mixed finite elements

Theory and Implementation of Novel Numerical Methods for Multiphysics Interface Problems

Najwa Alshehri, Ph.D. Student, Applied Mathematics and Computational Sciences

Jul 8, 15:00 - 17:00

B2/B3 L0 R0215

finite element method numerical analysis fluid-structure interactions mixed finite elements

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.

Najwa Alshehri

Ph.D. Student, Applied Mathematics and Computational Sciences

Finite element methods numerical analysis fluid-structure interactions mixed finite elements

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.

Daniele Boffi

Associate Dean for Faculty, Computer, Electrical and Mathematical Sciences and Engineering

mixed finite elements fluid dynamics eigenvalue approximation numerical PDEs Finite elements

Professor Boffi is a leading international expert in mixed finite elements and the approximation of eigenvalue problems arising from partial differential equations.