Results 11 to 20 of about 12,853 (184)
Effective Preconditioners for Mixed‐Dimensional Scalar Elliptic Problems
Water Resources Research, 2023 Discretization of flow in fractured porous media commonly lead to large systems of linear equations that require dedicated solvers. In this work, we develop an efficient linear solver and its practical implementation for mixed‐dimensional scalar elliptic
Xiaozhe Hu +2 more
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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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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
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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
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Flow field clustering via algebraic multigrid [PDF]
IEEE Visualization 2004, 2005 We present a novel multiscale approach for flow visualization. We define a local alignment tensor that encodes a measure for alignment to the direction of a given flow field. This tensor induces an anisotropic differential operator on the flow domain, which is discretized with a standard finite element technique.
Griebel, M. +4 more
openaire +3 more sources
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
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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
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Comparison of Algebraic Multigrid Preconditioners for Solving Helmholtz Equations
Journal of Applied Mathematics, 2012 An algebraic multigrid (AMG) with aggregation technique to coarsen is applied to construct a better preconditioner for solving Helmholtz equations in this paper.
Dandan Chen, Ting-Zhu Huang, Liang Li
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Smoothed aggregation multigrid for a Stokes problem [PDF]
, 2018 We discuss advantages of using algebraic multigrid based on smoothed aggregation for solving indefinite linear problems. The ingredients of smoothed aggregation are used to construct a black-box monolithic multigrid method with indefinite coarse problems.
Janka, Aleš
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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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