Scholarlink

<p>This study investigates a finite difference numerical scheme to analyze the impact of the effects caused by the strong coupling of Fourier’s law on the solutions of the equations of motion of a mixture of two one-dimensional linear isotropic elastic materials with frictional damping. We first prove the existence of solutions and exponential stability. In the sequence, we analyze the semi-discrete problem in finite differences and we use the energy method to prove the exponential stabilization of the corresponding semi-discrete system. The positivity of the numerical energy is also proved, and we present a fully discrete finite difference scheme that combines explicit and implicit integration methods. Finally, numerical simulations are given to confirm the theoretical results and show the efficiency of the proposed scheme.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Exponential decay and numerical treatment for mixture problem with Fourier law and frictional damping

  • 期刊论文

  • 发表日期：

    2025年8月5日

查看全文
  • Mauro L. Santos,
  • Anderson J. A. Ramos,
  • Anderson D. S. Campelo

摘要

This study investigates a finite difference numerical scheme to analyze the impact of the effects caused by the strong coupling of Fourier’s law on the solutions of the equations of motion of a mixture of two one-dimensional linear isotropic elastic materials with frictional damping. We first prove the existence of solutions and exponential stability. In the sequence, we analyze the semi-discrete problem in finite differences and we use the energy method to prove the exponential stabilization of the corresponding semi-discrete system. The positivity of the numerical energy is also proved, and we present a fully discrete finite difference scheme that combines explicit and implicit integration methods. Finally, numerical simulations are given to confirm the theoretical results and show the efficiency of the proposed scheme.