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About GE263 Lecture Notes
The document provides an introduction to the spectral element method (SEM) through lecture notes on computational geophysics. The SEM combines the accuracy of spectral methods with the geometric flexibility of finite element methods. It is described how the SEM is constructed for 1D and 2D problems by using a Galerkin approximation over a finite space of piecewise polynomial basis functions and evaluating integrals numerically with Gaussian quadrature. The SEM achieves high accuracy through the use of high-order polynomials and optimal choices for the basis functions and quadrature rule.
Detailed Information
Author: | ['Fares'] |
---|---|
Publication Year: | 2015 |
Pages: | 42 |
Language: | English |
Format: | |
Price: | FREE |
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