Basis Functions, and the Matrix-Vector Weak Form - Lesson 3

The discussion continues from the previous lesson and the focus is on the time dependent term. The element mass matrix is derived which is a matrix that is not encountered before in previous lessons or courses. Remarks are made for the element mass matrix, and it is seen that this matrix is positive-definite. Lumped mass matrix and why it is called so is shown.

The discussion continues and instead of writing the lumped mass matrix the focus is on the consistent mass matrix assembly at global level. The term from which the consistent mass matrix was derived is discussed and used for writing the consistent mass matrix assembly.

 

Correction to Boardwork

Response to a Question

In this video the response is provided to following question:

Isn’t a ‘dot’ missing on d in the left – hand side term, that is, a time derivative?