麻省理工学院：《偏微分方程式数字方法》（英文版）Lecture 24 Outline Laplace Problems

Greens Function 3-D Laplace Problems Laplace's Equation Greens Function V2G(d)=4丌6(d) 6(0)≡ impulse in3D Defined by its behavior in an integral 6()f()d=f(0) Not too hard to show G() SMA+HPC⊙2003M Formulating Equations 5

Ansatz(Indirect) Single Layer Potential Formulations Consider () (a')dr |-l u(d) automatically satisfies Vu=0 on Q Must now enforce boundary conditions SMA+HPC⊙2003M Formulating Equations 6