Explicit monotone iterations providing upper and lower bounds for finite element solution with nonlinear radiation boundary conditions

DOI10.1007/BF02253187zbMath0576.65126MaRDI QIDQ1064760

B. George

Publication date: 1986

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

upper and lower boundscoolingfiniteelementexplicit monotone iterationsnonlinear radiation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

Cites Work

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• Monotone explicit iterations of the finite element approximations for the nonlinear boundary value problem
• Explicit iterations with monotonicity for finite element approximations applied to a system of nonlinear elliptic equations
• Finite element approximations applied to the nonlinear boundary value problem \(\Delta(u)=b(u)^2\)
• Discrete maximum principle for finite-difference operators
• Generalized radiation cooling of a convex solid
• Maximum principle and uniform convergence for the finite element method
• On finite element schemes of the dirichlet problem

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