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

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.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1992
Accession Number
ADA260013

Entities

People

  • Ivo Babuška
  • Takuya Tsuchiya

Organizations

  • University of Maryland

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  • C4I

DTIC Thesaurus Topics

  • Approximation (Mathematics)
  • Banach Space
  • Classification
  • Command And Control
  • Computations
  • Differential Equations
  • Differential Geometry
  • Equations
  • Error Analysis
  • Inequalities
  • Intervals
  • Maryland
  • Military Research
  • Numerical Analysis
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  • Universities

Fields of Study

  • Mathematics

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  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Operations Research

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