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Syllabus:

Partial Differential Equations with FEM, 7.5 Credits

The course is discontinued

Swedish name: Partiella differentialekvationer med FEM

This syllabus is valid: 2012-01-23 and until further notice

Course code: 5MA032

Credit points: 7.5

Education level: Second cycle

Main Field of Study and progress level: Mathematics: Second cycle, has only first-cycle course/s as entry requirements
Computational Science and Engineering: Second cycle, has only first-cycle course/s as entry requirements

Grading scale: Three-grade scale

Responsible department: Department of Mathematics and Mathematical Statistics

Contents

We extend the method of finite elements to systems of partial differential equations and to non linear problems in two and three space dimensions. We introduce the most central types of finite elements, as an example higher order polynomials on tetrahedrons, hexahedrons and non parametric elements. Two important equations from physics are included, the Navier-Stokes equations for incompressible flow, elasticity, reaction diffusion equations and examples with Blach-Scholes equations. The course contains assignments both theoretical and computer based calculations.

Required Knowledge

Univ: Courses in Mathematics including Linear Algebra and Multivariable Calculus. Proficiency in English equivalent to Swedish upper secondary course English A (IELTS (Academic) with a minimum overall score of 5.5 and no individual score below 5.0. TOEFL PBT (Paper-based Test) with a minimum total score of 530 and a minimum TWE score of 4. TOEFL iBT (Internet-based Test) with a minimum total score of 72 and a minimum score of 17 on the Writing Section). Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.

Literature

Valid from: 2014 week 4

The finite element method : theory, implementation, and practice
Larson Mats G., Bengzon Fredrik
New York : Springer : 2012 : 385 p. :
ISBN: 9783642332869 (hard cover : alk. paper)
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