Finite element approximations of parametrized strongly nonlinear boundary value problems.
type: Item
instance of: scholarly article
title: Finite element approximations of parametrized strongly nonlinear boundary value problems.
zbMATH Open document ID: 1041.65092
DOI: 10.1007/BF03167485
author: Takuya Tsuchiya
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 2002-01-01T00:00:00Z
review text: The author presents a theory of a priori error estimates of the finite element solution of the boundary value problem \[ F(\lambda, u)= 0,\quad (\lambda, u)\in\Lambda\times W^{-1,P}_0(\Omega). \] In section 2 a finite-dimensional approximation of this problem in an abstract Banach space is considered. The applicability of the formulas of a priori error estimates \[ \| u(\lambda)- u_h(\lambda)\leq Ch\| u(\lambda)\| \] is difficult in practical calculation.
reviewed by: Ivan Secrieru
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 1869670
zbMATH Keywords: nonlinear equation with parameter
zbMATH Keywords: finite element method
zbMATH Keywords: a priori error estimates
zbMATH Keywords: Banach space
zbMATH Keywords: nonlinear boundary value problem
describes a project that uses: PLTMG
describes a project that uses: PITCON
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1869670