Results 21 to 30 of about 1,193 (178)
The Athena++ Adaptive Mesh Refinement Framework: Multigrid Solvers for Self-gravity
The Astrophysical Journal Supplement Series, 2023 We describe the implementation of multigrid solvers in the Athena++ adaptive mesh refinement (AMR) framework and their application to the solution of the Poisson equation for self-gravity.
Kengo Tomida, James M. Stone
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A Bayesian Reflection on Surfaces
Entropy, 1999 : The topic of this paper is a novel Bayesian continuous-basis field representation and inference framework. Within this paper several problems are solved: The maximally informative inference of continuous-basis fields, that is where the basis for the ...
David R. Wolf
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Deflated GMRES with multigrid for lattice QCD
Physics Letters B, 2020 Lattice QCD solvers encounter critical slowing down for fine lattice spacings and small quark mass. Traditional matrix eigenvalue deflation is one approach to mitigating this problem.
Travis Whyte +2 more
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A reinforcement learning strategy to automate and accelerate h/p-multigrid solvers
Results in EngineeringWe explore a reinforcement learning strategy to automate and accelerate h/p-multigrid methods in high-order solvers. Multigrid methods are very efficient but require fine-tuning of numerical parameters, such as the number of smoothing sweeps per level ...
David Huergo +5 more
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Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **
ESAIM: Proceedings and Surveys, 2014 In order to solve the linear partial differential equation Au = f, we combine two methods: Full-Multigrid method and Hessian-based mesh adaptation.
Brèthes Gautier
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On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid Methods [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018 In this work we consider the boundary integral equation describing the steady state heat conduction taking place in three dimensional enclosure geometries.
Naji Qatanani, AbdelLatif Sa'adAldin
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Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
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MathematicsIn recent decades, a remarkable amount of research has been carried out regarding fast solvers for large linear systems resulting from various discretizations of fractional differential equations (FDEs). In the current work, we focus on multigrid methods
Danyal Ahmad +4 more
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
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Two Methods to Improve the Efficiency of Supersonic Flow Simulation on Unstructured Grids
Fluids, 2022 The paper presents two methods to improve the efficiency of supersonic flow simulation using arbitrarily shaped unstructured grids. The first method promotes increasing the numerical solution convergence rate and is based on the geometric multigrid ...
Andrei S. Kozelkov +2 more
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