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T3 finite element is defined over AABC (in physical coordinates). The vertices of this triangle hav the follow...
Problem 3. (15 points) T3 finite element is defined over AABC (in physical coordinates). The vertices of this triangle have the following coordinates: A(-3, -5), B(2,-1), and C(-6, 4) f(x, y)dS ДАВС where f(x, y) 3 2х?-5у? + 3ху+x — у. Bonus problem (5 extra points) a) Solve Problem 3 using 3 point integration rule. b) Which rule (1 point or 3 point) gives more accurate result? c) What is the integration error, if 3 point rule is used? Problem...
T3 finite element is defined over AABC (in physical coordiinates). The vertices of this triangle have the following coordinates: A(-3, -5), B(2,-1), and C(-6, 4). f(x,y)ds SABC where f(x, y) 2x2-5y2 3xyx-y Solve Problem 3 using 3 point integration rule. T3 finite element is defined over AABC (in physical coordiinates). The vertices of this triangle have the following coordinates: A(-3, -5), B(2,-1), and C(-6, 4). f(x,y)ds SABC where f(x, y) 2x2-5y2 3xyx-y Solve Problem 3 using 3 point integration rule.
O CWOIK 2. Submission deadline: 11:59pm on Friday June 7, 2019 Penalty for late submission: 20% per day T3 finite element is defined over AABC (in physical coordinates). The vertices of this triangle have the following coordinates: A(-2, -1), B(3,2), and C(0, 6). Problem 1 Calculate the partial derivatives of T3 basis functions with respect to the physical coordinates x and y. Problem 2. a) Using 1 point and 3 point integration rules, compute f(x, y)ds AABC where f(x,y) =2x2-3xy...
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 Function f(x, y) 2x2-3x +5y - y2 is going to be represented by T3 basis functions...