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Analysis of a Finite Element Method - PDE/PROTRAN (Paperback, Softcover reprint of the original 1st ed. 1985)
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Analysis of a Finite Element Method - PDE/PROTRAN (Paperback, Softcover reprint of the original 1st ed. 1985)
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This text can be used for two quite different purposes. It can be
used as a reference book for the PDElPROTRAN user. who wishes to
know more about the methods employed by PDE/PROTRAN Edition 1 (or
its predecessor, TWODEPEP) in solving two-dimensional partial
differential equations. However, because PDE/PROTRAN solves such a
wide class of problems, an outline of the algorithms contained in
PDElPROTRAN is also quite suitable as a text for an introductory
graduate level finite element course. Algorithms which solve
elliptic, parabolic, hyperbolic, and eigenvalue partial
differential equation problems are pre sented, as are techniques
appropriate for treatment of singularities, curved boundaries,
nonsymmetric and nonlinear problems, and systems of PDEs. Direct
and iterative linear equation solvers are studied. Although the
text emphasizes those algorithms which are actually implemented in
PDEI PROTRAN, and does not discuss in detail one- and
three-dimensional problems, or collocation and least squares finite
element methods, for example, many of the most commonly used
techniques are studied in detail. Algorithms applicable to general
problems are naturally emphasized, and not special purpose
algorithms which may be more efficient for specialized problems,
such as Laplace's equation. It can be argued, however, that the
student will better understand the finite element method after
seeing the details of one successful implementation than after
seeing a broad overview of the many types of elements, linear
equation solvers, and other options in existence."
General
Imprint: |
Springer-Verlag New York
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Country of origin: |
United States |
Release date: |
November 1985 |
First published: |
1985 |
Authors: |
Granville Sewell
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Dimensions: |
235 x 155 x 9mm (L x W x T) |
Format: |
Paperback
|
Pages: |
154 |
Edition: |
Softcover reprint of the original 1st ed. 1985 |
ISBN-13: |
978-0-387-96226-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
0-387-96226-3 |
Barcode: |
9780387962269 |
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