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Titlebook: Analysis of a Finite Element Method; PDE/PROTRAN Granville Sewell Book 1985 Springer-Verlag New York Inc. 1985 Analysis.Eigenvalue.Numerica

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樓主
發(fā)表于 2025-3-21 16:05:24 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Analysis of a Finite Element Method
期刊簡稱PDE/PROTRAN
影響因子2023Granville Sewell
視頻videohttp://file.papertrans.cn/157/156466/156466.mp4
圖書封面Titlebook: Analysis of a Finite Element Method; PDE/PROTRAN Granville Sewell Book 1985 Springer-Verlag New York Inc. 1985 Analysis.Eigenvalue.Numerica
影響因子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
Pindex Book 1985
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沙發(fā)
發(fā)表于 2025-3-21 23:56:41 | 只看該作者
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
板凳
發(fā)表于 2025-3-22 03:15:59 | 只看該作者
地板
發(fā)表于 2025-3-22 06:31:29 | 只看該作者
Hyperbolic Problems,ed for hyperbolic problems. The results of this chapter will show, in fact, that for both first and second order hyperbolic problems, PDE/PROTRAN is a useful tool provided the solutions being approximated are smooth, and is probably as robust as other general purpose PDE packages for these problems.
5#
發(fā)表于 2025-3-22 09:31:31 | 只看該作者
https://doi.org/10.1007/978-1-4684-6331-6Analysis; Eigenvalue; Numerical integration; algorithms; differential equation; eXist; eigenvalue problem;
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發(fā)表于 2025-3-22 14:12:51 | 只看該作者
7#
發(fā)表于 2025-3-22 19:04:14 | 只看該作者
Catherine Holloway,Giulia BarbareschiA study of partial differential equation applications gives essential insights into the mathematical properties of the PDEs themselves, and thus the applications discussed in this chapter should not be viewed as supplemental material, but as an integral part of the text.
8#
發(fā)表于 2025-3-22 23:14:43 | 只看該作者
Catherine Holloway,Giulia BarbareschiThe form of the steady state PDE system solved by PDE/PROTRAN (Section 1.5), is: . where R is a general two dimensional region and. are disjoint parts of the boundary. The time dependent and eigenvalue problems will be studied in Chapters 4–6.
9#
發(fā)表于 2025-3-23 01:39:43 | 只看該作者
https://doi.org/10.1007/978-3-658-33334-8As outlined in Chapter 2, the finite element approximation to the solution of an elliptic PDE leads to a set of algebraic equations (2.1.4) which are linear or nonlinear as the PDE itself is linear or nonlinear.
10#
發(fā)表于 2025-3-23 08:09:03 | 只看該作者
https://doi.org/10.1007/978-3-658-33334-8The form of the time-dependent PDE system solved by PDE/PROTRAN (Section 1.5) is: . where R is a general two dimesional region, . are disjoint parts of the boundary, and C is a diagonal m by m matrix (m=number of PDEs).
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