The Experts below are selected from a list of 200241 Experts worldwide ranked by ideXlab platform
Dan Jiao - One of the best experts on this subject based on the ideXlab platform.
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Explicit time domain finite element Method stabilized for an arbitrarily large time step
IEEE Transactions on Antennas and Propagation, 2012Co-Authors: Houle Gan, Dan JiaoAbstract:The root cause of the instability is quantitatively identified for the Explicit time-domain finite-element Method that employs a time step beyond that allowed by the stability criterion. With the identification of the root cause, an unconditionally stable Explicit time-domain finite-element Method is successfully created, which is stable and accurate for a time step solely determined by accuracy regardless of how large the time step is. The proposed Method retains the strength of an Explicit time-domain Method in avoiding solving a matrix equation while eliminating its shortcoming in time step. Numerical experiments have demonstrated its superior performance in computational efficiency, as well as stability, compared with the conditionally stable Explicit Method and the unconditionally stable implicit Method. The essential idea of the proposed Method for making an Explicit Method stable for an arbitrarily large time step irrespective of space step is also applicable to other time domain Methods.
Jin Ho Lee - One of the best experts on this subject based on the ideXlab platform.
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an improved Explicit time integration Method for linear and nonlinear structural dynamics
Computers & Structures, 2018Co-Authors: Wooram Kim, Jin Ho LeeAbstract:Abstract In this article, a new Explicit time integration Method is developed to analyze linear and nonlinear problems of structural dynamics. Like recently developed Explicit time integration Methods, the new Explicit Method can also control the amount of numerical dissipation in the high frequency range. The Method is Explicit in the presence of the damping matrix, if the mass matrix is diagonal. Due to the unconventional approximations of the displacement vector, the new Method does not require evaluation of the initial acceleration vector and other acceleration vectors. Linear and nonlinear problems of structural dynamics can be tackled in a consistent manner, and iterative solution finding procedures are not required. Various illustrative problems are used to investigate improved performance of the new Explicit Method.
Miloslav Feistauer - One of the best experts on this subject based on the ideXlab platform.
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a semi implicit discontinuous galerkin finite element Method for the numerical solution of inviscid compressible flow
Journal of Computational Physics, 2004Co-Authors: Vít Dolejší, Miloslav FeistauerAbstract:The paper is concerned with the numerical solution of an inviscid compressible flow with the aid of the discontinuous Galerkin finite element Method. Since the Explicit time discretization requires a high restriction of the time step, we propose semi-implicit numerical schemes based on the homogeneity of inviscid fluxes, allowing a simple linearization of the Euler equations which leads to a linear algebraic system on each time level. Numerical experiments performed for the Ringleb flow problem verify a higher order of accuracy of the presented Method and demonstrate lower CPU-time costs in comparison with an Explicit Method. Then the Method is tested on more complex unsteady Euler flows.
Houle Gan - One of the best experts on this subject based on the ideXlab platform.
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Explicit time domain finite element Method stabilized for an arbitrarily large time step
IEEE Transactions on Antennas and Propagation, 2012Co-Authors: Houle Gan, Dan JiaoAbstract:The root cause of the instability is quantitatively identified for the Explicit time-domain finite-element Method that employs a time step beyond that allowed by the stability criterion. With the identification of the root cause, an unconditionally stable Explicit time-domain finite-element Method is successfully created, which is stable and accurate for a time step solely determined by accuracy regardless of how large the time step is. The proposed Method retains the strength of an Explicit time-domain Method in avoiding solving a matrix equation while eliminating its shortcoming in time step. Numerical experiments have demonstrated its superior performance in computational efficiency, as well as stability, compared with the conditionally stable Explicit Method and the unconditionally stable implicit Method. The essential idea of the proposed Method for making an Explicit Method stable for an arbitrarily large time step irrespective of space step is also applicable to other time domain Methods.
Gregory M Hulbert - One of the best experts on this subject based on the ideXlab platform.
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a family of single step houbolt time integration algorithms for structural dynamics
Computer Methods in Applied Mechanics and Engineering, 1994Co-Authors: Jintai Chung, Gregory M HulbertAbstract:A new family of implicit, single-step time integration Methods is presented for solving structural dynamics problems. The proposed Method is unconditionally stable, second-order accurate and asymptotically annihilating. It is spectrally equivalent to Houbolt's Method but is cast in single-step form rather than multi-step form; thus the new algorithm computationally is more convenient. An Explicit predictor-correcter algorithm is presented based upon the new implicit scheme. The Explicit algorithm is spectraily equivalent to the central difference Method. The two new algorithms are merged into an implicit-Explicit Method, resulting in an improved algorithm for solving structural dynamics problems composed of 'soft' and 'stiff' domains. Numerical results are presented demonstrating the improved performance of the new implicit-Explicit Method compared to previously developed implicit-Explicit schemes for structural dynamics.
