Patrick Sanan: Catalogue data in Spring Semester 2021 |
| Name | Dr. Patrick Sanan |
| Department | Earth and Planetary Sciences |
| Relationship | Lecturer |
| Number | Title | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|
| 651-4144-00L | Introduction to Finite Element Modelling in Geosciences  | 2 credits | 3G | A. Rozel, P. Sanan | |
| Abstract | Introduction to programming the Finite Element Method (FEM) in 1D and 2D. | ||||
| Learning objective | Topics covered include thermal diffusion, elasticity, Stokes flow, isoparametric elements, and code verification using the method of manufactured solutions. The focus is on hands-on programming, and you will learn how to write FEM codes starting with an empty MATLAB script. | ||||
| Content | Course content includes brief derivation and implementation details for the Finite Element Method (FEM) for thermal diffusion, linear elasticity, and incompressible Stokes flow, using numerical quadrature and isoparametric elements. 1-dimensional examples are extended to 2 dimensions. Code verification is introduced, using the method of manufactured solutions. The focus is on hands-on programming; course exercises encourage development of a series of increasingly-complex codes, starting with an empty MATLAB script. A final project allows students flexibility to apply the method to an application of interest or to a standard problem. Note: proficient users of numerical Python are free to use that environment, instead of MATLAB. | ||||
| Lecture notes | The script will be made available online. | ||||
| Literature | There is no mandatory literature. Some recommended literature will be discussed and made available during the course. | ||||
| Prerequisites / Notice | Good knowledge of MATLAB (or self-sufficiency with numerical Python), linear algebra, and knowledge of programming the finite difference method. The following courses are recommended before attending this course: 651-4241-00L Numerical Modelling I and II: Theory and Applications 651-4007-00L Continuum Mechanics 651-4003-00L Numerical Modelling of Rock Deformation | ||||