Accession Number : ADA260013


Title :   A Priori Error Estimates of Finite Element Solutions of Parametrized Nonlinear Equations


Descriptive Note : Final rept.


Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY


Personal Author(s) : Tsuchiya, Takuya ; Babuska, Ivo


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a260013.pdf


Report Date : Nov 1992


Pagination or Media Count : 35


Abstract : In this paper, a priori error estimates of finite element solutions of second order parametrized strongly nonlinear equations in divergence form on one-dimensional bounded intervals are studied. The Banach space is chosen in formulation of the error analysis so that the nonlinear differential operators defined by the differential equations are nonlinear Fredholm operators of index 1. Finite element solutions are defined in a natural way, and several a priori estimates are proved on regular branches and on branches around turning points.. .. Parametrized nonlinear equations, Fredholm operators, Regular branches, Turning points, Finite element solutions, A priori error estimates.


Descriptors :   *FINITE ELEMENT ANALYSIS , *NONLINEAR DIFFERENTIAL EQUATIONS , *ERROR ANALYSIS , PARAMETERS , ONE DIMENSIONAL , INDEXES , BANACH SPACE , INTERVALS , ERRORS , SOLUTIONS(GENERAL) , FORMULATIONS , ESTIMATES


Subject Categories : Statistics and Probability


Distribution Statement : APPROVED FOR PUBLIC RELEASE