SimTech Colloquium: Domain decomposition methods for multiphysics problems (Ivan Yotov)

July 10, 2024, 4:00 p.m. (CEST)

Time: July 10, 2024, 4:00 p.m. (CEST)
Venue: Hörsaal V7.01
Pfaffenwaldring 7
70569  Stuttgart
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We will discuss a general domain decomposition methodology for solving multiphysics problems. The simulation domain is partitioned into a union of non-overlapping subdomains. Each subdomain may model a different physical problem and is locally discretized by a suitable numerical method. Continuity conditions on the interfaces are imposed through Lagrange multipliers. The approach is suitable for multiscale discretizations and parallel computations. Iterative solvers can be designed for the efficient solution of the global algebraic system, which involve solving decoupled subdomain problems. We will present examples of the framework applied to coupling of free fluid and porous media flows and fluid-poroelastic structure interaction. 

Ivan Yotov is currently a Professor in the Department of Mathematics at the University of Pittsburgh. He received his MS degree in Computational and Applied Mathematics at Rice University and then continued on to receive his PhD in Computational and Applied Mathematics also at Rice University. Prof. Yotov’s research interests include: 1.) numerical analysis; 2.) numerical solution of partial differential equations; 3.) large scale scientific computing; 4.) parallel processing; 5.) computational fluid dynamics; 6.) porous media; and 7.) biomedical modeling. Yotov is Editor-in-Chief, Computational Geosciences. He is also a member of several professional organization and scientific societies, including the Society of Industrial and Applied Mathematics, the American Mathematical Society, the Society of Petroleum Engineers, the Interpore (International Society for Porous Media), and the United States Association for Computational Mechanics.

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