The Experts below are selected from a list of 126474 Experts worldwide ranked by ideXlab platform
R.h. Brown - One of the best experts on this subject based on the ideXlab platform.
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Dynamic Linear Finite Element model for pressure prediction in a gas pipeline
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 1999Co-Authors: A. Taware, R.h. BrownAbstract:In this paper, a dynamic Linear Finite Element model to predict hourly pressures under operating conditions, especially peak day conditions, is proposed. The model consists of parameters like resistance to flow between the nodes, the pressure at the nodes and the capacity of the pipe segment at the node. The flow out of the pipeline system depends upon factors such as temperatures, wind and hour of the day. The values of all these parameters are determined using an intelligent trial-and-error optimization approach, the genetic algorithm (GA) in conjunction with gradient descent (GD). This method handles pipeline systems with minimal available information about pressures and flows.
Qingsong Zou - One of the best experts on this subject based on the ideXlab platform.
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A $C^0$ Linear Finite Element method for sixth order elliptic equations
arXiv: Numerical Analysis, 2018Co-Authors: Hailong Guo, Zhimin Zhang, Qingsong ZouAbstract:In this paper, we develop a straightforward $C^0$ Linear Finite Element method for sixth-order elliptic equations. The basic idea is to use gradient recovery techniques to generate higher-order numerical derivatives from a $C^0$ Linear Finite Element function. Both theoretical analysis and numerical experiments show that the proposed method has the optimal convergence rate under the energy norm. The method avoids complicated construction of conforming $C^2$ Finite Element basis or nonconforming penalty terms and has a low computational cost.
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A $$C^0$$ C 0 Linear Finite Element Method for Biharmonic Problems
Journal of Scientific Computing, 2017Co-Authors: Hailong Guo, Zhimin Zhang, Qingsong ZouAbstract:In this paper, a $$C^0$$ Linear Finite Element method for biharmonic equations is constructed and analyzed. In our construction, the popular post-processing gradient recovery operators are used to calculate approximately the second order partial derivatives of a $$C^0$$ Linear Finite Element function which do not exist in traditional meaning. The proposed scheme is straightforward and simple. More importantly, it is shown that the numerical solution of the proposed method converges to the exact one with optimal orders both under $$L^2$$ and discrete $$H^2$$ norms, while the recovered numerical gradient converges to the exact one with a superconvergence order. Some novel properties of gradient recovery operators are discovered in the analysis of our method. In several numerical experiments, our theoretical findings are verified and a comparison of the proposed method with the nonconforming Morley Element and $$C^0$$ interior penalty method is given.
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A Recovery Based Linear Finite Element Method For 1D Bi-Harmonic Problems
Journal of Scientific Computing, 2015Co-Authors: Hongtao Chen, Zhimin Zhang, Qingsong ZouAbstract:We analyze a gradient recovery based Linear Finite Element method to solve bi-harmonic equations and the corresponding eigenvalue problems. Our method uses only $$C^0$$C0 Element, which avoids complicated construction of $$C^1$$C1 Elements and nonconforming Elements. Optimal error bounds under various Sobolev norms are established. Moreover, after a post-processing the recovered gradient is superconvergent to the exact one. Some numerical experiments are presented to validate our theoretical findings. As an application, the new method has been also used to solve 1-D fully nonLinear Monge---Ampere equation numerically.
A. Taware - One of the best experts on this subject based on the ideXlab platform.
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Dynamic Linear Finite Element model for pressure prediction in a gas pipeline
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 1999Co-Authors: A. Taware, R.h. BrownAbstract:In this paper, a dynamic Linear Finite Element model to predict hourly pressures under operating conditions, especially peak day conditions, is proposed. The model consists of parameters like resistance to flow between the nodes, the pressure at the nodes and the capacity of the pipe segment at the node. The flow out of the pipeline system depends upon factors such as temperatures, wind and hour of the day. The values of all these parameters are determined using an intelligent trial-and-error optimization approach, the genetic algorithm (GA) in conjunction with gradient descent (GD). This method handles pipeline systems with minimal available information about pressures and flows.
Mohammed Hjiaj - One of the best experts on this subject based on the ideXlab platform.
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Geometrically non-Linear Finite Element analysis of composite beams with partial interaction
2010Co-Authors: Jean-marc Battini, Mohammed HjiajAbstract:This article presents a new geometrically non-Linear Finite Element formulation for the analysis of two-layer composite plane beams with partial interaction. The Element is based on the corotational formulation where different Linear Elements can be automatically transformed to non-Linear ones. To avoid curvature locking that may occur for low order Element(s), a local Linear formulation based on the exact stiffness matrix is used. Finally, two numerical applications dealing with a simplysupported and a cantilever two-later beam are presented in order to assess the performance of the formulation.
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Geometrically non-Linear Finite Element analysis of two-layer composite beams with interlayer slip
2010Co-Authors: Jean-marc Battini, Quang-huy Nguyen, Mohammed HjiajAbstract:Geometrically non-Linear Finite Element analysis of two-layer composite beams with interlayer slip
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Non-Linear Finite Element analysis of composite beams with interlayer slips
Computers & Structures, 2009Co-Authors: Jean-marc Battini, Quang-huy Nguyen, Mohammed HjiajAbstract:This article presents a new non-Linear Finite Element formulation for the analysis of two-layer composite plane beams with interlayer slips. The Element is based on the corotational method. The main interest of this approach is that different Linear Elements can be automatically transformed to non-Linear ones. To avoid curvature locking that may occur for low order Element(s), a local Linear formulation based on the exact stiffness matrix is used. Five numerical applications are presented in order to assess the perfor- mance of the formulation.
Zouqingsong - One of the best experts on this subject based on the ideXlab platform.
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A Recovery Based Linear Finite Element Method For 1D Bi-Harmonic Problems
Journal of Scientific Computing, 2016Co-Authors: Chenhongtao, Zhangzhimin, ZouqingsongAbstract:We analyze a gradient recovery based Linear Finite Element method to solve bi-harmonic equations and the corresponding eigenvalue problems. Our method uses only $$C^0$$C0 Element, which avoids comp...
