,can you tell that these partial differential equations which you have shared (and which I also learned in my Elasticity class) are the ones which are numerically solved in ANSYS? I have heard many times by you that the ANSYS solves partial differential equations, and some integrals must also be done by the solver numerically. I could never actually grasp that what kind of partial differential equations are solved in ANSYS and what integrals are done, and are they done in both linear and non-linear analysis? Numerical approximation is done to solve these partial differential equations and integrals?
And if yes, where exactly are they solved? To compute the stiffness matrix or somewhere else?