第六大学，联合研究单位7598，雅克-路易·利翁斯实验室）；Politecnico di Torino（都灵理工大学）
Neural network-driven domain decomposition for efficient solutions to the Helmholtz equation
Department of Mathematics and Computer Science, Eindhoven University of Technology（数学与计算机科学系，埃因霍温理工大学）；Atlantis project-team, Inria Research Center at Université Côte d'Azur（Atlantis项目组，法国国家信息与自动化技术研究院（Inria）在阿尔卑斯大学（Université Côte d'Azur）的研究中心）；MACARON project-team, Université de Strasbourg, CNRS, Inria, IRMA（MACARON项目组，斯特拉斯堡大学，法国国家科学研究中心（CNRS），法国国家信息与自动化技术研究院（Inria），IRMA）
A Reduced-Order Model for Nonlinear Radiative Transfer Problems Based on Moment Equations and POD-Petrov-Galerkin Projection of the Normalized Boltzmann Transport Equation
$O(N)$ Iterative and $O(NlogN)$ Fast Direct Volume Integral Equation Solvers with a Minimal-Rank ${\cal H}^2$-Representation for Large-Scale $3$-D Electrodynamic Analysis
School of Electrical and Computer Engineering, Purdue University（普渡大学电气与计算机工程学院）
