fluid-structure interactions

Theory and Implementation of Novel Numerical Methods for Multiphysics Interface Problems

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B2/B3 L0 R0215

This thesis develops and analyzes Finite Element Methods (FEM) for multiphysics interface problems using the Fictitious Domain with Distributed Lagrange Multiplier (FD-DLM) framework. It introduces new families of stable mixed methods with discontinuous Lagrange multiplier spaces, studies both a priori and a posteriori error estimates, and designs multigrid preconditioners. Theoretical results are supported by numerical experiments.

Rolf Krause

Professor Rolf Krause is an experienced researcher and educator specializing in designing and analyzing algorithms to solve complex problems in scientific computing and machine learning.

Najwa Alshehri

Professional Interests Beyond academic and research pursuits, Najwa is deeply committed to mentoring and empowering female students to pursue careers in science and research. At KAUST, she engaged in initiatives that cultivate talent in mathematics, AI, and deep learning. Additionally, she placed significant emphasis on developing her leadership and entrepreneurial skills through specialized programs and certifications along with other trainings in Key Performance Indicators (KPI), Total Quality Management (TQM), and strategic planning.