Non-standard Finite Elements for Eigenvalue Problems
Numerical approximation of partial differential equations involves parameter dependencies from problem formulation and numerical methods. We focus on two areas: least-squares finite element method with linear elasticity, studying its dependence on the Lamé parameter, and the Virtual Element Method, known for handling complex geometries where the stabilization parameter is analyzed.
Overview
Abstract
Numerical approximation of partial differential equations involves parameter dependencies from problem formulation and numerical methods. We focus on two areas: least-squares finite element method with linear elasticity, studying its dependence on the Lamé parameter, and the Virtual Element Method, known for handling complex geometries where the stabilization parameter is analyzed.
Brief Biography
Linda Alzaben is a Ph.D. candidate in the Applied Mathematics and Computational Science program under the supervision of Professor Daniele Boffi. Linda worked as a Lecturer at King Abdulaziz University in Jeddah for several years where she obtained her Master’s and Bachelor’s degrees. Her research interests are mainly focused on numerical approximation of PDEs utilizing finite element methods with least squares and virtual element methods.
