Elliptic Problems — Forming the Algebraic Equations

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

Chapter Chapter 2 in Analysis of a Finite Element Method, 1985, pp 22-49 from Springer

Abstract: Abstract The form of the steady state PDE system solved by PDE/PROTRAN (Section 1.5), is: (2.1.1) $$\begin{array}{*{20}{c}} {0 = {A_x}(x,y,u,{u_x},{u_y}) + {B_y}(x,y,u,{u_x},{u_y}) + F(x,y,u,{u_x},{u_y})\,in\,R} \\ {u = FB(x,y)\,on\,\partial {R_1}} \\ {A{n_x} + B{n_y} = GB(x,y,u)\,on\,\partial {R_2}} \end{array}\,$$ where R is a general two dimensional region and $$\partial {R_1}\,and\,\partial {R_2}$$ are disjoint parts of the boundary. The time dependent and eigenvalue problems will be studied in Chapters 4–6.

Keywords: Piecewise Polynomial; Numerical Integration Scheme; Curve Triangle; Galerkin Solution; Piecewise Polynomial Approximation (search for similar items in EconPapers)
Date: 1985
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4684-6331-6_2

Ordering information: This item can be ordered from
http://www.springer.com/9781468463316

DOI: 10.1007/978-1-4684-6331-6_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().