Eigenvalue Problems

Granville Sewell
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Granville Sewell: University of Texas at El Paso, Mathematics Department

Chapter Chapter 6 in Analysis of a Finite Element Method, 1985, pp 113-124 from Springer

Abstract: Abstract The form of the eigenvalue PDE system solved by PDE/PROTRAN (Section 1.5) is: (6.1.1) $$\begin{array}{*{20}{c}} {0 = {A_x}(x,y,u,{u_x},{u_y}) + {B_y}(x,y,u,{u_x},{u_y}) + F(x,y,u,{u_x},{u_y}) + \lambda P(x,y)u\,in\,R} \\ {u = 0\,on\,\partial {R_1}} \\ {A{n_x} + B{n_y} = GB(x,y,u)\,on\,\partial {R_2}} \end{array}$$ where A, B, F and GB are linear, homogeneous functions and P is a (usually diagonal) matrix.

Keywords: Stationary Point; Small Eigenvalue; Discrete Problem; Inverse Power; Essential Boundary Condition (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-1-4684-6331-6_6

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