Question

Function f(x, y) 2x2-3x +5y - y2 is going to be represented by T3 basis functions over AABC. Calculate the values of the degrees of freedom Ci in the linear combination that represents f(x,y): f(x, y)- CiN(x, y) T3 finite element is defined over ΔABC (in physical coordinates). The vertices of this triangle have the following coordinates: A(-2,-1), B(3,2), and C(0, 6) Problem 1

Answer 1

Function ofven bd fann over gg to e e This represe ДАВС . ue have to caleudate degres of freedlorn Combination that ceprresent C4 ;n the line 3 Cb) 6) c Co finite elered荫delined over nec The. bazis ate jiven a Ca Pecting these basies in C4) cwe have j A-1-a-1) 8-(3,2) , c-(0,6) the Δ 诱 vertices 4 Nodo the , Forて, A (-2,-1); (5 For A Co,6): +36 -36 5G 6c3

ヒ, 29 = 330 19 = 330 29 1566 1320 246 - 246 435十1320-49a 1863 2q 2q 2d