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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reception

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

Definitive

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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.

ineffectual

https://doi.org/10.1007/978-1-4684-6331-6Analysis; Eigenvalue; Numerical integration; algorithms; differential equation; eXist; eigenvalue problem;

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Mnemonics

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.

MIME

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.

变量

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.

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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).