Engineering Functional Analysis and Finite Elements (CME 356)

3 credits · Graduate

Concepts in functional analysis to understand models and methods used in simulation and design. Topology, measure, and integration theory to introduce Sobolev spaces. Convergence analysis of finite elements for the generalized Poisson problem. Extensions to convection-diffusion-reaction equations and elasticity. Upwinding. Mixed methods and LBB conditions. Analysis of nonlinear and evolution problems. Recommended Prerequisites: ME 333, ME 35A,B, CME 200, CME 20, MATH 171.