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CFD Julia: A Learning Module Structuring an Introductory Course on Computational Fluid Dynamics
Fluids, 2019 CFD Julia is a programming module developed for senior undergraduate or graduate-level coursework which teaches the foundations of computational fluid dynamics (CFD).
Suraj Pawar, Omer San
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The halfsweeps multigrid method as a fast multigrid poisson solver [PDF]
International Journal of Computer Mathematics, 1998 The idea of halfsweeps iterative method (introduced by A. R. Abdullah, 1991) is used to develop the halfsweeps multigrid method to solve the 2-D elliptic partial differential equation with the Dirichlet boundary conditions. The method is shown to be very much faster compared with the fullsweeps multigrid method due to M. M. Gupta et al, 1995.
Othman, Mohamed, Abdullah, Abdul Rahman
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The Mixed Finite Element Multigrid Method for Stokes Equations
The Scientific World Journal, 2015 The stable finite element discretization of the Stokes problem produces a symmetric indefinite system of linear algebraic equations. A variety of iterative solvers have been proposed for such systems in an attempt to construct efficient, fast, and robust
K. Muzhinji, S. Shateyi, S. S. Motsa
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Journal of Advances in Modeling Earth Systems, 2021 The regional System of Multigrid Nonlinear Least Squares Four‐dimensional Variational Data Assimilation for Numerical Weather Prediction (SNAP) was recently established based on the multigrid NLS‐4DVar assimilation scheme, Weather Research and ...
Hongqin Zhang, Xiangjun Tian
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Numerical Linear Algebra with Applications, 2008 AbstractThis special issue contains papers from the Fourteenth Copper Mountain Conference on Multigrid Methods, held in the Colorado Rocky Mountains on March 22–27, 2009. The papers address a variety of applications and cover a breadth of topics, ranging from theory to high‐performance computing. Copyright © 2010 John Wiley & Sons, Ltd.
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Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021), 2022 We report an implementation of a multigrid solver for the Clover fermion on supercomputer Fugaku, which uses A64FX CPU with Arm architecture. On Fugaku, a highly optimized implementation of BiCGStab solver with domain decomposed preconditioner for the Clover fermion, called QCD Wide SIMD library (QWS), is available.
Ishikawa, Ken-Ichi +2 more
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Monolithic Multigrid for Magnetohydrodynamics
CoRR, 2020 The magnetohydrodynamics (MHD) equations model a wide range of plasma physics applications and are characterized by a nonlinear system of partial differential equations that strongly couples a charged fluid with the evolution of electromagnetic fields.
Adler, J +5 more
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Mathematical Modelling and Analysis, 2012 This paper deals with the numerical solution of a two-dimensional thermoporoelasticity problem using a finite-difference scheme. Two issues are discussed: stability and convergence in discrete energy norms of the finite-difference scheme are proved, and ...
Natalia Boal +3 more
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On a Multigrid Method for Tempered Fractional Diffusion Equations
Fractal and Fractional, 2021 In this paper, we develop a suitable multigrid iterative solution method for the numerical solution of second- and third-order discrete schemes for the tempered fractional diffusion equation.
Linlin Bu, Cornelis W. Oosterlee
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Multigrid methods for an elliptic optimal control problem with pointwise state constraints
Results in Applied Mathematics, 2023 We design multigrid methods for an elliptic distributed optimal control problem with pointwise state constraints. They are based on the P1 finite element method from Brenner et al.
Susanne C. Brenner +2 more
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