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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https://doi.org/10.1057/978-1-137-52871-1The form of the eigenvalue PDE system solved by PDE/PROTRAN (Section 1.5) is: . where A, B, F and GB are linear, homogeneous functions and P is a (usually diagonal) matrix.

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Partial Differential Equation Applications,A 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.

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,Elliptic Problems — Solving the Algebraic Equations,As 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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Eigenvalue Problems,The form of the eigenvalue PDE system solved by PDE/PROTRAN (Section 1.5) is: . where A, B, F and GB are linear, homogeneous functions and P is a (usually diagonal) matrix.

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