SUPERCONVERGENCE ANALYSIS OF FLUX COMPUTATIONS FOR NONLINEAR PROBLEMS Academic Article

abstract

• In this paper we consider the error estimates for some boundary-flux calculation procedures applied to two-point semilinear and strongly nonlinear elliptic boundary value problems. The case of semilinear parabolic problems is also studied. We prove that the computed flux is superconvergent with second and third order of convergence for linear and quadratic elements respectively. Corresponding estimates for higher order elements may also be obtained by following the general line of argument.

authors

• Lazarov, Raytcho

published proceedings

• BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

author list (cited authors)

• CHOW, S. S., & LAZAROV, R. D.

citation count

• 6

complete list of authors

• CHOW, SS||LAZAROV, RD

publication date

• December 1989

publisher

• Cambridge University Press (CUP)  Publisher

published in

• Bulletin of the Australian Mathematical Society  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4903 Numerical And Computational Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1017/S0004972700017536

start page

• 465

end page

• 479

volume

• 40

issue

• 3

URL

• http://dx.doi.org/10.1017/s0004972700017536