### Convergence Criteria

In order to achieve a monotonically convergent solution, the chosen displacement functions must satisfy the following criteria known as the

**Convergence Criteria.****Continuity requirement**The displacement functions should be continuous within an element.The displacement field must represent the rigid body displacement of the element.The displacement field must represent constant strain states of the element.*:***Compatibility requirement**: The displacements must be compatible between adjacent elements.The displacement functions must have the same number of generalized coordinates equal to the degrees of freedom of the element.**Geometric Invariance (Spatial Isotropy)**: The displacement functions should be independent of the local coordinate system.The elements which satisfy the continuity and compatibility criteria are called**or***Compatible**element. Otherwise, they are called as***Conforming***. The elements which satisfy the 2nd and 3rd criteria are known as***Non-Conforming***. Explanation:Continu…***Complete**
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