Numerical methods for reaction-diffusion problems with non-differentiable kinetics

DOI10.1007/BF01395875zbMath0655.65127MaRDI QIDQ1109541

A. B. Stephens, Manil Suri, A. Kadir Aziz

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133262

zbMATH Keywords

rate of convergenceestimatesfinite element schemesteady-state semilinear reaction-diffusion problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

A class of quadratic programs with linear complementarity constraints ⋮ A fixed-point method for a class of super-large scale nonlinear complementarity problems ⋮ Numerical solutions to nonsmooth Dirichlet problems based on lumped mass finite element discretization ⋮ Finite element approximation of a model reaction-diffusion problem with a non-Lipschitz nonlinearity ⋮ Nonconforming finite element methods for the constrained optimal control problems governed by nonsmooth elliptic equations ⋮ Finite element method for a nonsmooth elliptic equation ⋮ Numerical methods for nonlinear equations ⋮ A Newton-like method for solving a non-smooth elliptic equation

Cites Work

• Unnamed Item
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• On \(M\)-functions and their application to nonlinear Gauss-Seidel iterations and to network flows
• Diffusion and reaction with monotone kinetics
• The Free Boundary of a Semilinear Elliptic Equation
• A Galerkin Method for a Nonlinear Dirichlet Problem
• On Pointwise Estimates for a Finite Element Solution of Nonlinear Boundary Value Problems

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