Finite element approximations of parametrized strongly nonlinear boundary value problems.

DOI10.1007/BF03167485zbMath1041.65092MaRDI QIDQ1859348

Takuya Tsuchiya

Publication date: 2002

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite element methodnonlinear boundary value problemBanach spacea priori error estimatesnonlinear equation with parameter

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Nonlinear differential equations in abstract spaces (34G20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Finite element analysis for parametrized nonlinear equations around turning points

Uses Software

• PLTMG
• PITCON

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite dimensional approximation of nonlinear problems. II: Limit points
• A priori error estimates of finite element solutions of parametrized strongly nonlinear boundary value problems
• Solution manifolds and submanifolds of parametrized equations and their discretization errors
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• An application of the Kantorovich theorem to nonlinear finite element analysis
• On the Discretization Error of Parametrized Nonlinear Equations
• PLTMG: A Software Package for Solving Elliptic Partial Differential Equations
• Curved Elements in the Finite Element Method. I
• Finite element analysis for parametrized nonlinear equations around turning points

This page was built for publication: Finite element approximations of parametrized strongly nonlinear boundary value problems.