Question: (a) Determine the local Lagrange shape functions on the master triangle with vertices (0,0), (1,0), (0.1) for the piecewise linear elements. Determine the quadrature formula

(a) Determine the local Lagrange shape functions on the master triangle

(a) Determine the local Lagrange shape functions on the master triangle with vertices (0,0), (1,0), (0.1) for the piecewise linear elements. Determine the quadrature formula on the master triangle with vertices (0,0), (1,0), (0,1) using the integration nodes at (1/2,0), (0,1/2) and (1/2,1/2). For which polynomials is the derived formula exact? (a) Determine the local Lagrange shape functions on the master triangle with vertices (0,0), (1,0), (0.1) for the piecewise linear elements. Determine the quadrature formula on the master triangle with vertices (0,0), (1,0), (0,1) using the integration nodes at (1/2,0), (0,1/2) and (1/2,1/2). For which polynomials is the derived formula exact

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Part a Lagrange Shape Functions on the Master Triangle Given Triangle Vertices Let the triangle have vertices V1 00 V2 10 V3 01 We want to determine t... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Finance Questions!

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

Objective Section Sample Problem Find the standard 7.2 1. Find the standard equation of the circle and then graph it. equation of a circle Center (4, -2), radius 3 and graph it Complete the square in...

SHOW WORK ON ALL FREE RESPONSE. 1. Which of the following is NOT a property of a trapezoid? One pair of parallel sides Diagonals are congruent Length of the midsegment is one-half the sum of the...

*solve the attached4 questions. 15. Let /(x) =e-2' (a) Find any horizontal and vertical asymptotes of f(r). (b) Find the intervals where f(7) is increasing and the intervals where f (7) is...

(iii) Now express your decision rule instead using only the quantities p(Ck), p(Cj ), p(x|Ck), p(x|Cj ), and relate it to the diagram above. [2 marks] (iv) If the classifier decision rule assigns...

This is mathematics year three question, please help, thanks a lot Question 1 (34 marks) Consider the following constrained minimization model. minimize f(x) = 10:43? + 303:? + 31:; + 6:171:52 5:173...

1. (4 pointsDetermine the local Lagrange shape functions on the element (0,1) for the linear and quadratic elements. 2. (1+1+2 points) Consider the BVP -u" = 2 in (0,1), u(0) = u(1) = 0. (a) Find the...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Please answer the math question for me. Thanks! Question 1 of 10 This quiz: 10 point(s) possible This question: 1 point(s) possible Submit quiz Use the graph of the function f given below to answer...

Required returns stopping Ltd recently suspended its dividend payment. management anticipates that a dividend of $0.16 per share will be restored in five years and that the dividend will be increased...

Don received a cash gift of $65,000 from his wealthy eccentric uncle. Don wants to put that aside for his daughter Cynthia's college education. Cynthia will start college in 13 years and Don's...

analyze this from another gpt: let me explain clearly and precisely why the "9 years" answer is incorrect. Why Using "Net Income" Alone (9 Years) Is Wrong: The payback period cannot be calculated...

Draw a class diagram and its relationship based on the following statements. You can use any UML tool/software to represent your class diagram. Do NOT copy and paste your diagram, use the attachment...