Hello all,
Could you help to guide on this problem for solving the Laplace equation with galerkin method,I am not sure how to proceed with this application in two dimension.
Thanks in advance
Consider the Laplace equation
V²u = 0, 0<x< 1, u(0,y)=u(1,y)=0, 0<y<∞ for y>0 u(x,0) = x(1-x), u(x,00) = 0, 0≤x≤1
Where the assumption is an approximation of the form, u(x, y)=c,
x(1-x).
Create a differential equation for c, by the Galerkin method along the x direction, and then solve it.
Could you help to guide on this problem for solving the Laplace equation with galerkin method,I am not sure how to proceed with this application in two dimension.
Thanks in advance
Consider the Laplace equation
V²u = 0, 0<x< 1, u(0,y)=u(1,y)=0, 0<y<∞ for y>0 u(x,0) = x(1-x), u(x,00) = 0, 0≤x≤1
Where the assumption is an approximation of the form, u(x, y)=c,
x(1-x). Create a differential equation for c,
by the Galerkin method along the x direction, and then solve it.