Scholarlink

<p>We investigate a convective Brinkman–Forchheimer problem coupled with a heat equation. The investigated model considers thermal diffusion and viscosity depending on the temperature. We prove the existence of a solution without restriction on the data and uniqueness when the solution is slightly smoother and the data is suitably restricted. We also propose a finite element discretization scheme for the considered model and derive convergence results and a priori error estimates. Finally, we illustrate the theory with numerical examples.</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

Finite Element Approximation for A Convective Brinkman–Forchheimer Problem Coupled with A Heat Equation

  • 期刊论文

  • 发表日期：

    2025年5月24日

查看全文
  • Gilberto Campaña,
  • Pablo Muñoz,
  • Enrique Otárola

摘要

We investigate a convective Brinkman–Forchheimer problem coupled with a heat equation. The investigated model considers thermal diffusion and viscosity depending on the temperature. We prove the existence of a solution without restriction on the data and uniqueness when the solution is slightly smoother and the data is suitably restricted. We also propose a finite element discretization scheme for the considered model and derive convergence results and a priori error estimates. Finally, we illustrate the theory with numerical examples.