Scholarlink

<p>Utilising a generic framework, this paper develops a new convergence analysis of various approximation methods for fourth-order variational inequalities (obstacle problems). For the convergence proof, an unrestricted approach is adopted to avoid non-physical conditions on continuous solutions. This analysis presents the first study to investigate a unified framework for both conforming and non-conforming schemes for the studied problem. It also enables us to apply a polytopal scheme for the fourth-order VIs and produce numerical results that highlight the scheme’s accuracy.</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

A generic discretisation of fourth-order obstacle problems

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年7月9日

查看全文
  • Yahya Alnashri

摘要

Utilising a generic framework, this paper develops a new convergence analysis of various approximation methods for fourth-order variational inequalities (obstacle problems). For the convergence proof, an unrestricted approach is adopted to avoid non-physical conditions on continuous solutions. This analysis presents the first study to investigate a unified framework for both conforming and non-conforming schemes for the studied problem. It also enables us to apply a polytopal scheme for the fourth-order VIs and produce numerical results that highlight the scheme’s accuracy.