A handy technique for the Finite Element Method (FEM) is presented that uses the null space for the implementation of Dirichlet and constraint boundary conditions. The focus of this method is to present an illustrative approach to modeling boundary constraints within FEM simulations for teaching. It presents a consistent way of including the boundary terms in the forcing and constructing the field solution after solving the algebraic system of equations.
翻译:本文提出了一种便捷的有限元法技术,利用零空间来实现狄利克雷和约束边界条件的施加。该方法的核心在于提供一种直观的方式来模拟有限元模拟中的边界约束,适用于教学场景。它给出了一致的方法,用于在力向量中包含边界项,并在求解代数方程组后构建场解。