Author
Jun Zhang
Other affiliations: Southwest Petroleum University, University of Minnesota, George Washington University ...read more
Bio: Jun Zhang is an academic researcher from University of Kentucky. The author has contributed to research in topics: Multigrid method & Preconditioner. The author has an hindex of 37, co-authored 188 publications receiving 4031 citations. Previous affiliations of Jun Zhang include Southwest Petroleum University & University of Minnesota.
Papers published on a yearly basis
Papers
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TL;DR: A high order alternating direction implicit (ADI) solution method for solving unsteady convection-diffusion problems and it is shown through a discrete Fourier analysis that the method is unconditionally stable for 2D problems.
193 citations
TL;DR: Experimental results show that the ILU preconditionser reduces the number of BiCG iterations substantially, compared to the block diagonal preconditioner, and maintains the computational complexity of the MLFMA, and consequently reduces the total CPU time.
150 citations
TL;DR: This study shows that a good quality SAI preconditioner can be constructed by using the near part matrix numerically generated in the MLFMA and can reduce the number of Krylov iterations substantially.
Abstract: In computational electromagnetics, the multilevel fast multipole algorithm (MLFMA) is used to reduce the computational complexity of the matrix vector product operations. In iteratively solving the dense linear systems arising from discretized hybrid integral equations, the sparse approximate inverse (SAI) preconditioning technique is employed to accelerate the convergence rate of the Krylov iterations. We show that a good quality SAI preconditioner can be constructed by using the near part matrix numerically generated in the MLFMA. The main purpose of this study is to show that this class of the SAI preconditioners are effective with the MLFMA and can reduce the number of Krylov iterations substantially. Our experimental results indicate that the SAI preconditioned MLFMA maintains the computational complexity of the MLFMA, but converges a lot faster, thus effectively reduces the overall simulation time.
134 citations
TL;DR: A compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions and is compared with the five-point formula to show the dramatic improvement in computed accuracy.
122 citations
TL;DR: A mathematical model describing the thermomechanical interactions in biological bodies at high temperature is proposed by treating the soft tissue in Biological bodies as a thermoporoelastic media and the proposed numerical techniques are efficient.
103 citations
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Journal Article•
9,185 citations
TL;DR: It is concluded that multiple Imputation for Nonresponse in Surveys should be considered as a legitimate method for answering the question of why people do not respond to survey questions.
Abstract: 25. Multiple Imputation for Nonresponse in Surveys. By D. B. Rubin. ISBN 0 471 08705 X. Wiley, Chichester, 1987. 258 pp. £30.25.
3,216 citations
01 Jan 2016
TL;DR: The numerical heat transfer and fluid flow is universally compatible with any devices to read and is available in the authors' digital library an online access to it is set as public so you can get it instantly.
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1,531 citations
TL;DR: This article surveys preconditioning techniques for the iterative solution of large linear systems, with a focus on algebraic methods suitable for general sparse matrices, including progress in incomplete factorization methods, sparse approximate inverses, reorderings, parallelization issues, and block and multilevel extensions.
1,219 citations