Difference of Lagrangian and Eulerian methods

In the Lagrangian analysis method, the nodes are fixe

d in place relative to the material, and the elements undergo deformation as the material deforms. Lagrangian elements are always composed of one hundred percent of the same material; therefore, with boundary conditions, the material is limited to the range of the element.

In the Eulerian analysis method, the nodes are fixed in place while the material moves or changes shape around them. Eulerian elements may not be composed of one hundred percent of a single substance; instead, they may consist of several substances or empty space.