
Re: Another question about coordinate transformation
Posted:
Jan 14, 2013 12:14 AM


On 01/13/2013 09:38 PM, Tang Laoya wrote: > Dear all, > > In isoparameteric finite element of second order tetrahedron element, >the original coordinate (x,y,z) would be transformed to standard >coordinate (xi, eta, zeta) by shape function. As a result, for >any (xi_i, eta_i, zeta_i) in the element, the original >coordinate (x_i,y_i,z_i) can be calculated: > x_i=sum(N(i)*x(i), i=1,..,10) > y_i=sum(N(i)*y(i), i=1,..,10) > z_i=sum(N(i)*z(i), i=1,..,10) > > Now my question is: if I give a rotation to the original >element, the (x_i, y_i, z_i) is transformed to (x_ii, y_ii, z_ii), > which can be calculated from (xi_ii, eta_ii, zeta_ii), what's the >relationship between (xi_i, eta_i, zeta_i) and (xi_ii, eta_ii, zeta_ii)? >are they just the same? how to prove this relationship? > > > Thanks, > Tang Laoya > >
For Mathematica questions, better use this forum:
http://mathematica.stackexchange.com/

