Variational Inequalities with Applications in Porous Media

What it is about

You engage with variational inequalities (elliptic, first- and second-order) and their applications in porous media. In the end you will know existence, uniqueness and a priori estimates, master solution methods and be able to apply the procedures in associated software.

What you will be able to do

• Understand the basic principles of variational inequalities
• Comprehend existence, uniqueness and a priori estimates
• Apply solution methods: penalty methods, Active-Set, Lagrange multipliers
• Analyze applications in porous media and related problems
• Practically implement what you learned in software

What the module consists of

• VorlesungTransmission of the theoretical foundations, proofs and demonstrative examples
• Übung / Practice SessionsDeepening through exercise sheets, solutions and discussion for self-check
• ProgrammierungstutorialsPractical implementation and application of the methods in software

Teaching method

• Vortrag (Lectures)Presentation of the content with examples and discussion to motivate own analyses
• ÜbungsbetriebOffer of exercises and solutions for deepening and self-assessment
• Programmier-TutorialsApplication of the learned techniques in appropriate software