Higher order approximation of interface and boundary conditions

界面和边界条件的高阶近似

• 批准号: RGPIN-2015-04610
• 负责人: Urquiza, JoséManuel
• 金额: $ 0.8万
• 依托单位: Université Laval
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=589904
• 关键词: Higher; order; approximation; interface; boundary

The finite element method is one of the most classical and popular method for the numerical approximation of solutions to partial differential equations, in particular those from continuum mechanics (fluid flows, deformable solids, porous media flows, … ). The physical domain (generally 3-dimensional) is meshed with small elements (tetrahedra or hexahedra) and approximations are searched as polynomials on each of these elements.

有限元法是求解偏微分方程，特别是连续介质力学（流体流动、可变形固体、多孔介质流动等）中最经典、最流行的数值逼近方法之一。物理域（通常是3维）由小元素（四面体或六面体）网格划分，并在每个元素上以多项式形式搜索近似。