finite element method

Amal Alghamdi

Founder, Impact Alpha, Saudi Arabia

HPC Python (Programming Language) data analysis finite element method uncertainty quantification

Theory and Implementation of Novel Numerical Methods for Multiphysics Interface Problems

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

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.