TAM 574

Spring 2021 All Classes

All Classes

Adv Finite Element Methods

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Credit: 4 hours.

Advanced theory and applications of the finite-element method, as needed for research in computational science and engineering: applications to mechanics of solids and fluids, thermal problems, etc.; variational foundations of the finite-element method, error estimates, and adaptive analysis; finite-element methods for parabolic and hyperbolic problems; mixed finite-element methods; applications to systems of equations.

Same as CSE 517. Prerequisite: One of TAM 470, CEE 570, CS 555, ME 471.

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TAM 574 class schedule data for spring 2021
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	38770	Online Lecture	A	1:00PM -2:50PM	MW	n.a.	Admal, N	Part of Term: 1 Date Range: 01/25/21-05/05/21 Section Info: Prerequisites: One of TAM 470, ME 471, AAE 420, CEE 570, or CS 455 or equivalent Objectives: This course is intended to serve as a sequel to an introductory finite element course, such as AAE 420, CEE 570, or ME 471 or a survey numerical methods course such as TAM 470. It is designed to deepen the students understanding of the mathematical background of the finite element method and to introduce topics that are typically not covered in a first course. Among the topics to be covered are: an introduction to functional analysis and other mathematical theory that supports the finite element method, FEM for elliptic and parabolic equations, error estimates, adaptive analysis, C1 finite elements, nonconforming finite finite elements, and mixed finite element methods for the Poisson and the Stokes equations. Applications to problems of current interest in mechanics and other sciences will be developed. We will also look at computational examples using the FEniCS finite element software environment.