In this paper, an adaptivegrid method is put forward to solve a singularly perturbed convection-diffusion problem with a discontinuous convection coefficient. First, this problem is discretized by using an upwind fin...
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In this paper, an adaptivegrid method is put forward to solve a singularly perturbed convection-diffusion problem with a discontinuous convection coefficient. First, this problem is discretized by using an upwind finite difference scheme on an arbitrary nonuniform grid except the fixed jump point. Then, a first-order maximum norm a posterior error estimate is derived. Further, based on this a posteriori error estimation and the mesh equidistribution principle, an adaptivegrid generation algorithm is constructed. Finally, some numerical experiments are presented that support our theoretical estimate.
In this paper, a two -parameter singularly perturbed problem with discontinuous source and convection coefficient is studied. This problem is discretized by using a first -order upwind finite difference scheme for whi...
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In this paper, a two -parameter singularly perturbed problem with discontinuous source and convection coefficient is studied. This problem is discretized by using a first -order upwind finite difference scheme for which a posteriori error analysis in the maximum norm is derived. Then, based on this a posteriori error estimation, a grid iteration algorithm is designed to generate an adaptive nonuniform mesh. Finally, Numerical experiments are proposed to confirm that our proposed method is first -order uniformly convergent.
In this paper, a nonlinear singularly perturbed problem with an integral boundary condition is studied. A hybrid finite difference method based on the midpoint difference scheme and the upwind difference scheme is con...
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In this paper, a nonlinear singularly perturbed problem with an integral boundary condition is studied. A hybrid finite difference method based on the midpoint difference scheme and the upwind difference scheme is constructed. An adaptivegrid generation algorithm is generated by equidistributing a monitor function. The convergence analysis of the hybrid difference method on the adaptivegrid is derived. It is proved by theory and experiments that the scheme is second-order uniformly convergent, which improves previous results. (C) 2020 Elsevier B.V. All rights reserved.
The trajectory of a shipbome radar target has a certain complexity, randomness, and diversity. Tracking a strong maneuvering target timely, accurately, and effectively is a key technology for a shipbome radar tracking...
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The trajectory of a shipbome radar target has a certain complexity, randomness, and diversity. Tracking a strong maneuvering target timely, accurately, and effectively is a key technology for a shipbome radar tracking system. Combining a variable structure interacting multiple model with an adaptive grid algorithm, we present a variable structure adaptivegrid inter- acting multiple model maneuvering target tracking method. Tracking experiments are performed using the proposed method for five maneuvering targets, including a uniform motion - uniform acceleration motion target, a uniform acceleration motion - uni- form motion target, a serpentine locomotion target, and two variable acceleration motion targets. Experimental results show that the target position, velocity, and acceleration tracking errors for the five typical target trajectories are small. The method has high tracking precision, good stability, and flexible adaptability.
This paper describes a procedure for accurately modelling the evolution of a short duration high intensity acoustic impulse propagating over a large distance. An algorithm is described which achieves this objective by...
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This paper describes a procedure for accurately modelling the evolution of a short duration high intensity acoustic impulse propagating over a large distance. An algorithm is described which achieves this objective by using a number of moving and non-overlapping grids. Copyright (C) 1996 Elsevier Science Ltd
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