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Research Group 2: Numerics of Partial Differential Equations

Secretariat
Kollegiengebäude Mathematik (20.30)
Room 3.012

Address
Visitor address:
Room 3.012
Mathematikgebäude (20.30)
Englerstraße 2
D-76131 Karlsruhe

Mail address:
Institut für Angewandte und
Numerische Mathematik 2
Karlsruher Institut für Technologie (KIT)
D-76049 Karlsruhe

Office hours:
Mon. - Thu.: 10:00-11:30

Tel.: +49 721 608 42680

Fax.: +49 721 608 46679

PDEs: From Modeling Equations to Scientific Simulation Code (Summer Semester 2019)



Wed/Thu, 2019 Apr 24/25, SR 1.067, 14:00-17:15.


The course covers the central aspects of mathematical modelling using PDEs, and the basics of the finite element method. Furthermore, we will introduce concepts, algorithms, and tools to turn discretized PDEs into scientific computer simulations.
• No deep knowledge in PDEs needed.
• No deep background in Numerics needed.
• No prior programming skills needed.
• No knowledge in Computer Architecture or Computer Science needed.

Topics:
• Partial Differential Equations
(Modeling, derivation of equations. Potential equation, variational form and weak form, existence of solutions)
• Finite Element Discretization
(Galerkin methods, deriving systems of equations, error bounds. Examples of finite elements, quadrature)
• Finite Difference Discretization
• Linearization of Non-Linear Problems
• Computational Sparse Linear Algebra
• Arithmetic Intensity & Roofline Model
• BLAS, LINPACK, LAPACK
• Direct and Iterative Linear Solvers
• Krylov Subspace Methods
• Preconditioning: block-Jacobi, ILU

Tools:
• Shell/Terminal Usage
• Access Server
• Deploy RSA keys
• Transfer Files
• Compile and link against Libraries
• Versioning System Usage (Git)
• Continuous Integration (CI) in GitLab
• Unit Testing for Software

If you can bring a Laptop – please do so!

Course instructors:
Prof. Willy Dörfler (IANM), Dr. Hartwig Anzt (IANM/SCC)
Target audience:
Young academics

Material

Material of the first part (24.04.2019)

Questionaire
Interested in further courses? Please write us using the following
Questionaire an send it to
Dr. Tanja Hagedorn, Englerstr. 2, D-76131 Karlsruhe,
tanja.hagedorn at kit.edu .