Scholarlink

<p>This paper presents a mixed finite element framework utilizing a saddle-point formulation to address parabolic biharmonic integro-differential problems of the Kirchhoff type with simply supported boundary conditions. The paper demonstrates the well-posedness of the scheme and offers stability and error estimates for both semi-discrete and fully discrete finite element schemes. Additionally, a rectangle quadrature rule is employed to approximate the memory integral term. Numerical experiments are conducted to validate the theoretical estimates and to showcase the scheme’s effectiveness in non-convex domains.</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

An efficient mixed FEM for time-dependent Kirchhoff type integro-differential equations

  • 期刊论文

  • 发表日期：

    2026年2月3日

查看全文
  • Damini Gupta,
  • Avijit Das,
  • Mausumi Sen

摘要

This paper presents a mixed finite element framework utilizing a saddle-point formulation to address parabolic biharmonic integro-differential problems of the Kirchhoff type with simply supported boundary conditions. The paper demonstrates the well-posedness of the scheme and offers stability and error estimates for both semi-discrete and fully discrete finite element schemes. Additionally, a rectangle quadrature rule is employed to approximate the memory integral term. Numerical experiments are conducted to validate the theoretical estimates and to showcase the scheme’s effectiveness in non-convex domains.