finite element method

Finite Element Approximation of Fluid-Structure Interaction Problems

Fabio Credali, Postdoctoral Research Fellow, Applied Mathematics and Computational Science

Oct 1, 12:00 - 13:00

B9 R2325

finite element method approximation fluid dynamics Computer simulations

We review the main strategies for the finite element approximation of fluid-structure interaction problems and then focus on one of them, the fictitious domain method, analyzing its formulation and convergence properties.

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.