ECE715 Syllabus

ECE715 Syllabus - 3. Introduction to Boundary Element...

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ECE 715: Introduction to Numerical Methods for Electromagnetics, 2010 Instructor: Prof. Jin-Fa Lee e-mail: Time: M, W, F. 1:30pm – 2:20pm, DL 0264 Text: None References: 1. G. F. Carey and J. T. Oden, Finite Elements: A Second Course, vol. II, Prentice-Hall Inc. 2. J. T. Oden and G. F. Carey, Finite Elements: Mathematical Aspects, vol. IV, Prentice-Hall Inc. 3. Class Notes and Selected Papers Topics: 1. Overview of Maxwell Equations 2. Introduction to Finite Element Methods (FEMs) – a. Solving two-dimensional Poisson and Helmholtz equations b. Triangular elements using Lagrange interpolation polynomial c. Assembling finite elements using universal matrices d. Preconditioned conjugate gradient (PCG) Method e. Vector finite element methods for solving two-dimensional electromagnetic wave problems f. 1 st kind H(curl) conforming Nedelec elements in 2D g. Full-wave analysis of dielectric waveguides, a generalized eigenmatrix equation
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Unformatted text preview: 3. Introduction to Boundary Element Methods (BEMs) a. Overview of BEMs for Solving Integral Equations b. Direct boundary element formulation for 1 st and 2 nd kind integral equations for Laplace equation c. Galerkin treatments of 1 st and 2 nd kind integral equations and Lagrange interpolation basis functions on triangles d. Direct and Krylov based methods for solving matrix equations e. Direct boundary element formulation for surface integral equations, EFIE and MFIE for solving EM scattering from PEC objects f. Galerkin treatments of EFIE and MFIEs and vector basis functions g. Internal resonances and CFIE Grading: The grading of this course is based on homeworks (35%), a mid-term (20%), group computer projects (25%) and a final computer project (20%). Each project team should consist of no-more than four persons. There will be three computer projects and one final project....
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