一种基于监测和估计函数的网格自适应算法

IF 1.1 Q2 MATHEMATICS, APPLIED

Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI:10.3934/naco.2021029

Prabhat Mishra, Vikas Gupta, R. Dubey

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引用次数: 0

摘要

本文提出了一种新的网格自适应技术来逼近偏微分方程的不连续或边界层解。我们引入了新的估计器和监测函数来检测包含不连续和层状区域的解域。然后，利用这些信息，结合等分布原理对网格进行局部调整。给出了许多标量问题的数值测试。这些结果清楚地证明了该方法的鲁棒性和计算解的非振荡性质。

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A mesh adaptation algorithm using new monitor and estimator function for discontinuous and layered solution

In this work a novel mesh adaptation technique is proposed to approximate discontinuous or boundary layer solution of partial differential equations. We introduce new estimator and monitor function to detect solution region containing discontinuity and layered region. Subsequently, this information is utilized along with equi-distribution principle to adapt the mesh locally. Numerical tests for numerous scalar problems are presented. These results clearly demonstrate the robustness of this method and non-oscillatory nature of the computed solutions.

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来源期刊

Numerical Algebra Control and Optimization MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

期刊介绍： Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.