Introduction to the finite element method in electromagnetics
By: Polycarpou, Anastasis C.
Material type:
BookSeries: Synthesis lectures on computational electromagnetics: #4.Publisher: San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, c2006Edition: 1st ed.Description: 1 electronic text (x, 115 p. : ill. (some col.)) : digital file.ISBN: 1598290479 (electronic bk.); 9781598290479 (electronic bk.); 1598290460 (pbk.); 9781598290462 (pbk.).Uniform titles: Synthesis digital library of engineering and computer science. Subject(s): Boundary value problems -- Numerical solutions | Electromagnetism -- Mathematics | Finite element method | Galerkin methods | Boundary-value problems (BVPs) | Finite element method (FEM) | Galerkin approach | Higher order elements | Linear elements | Numerical methods | Shape/interpolation functions | Weak formulationDDC classification: 537/.01/515 Online resources: Abstract with links to resource | Abstract with links to full text Also available in print.| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBKE030 |
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Part of: Synthesis digital library of engineering and computer science.
Series from website.
Includes bibliographical references.
1. One-dimensional boundary-value problems -- 1.1. Introduction -- 1.2. Electrostatic BVP and the analytical solution -- 1.3. The finite element method -- 1.4. Domain discretization -- 1.5. Interpolation functions -- 1.6. The method of weighted residual : the Galerkin approach -- 1.7. Assembly of elements -- 1.8. Imposition of boundary conditions -- 1.9. Finite element solution of the electrostatic boundary-value problem -- 1.10. One-dimensional higher order interpolation functions -- 1.11. Element matrix and right-hand-side vector using quadratic elements -- 1.12. Element matrix and right-hand-side vector using cubic elements -- 1.13. Postprocessing of the solution : quadratic elements -- 1.14. Postprocessing of the solution : cubic elements -- 1.15. Software -- 2. Two-dimensional boundary-value problems -- 2.1. Introduction -- 2.2. Domain discretization -- 2.3. Interpolation functions -- 2.4. The method of weighted residual : the Galerkin approach -- 2.5. Evaluation of element matrices and vectors -- 2.6. Assembly of the global matrix system -- 2.7. Imposition of boundary conditions -- 2.8. Solution of the global matrix system -- 2.9. Postprocessing of the results -- 2.10. Application problems -- 2.11. Higher order elements -- 2.12. Software.
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This series lecture is an introduction to the finite element method with applications in electromagnetics. The finite element method is a numerical method that is used to solve boundary-value problems characterized by a partial differential equation and a set of boundary conditions. The geometrical domain of a boundary-value problem is discretized using sub-domain elements, called the finite elements, and the differential equation is applied to a single element after it is brought to a "weak" integro-differential form. A set of shape functions is used to represent the primary unknown variable in the element domain. A set of linear equations is obtained for each element in the discretized domain. A global matrix system is formed after the assembly of all elements.
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Title from PDF t.p. (viewed Oct. 19, 2008).
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