Engineering Sciences 205 - Computational Methods for Partial Differential Equations II

Institution:

Dartmouth College

Subject:

Description:

09S: 11 Offered in alternate years Boundary Element and spectral methods are examined within the numerical analysis framework established in Engineering Sciences 105. The boundary element method is introduced in the context of linear elliptic problems arising in heat and mass transfer, solid mechanics, and electricity and magnetism. Coupling with domain integral methods (e.g. finite elements) is achieved through the natural boundary conditions. Extensions to nonlinear and time-dependent problems are explored. Spectral methods are introduced and their distinctive properties explored in the context of orthogonal bases for linear, time-invariant problems. Extension to nonlinear problems is discussed in the context of fluid mechanics applications. Harmonic decomposition of the time-domain is examined for nonlinear Helmhotz-type problems associated with E&M and physical oceanography. Prerequisite: Engineering Sciences 105. Paulsen.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.dartmouth.edu

Phone Number:

(603) 646-1110

Regional Accreditation:

New England Association of Schools and Colleges

Calendar System:

Quarter

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