Efficient multistep procedures for nonlinear parabolic problems with nonlinear Neumann boundary conditions

DOI10.1007/BF02575804zbMath0522.65072OpenAlexW2061558369MaRDI QIDQ1056209

Richard E. Ewing

Publication date: 1982

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02575804

zbMATH Keywords

nonlinear Neumann boundary conditionspreconditioned iterative methodmultistep proceduresoptimal order convergence ratestime-stepping Galerkin methods

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Method of lines for boundary value problems involving PDEs (65N40)

Related Items

A weighted difference scheme and monotone iterative methods for quasilinear boundary value problems, Energy error estimates for a linear scheme to approximate nonlinear parabolic problems, On efficient time-stepping methods for nonlinear partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On efficient time-stepping methods for nonlinear partial differential equations
• Galerkin methods for parabolic equations with nonlinear boundary conditions
• Efficient Higher Order Single Step Methods for Parabolic Problems: Part I
• Efficient Time-Stepping Methods for Miscible Displacement Problems in Porous Media
• Finite Element Multistep Discretizations of Parabolic Boundary Value Problems
• Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
• A Galerkin Method for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions
• Incomplete Iteration for Time-Stepping a Galerkin Method for a Quasilinear Parabolic Problem
• Alternating Direction Multistep Methods for Parabolic Problems–Iterative Stabilization