Develop a two-dimensional finite element program using the fully implicit time approximation scheme and bilinear rectangular elements, and using input data given for chapter13.

1.Develop a two-dimensional finite element program using the fully implicit time approximation scheme and bilinear rectangular elements, and using input data given for chapter13. The computer program should incorporate the following features:

(a) construct the element capacitance and matrix cðeÞ  , the element characteristic matrix kðeÞ  , and element force vector f ðeÞ  based on the bilinear rectangular element;

(b) assemble the global system of equations and

(c) solve the global system using the Gauss elimination solver with refined grid size distributions as 4  4, 6  6, and 8  8 using this code. Present the temperature distribution along with the percent relative error for the vertical center line with refined grid size distributions at different time steps.

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The purpose of this assignment is to help you break down the final Individual Portfolio Project into smaller tasks and to obtain instructor feedback for each step.

The purpose of this assignment is to help you break down the final Individual Portfolio Project into smaller tasks and to obtain instructor feedback for each step. Please use the….