UE M8-B - Scientific computing IV

Level of knowledge:

N1: beginner
N2: intermediate
N3: advanced
N4: expert


Knowledge expected at the end of the course


Introduction to Sobolev spaces: (C1, N2)


Variational form of an elliptic equation: (C1, N2)


How to apply the Lax-Milgram theorem in a simple case: (C1, N2)


Galekin's method (C1, C2, N2)


Finite element method: construction and implementation of the method (C1, C2, N2)


Finite element method: assembly techniques, calculation of elementary matrices (C1, C2, N2)


Finite element method : Lagrange and Hermite elements (Introduction) (C1, C2, N2)


Demonstrate the well-posedness of the approximated linear problem (C1, N2)


Know and use fluent language for scientific computing applications: (C3, N2)


Use fluent language in project implementation: (C3, C7, N2)


Data input and post-processing with the industrial code Abaqus : (C3, N2)



Learning outcomes in terms of abilities, skills and attitudes expected at the end of EU courses


Analyze an elliptic partial differential equation: put into variational form, apply Lax Milgram's theorem (C1, N2)


Master assembly techniques and calculate elementary matrices (C2, N2)


Use the industrial code Abaques to perform a linear static analysis (C3, N2)