An introductory exposition of the virtual element method (VEM) is provided. The intent is to make this method more accessible to those unfamiliar with VEM. Familiarity with the finite element method for solving 2D linear elasticity problems is assumed. Derivations relevant to successful implementation are covered. Some theory is covered, but the focus here is on implementation and results. Examples are given that illustrate the utility of the method. Numerical results are provided to help researchers implement and verify their own results.
翻译:本文对虚拟单元法(VEM)进行了入门性阐述,旨在帮助不熟悉该方法的读者更容易理解。假设读者已具备有限元法求解二维线弹性问题的知识基础。本文涵盖与成功实现相关的推导,虽涉及部分理论,但重点在于实现过程与计算结果。通过示例说明该方法的实用性,并提供数值结果以协助研究者实现并验证其自身计算结果。