Relevant bibliographies by topics / Stabilized Bi-Conjugate Gradient Method

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Academic literature on the topic 'Stabilized Bi-Conjugate Gradient Method'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Stabilized Bi-Conjugate Gradient Method"

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Yu, Zhiru, Wenji Zhang, and Qing Huo Liu. "A Mixed-Order Stabilized Bi-Conjugate Gradient FFT Method for Magnetodielectric Objects." IEEE Transactions on Antennas and Propagation 62, no. 11 (2014): 5647–55. http://dx.doi.org/10.1109/tap.2014.2352634.

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Duan, Guangtao, and Bin Chen. "Comparison of parallel solvers for Moving Particle Semi-Implicit method." Engineering Computations 32, no. 3 (2015): 834–62. http://dx.doi.org/10.1108/ec-02-2014-0029.

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Purpose – The purpose of this paper is to find the best solver for parallelizing particle methods based on solving Pressure Poisson Equation (PPE) by taking Moving Particle Semi-Implicit (MPS) method as an example because the solution for PPE is usually the most time-consuming part difficult to parallelize. Design/methodology/approach – To find the best solver, the authors compare six Krylov solvers, namely, Conjugate Gradient method (CG), Scaled Conjugate Gradient method (SCG), Bi-Conjugate Gradient Stabilized (BiCGStab) method, Conjugate Gradient Squared (CGS) method with Symmetric Lanczos A
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Новиков, А. К., C. П. Копысов, and Н. С. Недожогин. "Parallel forming of preconditioners based on the approximation of the Sherman-Morrison inversion formula." Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie), no. 1 (April 2, 2015): 86–93. http://dx.doi.org/10.26089/nummet.v16r109.

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Исследуются возможности ускорения предобусловленных методов бисопряженных градиентов (BiCGStab, Bi-Conjugate Gradient Stabilized) с предобусловливателем на основе аппроксимации обращения матрицы по формуле Шермана-Моррисона. Рассмотрена новая форма параллельного алгоритма, использующая матрично-векторные произведения при формирования матриц предобусловливателя. Показана эффективность распараллеливания наиболее ресурсоемких операций этого предобусловливателя на графических процессорах. Acceleration of preconditioned bi-conjugate gradient stabilized (BiCGStab) methods with preconditioners based
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Ocłoń, Paweł, Stanisław Łopata, and Marzena Nowak. "Comparative study of conjugate gradient algorithms performance on the example of steady-state axisymmetric heat transfer problem." Archives of Thermodynamics 34, no. 3 (2013): 15–44. http://dx.doi.org/10.2478/aoter-2013-0013.

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Abstract The finite element method (FEM) is one of the most frequently used numerical methods for finding the approximate discrete point solution of partial differential equations (PDE). In this method, linear or nonlinear systems of equations, comprised after numerical discretization, are solved to obtain the numerical solution of PDE. The conjugate gradient algorithms are efficient iterative solvers for the large sparse linear systems. In this paper the performance of different conjugate gradient algorithms: conjugate gradient algorithm (CG), biconjugate gradient algorithm (BICG), biconjugat
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Wang, Hua, Feng Liu, Ling Xia, and Stuart Crozier. "An efficient impedance method for induced field evaluation based on a stabilized Bi-conjugate gradient algorithm." Physics in Medicine and Biology 53, no. 22 (2008): 6363–75. http://dx.doi.org/10.1088/0031-9155/53/22/007.

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Moutafis, Byron E., George A. Gravvanis, and Christos K. Filelis-Papadopoulos. "Hybrid multi-projection method using sparse approximate inverses on GPU clusters." International Journal of High Performance Computing Applications 34, no. 3 (2020): 282–305. http://dx.doi.org/10.1177/1094342020905637.

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The state-of-the-art supercomputing infrastructures are equipped with accelerators, such as graphics processing units (GPUs), that operate as coprocessors for each workstation of the distributed memory system. The multi-projection type methods are a class of algebraic domain decomposition methods based on semi-aggregation techniques. The multi-projection type methods have improved convergence behavior, as the number of subdomains increases, due to the corresponding augmentation of the semi-aggregated local linear systems with more coarse components, while the number of fine components is reduc
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Bello, Musa, Jianxin Liu, and Rongwen Guo. "Three-Dimensional Wide-Band Electromagnetic Forward Modelling Using Potential Technique." Applied Sciences 9, no. 7 (2019): 1328. http://dx.doi.org/10.3390/app9071328.

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The efficacy of Krylov subspace solvers is strongly dependent on the preconditioner applied to solve the large sparse linear systems of equation for electromagnetic problems. In this study, we present a three-dimensional (3-D) plane wave electromagnetic forward simulation over a broadband frequency range. The Maxwell’s equation is solved in a secondary formulation of the Lorentz gauge coupled-potential technique. A finite-volume scheme is employed for discretizing the system of equations on a structured rectilinear mesh. We employed a block incomplete lower-upper factorization (ILU) preconditi
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Ansari, Shahab U., Masroor Hussain, Sarvat M. Ahmad, Ahmar Rashid, and Suleman Mazhar. "STABILIZED MIXED FINITE ELEMENT METHOD FOR TRANSIENT DARCY FLOW." Transactions of the Canadian Society for Mechanical Engineering 41, no. 1 (2017): 85–97. http://dx.doi.org/10.1139/tcsme-2017-1006.

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Darcy flow is a steady-state model for laminar flow of a fluid through a porous medium. The present work proposes an extended model of laminar Darcy flow by introducing dynamic pressure and velocity to the classical formulation. The solution of the proposed time-space model is attained by discretizing the problem with a stabilized mixed Galerkin method in space and a forward Euler method in time. The resulting matrix equation is well-posed and is solved using the conjugate gradient (CG) method. The error analysis of the numerical solutions confirms convergence to the actual model.
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Florencio, Rafael, Álvaro Somolinos, Iván González, and Felipe Cátedra. "BICGSTAB-FFT Method of Moments with NURBS for Analysis of Planar Generic Layouts Embedded in Large Multilayer Structures." Electronics 9, no. 9 (2020): 1476. http://dx.doi.org/10.3390/electronics9091476.

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BICGSTAB-FFT method of moment (MM) scheme is proposed to analyze several levels of planar generic layouts embedded in large multilayer structures when the layout geometries are modeled by NURBS surfaces. In this scheme, efficient computation of normalized error defined in iterative bi-conjugate gradient stabilized (BICGSTAB) method for large multilayer structure analysis problems is implemented. The efficient computation is based on pulse expansion with dense equi-spaced mesh of generalized rooftop basis functions (BFs) defined on NURBS surfaces and equivalent periodic problem (EPP) in order t
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Mittal, Sanjay, Varun Bhatt, and D. N. Srinath. "Aerodynamic shape optimization using stabilized finite element method." Mathematical Models and Methods in Applied Sciences 25, no. 12 (2015): 2319–48. http://dx.doi.org/10.1142/s0218202515400102.

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An algorithm for aerodynamic shape optimization using a gradient-based approach is presented. A stabilized finite element method is utilized to solve the equations governing the fluid flow and adjoint variables. The effectiveness of the method in finding nontrivial designs that satisfy the posed objectives and constraints is demonstrated. It is shown that the initial guess plays an important role in the optimal solution that is realized. Shapes of bumps that are associated with a specified volume, lift and drag are determined and presented. The method is applied to design of airfoils in unstea
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Dissertations / Theses on the topic "Stabilized Bi-Conjugate Gradient Method"

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Cakir, Emre. "The Use Of Wavelet Type Basis Functions In The Mom Analysis Of Microstrip Structures." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/2/12605639/index.pdf.

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The Method of Moments (MoM) has been used extensively to solve electromagnetic problems. Its popularity is largely attributed to its adaptability to structures with various shapes and success in predicting the equivalent induced currents accurately. However, due to its dense matrix, especially for large structures, the MoM suffers from long matrix solution time and large storage requirement. In this thesis it is shown that use of wavelet basis functions result in a MoM matrix which is sparser than the one obtained by using traditional basis functions. A new wavelet system, different from the o
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Hu, Hong-Zhi, and 胡鴻志. "Poisson-Nernst-Planck-Fermi Nonlinear Solver for TRPV1 Channels with Bi-Conjugate Gradient Method." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/57354n.

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Conference papers on the topic "Stabilized Bi-Conjugate Gradient Method"

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Blomquist, Matthew, and Abhijit Mukherjee. "Performance Improvements of Krylov Subspace Methods in Numerical Heat Transfer and Fluid Flow Simulations." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-12174.

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Abstract In recent years, advancements in computational hardware have enabled massive parallelism that can significantly reduce the duration of many numerical simulations. However, many high-fidelity simulations use serial algorithms to solve large systems of linear equations and are not well suited to exploit the parallelism of modern hardware. The Tri-Diagonal Matrix Algorithm (TDMA) is one such example of a serial algorithm that is ubiquitous in numerical simulations of heat transfer and fluid flow. Krylov subspace methods for solving linear systems, such as the Bi-Conjugate Gradients (BiCG
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Zha, Ruosi, Wei Qiu, and Heather Peng. "Solving 2D Fluid-Structure Interaction Problem by a Coupled Particle Method." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-61136.

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It is important to predict wave impact and structural responses of ship and offshore structures in extreme sea conditions. There are advantages to apply Lagrangian particle methods to simulate highly nonlinear breaking free surface flow and fluid-structure interactions (FSI). In this paper, an improved moving particle semi-implicit (MPS) method was developed to solve the FSI problems. At each time step, the fluid motions and the structural responses are solved. For flow computations, a modified mixed source term method and an improved free surface identification method were adopted to suppress
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Wen, Peng, and Wei Qiu. "CIP and Parallel Computing Based Numerical Solutions of 3-D Slamming Problems." In ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/omae2015-41292.

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This paper presents the further development of numerical simulation method to solve 3-D highly non-linear slamming problems using parallel computing algorithms. The water entry problems are treated as multi-phase problems (solid, water and air) and governed by the Navier-Stokes (N-S) equations. They are solved by the three-dimensional constrained interpolation profile (CIP) method. The interfaces between different phases are captured using density functions. In the computation, the 3-D CIP method is employed for the advection phase of the N-S equations and a pressure-based algorithm is applied
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Kotteda, V. M. Krushnarao, Ashesh Chattopadhyay, Vinod Kumar, and William Spotz. "Next-Generation Multiphase Flow Solver for Fluidized Bed Applications." In ASME 2017 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fedsm2017-69555.

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A framework is developed to integrate MFiX (Multiphase Flow with Interphase eXchanges) with advanced linear solvers in Trilinos. MFiX is a widely used open source general purpose multiphase solver developed by National Energy Technology Laboratories and written in Fortran. Trilinos is an objected-oriented open source software development platform from Sandia National Laboratories for solving large scale multiphysics problems. The framework handles the different data structures in Fortran and C++ and exchanges the information from MFiX to Trilinos and vice versa. The integrated solver, called M
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Jia, Yu, Zhiru Yu, and Qing Liu. "Bi-conjugate gradient FFT method for magnetodielectric objects in layered media." In 2015 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium). IEEE, 2015. http://dx.doi.org/10.1109/usnc-ursi.2015.7303404.

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Bihs, Hans, Weizhi Wang, Tobias Martin, and Arun Kamath. "REEF3D::FNPF: A Flexible Fully Nonlinear Potential Flow Solver." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-96524.

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Abstract In situations where the calculation of ocean wave propagation and impact on offshore structures is required, fast numerical solvers are desired in order to find relevant wave events in a first step. After the identification of the relevant events, Computational Fluid Dynamics (CFD) based Numerical Wave Tanks (NWT) with an interface capturing two-phase flow approach can be used to resolve the complex wave structure interaction, including breaking wave kinematics. CFD models emphasize detail of the hydrodynamic physics, which makes them not the ideal candidate for the event identificati
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Salem, Rami, Julien Marty, and Marc Errera. "Steady Conjugate Heat Transfer Method for High Temperature Gradient in Turbomachinery Applications." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-91578.

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Abstract The high-pressure (HP) turbine and compressor blades are subjected to severe aero-thermal loads either caused by high inlet temperature resulting from the combustion chamber or by the shock wave at the blade surface. In this paper, a partitioned conjugate heat transfer (CHT) approach is used to assess 3D cases with high temperature gradient. On one hand, the high temperature resulting from the combustion chamber generates high azimuthal and radial non uniformities on the nozzle guide vane (NGV), known as hot streak. Since the engine efficiency is directly related to the turbine inlet
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Grigoriev, M. M., and G. F. Dargush. "A Fast Multi-Level Boundary Element Method for the Steady Heat Diffusion Equation." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47450.

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A fast, accurate and efficient multi-level boundary element method is developed to solve general boundary value problems. Here we concentrate on problems of two-dimensional steady potential flow and present a fast direct boundary element formulation. This novel method extends the pioneering work of Brandt and Lubrecht on multi-level multi-integration (MLMI) in several important ways to address problems with mixed boundary conditions. We utilize bi-conjugate gradient methods (BCGM) and implement the MLMI approach for fast matrix and matrix transpose multiplication for every iteration loop. Furt
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El-Jummah, Abubakar M., Reyad A. A. Abdul Hussain, Gordon E. Andrews, and John E. J. Staggs. "Conjugate Heat Transfer CFD Predictions of Impingement Heat Transfer: Influence of the Number of Holes for a Constant Pitch-to-Diameter Ratio X/D." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-25268.

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Conjugate heat transfer CFD studies were undertaken on the influence of the number of impingement holes/unit surface area or hole density n (m−2) for n from 1076 to 26910m−2 at a constant X/D of 4.7, with n varied by varying the hole diameter D from 1.31 to 6.54mm and pitch X varied from 6.1mm to 30.5mm. Square array impingement cooling geometries for the jet holes were used with a 152.4 × 152.4mm experimental wall area. The impingement gap had a single sided exit which generated a cross-flow in the gap. The number of impingement holes N in the cross-flow direction was 5, 10, 15 and 25. A cool
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