Results 11 to 20 of about 481 (184)
Surrogate modeling of fluid dynamics with a multigrid inspired neural network architecture
Machine Learning with Applications, 2021 Algebraic or geometric multigrid methods are commonly used in numerical solvers as they are a multi-resolution method able to handle problems with multiple scales.
Quang Tuyen Le, Chinchun Ooi
doaj +1 more source
A New Semistructured Algebraic Multigrid Method
SIAM Journal on Scientific Computing, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paludetto Magri V. A. +2 more
openaire +2 more sources
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
doaj +1 more source
Nonsymmetric Reduction-Based Algebraic Multigrid [PDF]
SIAM Journal on Scientific Computing, 2019 Algebraic multigrid (AMG) is often an effective solver for symmetric positive definite (SPD) linear systems resulting from the discretization of general elliptic PDEs, or the spatial discretization of parabolic PDEs. However, convergence theory and most variations of AMG rely on $A$ being SPD.
Thomas A. Manteuffel +3 more
openaire +4 more sources
Multigrid Method for Solving Inverse Problems for Heat Equation
Mathematics, 2022 In this paper, the inverse problems for the boundary value and initial value in a heat equation are posed and solved. It is well known that those problems are ill posed.
Hassan K. Ibrahim Al-Mahdawi +5 more
doaj +1 more source
Algebraic multigrid for the finite pointset method [PDF]
Computing and Visualization in Science, 2020 AbstractWe investigate algebraic multigrid (AMG) methods for the linear systems arising from the discretization of Navier–Stokes equations via the finite pointset method. In the segregated approach, three pressure systems and one velocity system need to be solved. In the coupled approach, one of the pressure systems is coupled with the velocity system,
Bram Metsch, Fabian Nick, Jörg Kuhnert
openaire +1 more source
AMGNET: multi-scale graph neural networks for flow field prediction
Connection Science, 2022 Solving partial differential equations of complex physical systems is a computationally expensive task, especially in Computational Fluid Dynamics(CFD). This drives the application of deep learning methods in solving physical systems.
Zhishuang Yang +3 more
doaj +1 more source
A Parallel Wavelet-Based Algebraic Multigrid Black-Box Solver and Preconditioner
Journal of Applied Mathematics, 2012 This work introduces a new parallel wavelet-based algorithm for algebraic multigrid method (PWAMG) using a variation of the standard parallel implementation of discrete wavelet transforms.
Fabio Henrique Pereira +1 more
doaj +1 more source
Case Studies in Thermal Engineering, 2023 The purpose of this study is to simulate thermal flows via quasi-Newtonian modeling by employing Finite Element Methods (FEM), as well as Newton Multigrid Solvers (NMS).
Rashid Mahmood +7 more
doaj +1 more source
Convergence in Norm of Nonsymmetric Algebraic Multigrid [PDF]
SIAM Journal on Scientific Computing, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tom Manteuffel, Ben S. Southworth
openaire +2 more sources