NDLI: Nonelliptic Approximation of a Class of Partial Differential Equations with Neumann Boundary Condition

Content Provider	Scilit
Author	Girault, V.
Copyright Year	1976
Description	This paper is devoted to the numerical resolution of a class of linear partial differential equations with an inhomogeneous Neumann boundary condition. A first order quadrilateral finite element method is used, together with a one-point integration formula. The resulting scheme is simple and widely used but its theory is not classical, in a sense described as "nonelliptic". An important boundary value theorem is derived, in order to handle the Neumann condition. An error bound shows that the scheme is of order one.
Related Links	https://www.ams.org/mcom/1976-30-133/S0025-5718-1976-0395266-5/S0025-5718-1976-0395266-5.pdf
Ending Page	91
Page Count	24
Starting Page	68
ISSN	00255718
e-ISSN	10886842
DOI	10.2307/2005431
Journal	Mathematics of Computation
Issue Number	133
Volume Number	30
Language	English
Publisher	Duke University Press
Publisher Date	1976-01-01
Access Restriction	Open
Subject Keyword	Mathematical Physics Partial Differential Equation Neumann Boundary Condition Finite Elements
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Algebra and Number Theory Computational Mathematics

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Nonelliptic Approximation of a Class of Partial Differential Equations with Neumann Boundary Condition