About Najwa Alshehri Najwa Alshehri Ph.D. Student, Applied Mathematics and Computational Science 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. Events Presented Events Jul 6 - Jul 12, 2025 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.
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.
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