Speaker: Prof. Dr. Bernd Simeon
Technical University Kaiserslautern
Title: Solving Transient Saddle-Point Problems in Computational Mechanics
Systems of partial differential equations with constraints and Lagrange multipliers arise in various application fields. Examples of such saddle point formulations can be found in incompressible fluid flows, biological tissue models, contact mechanics, and in two-field problems with separate interface variables. This talk is aimed at introducing a general framework for the problem class, with particular emphasis on the connection with differential-algebraic equations and efficient and robust time integrators. Two examples will provide specific insight into some of the key aspects. The first example is a model for skeletal muscle tissue, which is discretized in space by Taylor-Hood finite elements and whose index varies, depending on certain physical parameters, between one and three. The second example, a fluid dynamics simulation with stabilized equal-order finite elements, addresses the issue of adaptivity in space and time.