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ATACM Assignment II

Question 1

Given the following steady state heat conduction problem

1.1 Derive variational statement

1.2 Construct a system of algebraic equations KU = F using domain mesh as shown in Figure 1.

1.3 Write PYTHON code for verification process of the solution.

Question 2

Given the unsteady state heat conduction problem

2.1 Derive its variational statement

2.2 Determine matrix A and vector F of the system using domain mesh as shown in Figure 1.

2.3 Write PYTHON code for verification process of the solution.

Question 3

Given the following BVP

on a 2 × 2 square with boundary condition and domain mesh as shown.

3.1 Derive variational statement

3.2 Construct a system of algebraic equations AU = F using domain mesh with 6 elements as shown in Figure 3.

3.3 Write PYTHON code for verification process of the solution.