Consistent convergence rate estimates in the grid \(W_{2,0}^2(\omega)\) norm for difference schemes approximating nonlinear elliptic equations with mixed derivatives and solutions from \(W_{2,0}^m(\Omega)\), \(3 < m \leq 4\)

DOI10.1134/S0965542517090081zbMath1381.65089OpenAlexW2758500508MaRDI QIDQ1687798

F. V. Lubyshev, M. E. Fairuzov

Publication date: 4 January 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517090081

zbMATH Keywords

convergencedifference methodDirichlet boundary value problemiterative processnonlinear elliptic equationsunbounded nonlinearityaccuracy of difference approximations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Unnamed Item ⋮ On convergence of difference schemes for Dirichlet IBVP for two-dimensional quasilinear parabolic equations with mixed derivatives and generalized solutions ⋮ Approximations to problems of optimal control of leading coefficients of elliptic equations in nondivergence form with an unbounded nonlinearity in the coefficients ⋮ Monotone finite-difference schemes of second-order accuracy for quasilinear parabolic equations with mixed derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions
• Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives
• An analysis of a difference scheme approximating a third boundary-value problem for a second-order nonlinear differential equation
• On the convergence of difference schemes for generalized Benjamin–Bona–Mahony equation
• Well-posedness of difference schemes for semilinear parabolic equations with weak solutions
• A model reference adaptive control system for a class of discrete linear time-varying systems with time delay
• Finite Difference Schemes for Partial Differential Equations with Weak Solutions and Irregular Coefficients
• On the convergence of difference methods for certain degenerate quasi-linear parabolic equations
• Analysis of Finite Difference Schemes
• Convergence of Fourth Order Compact Difference Schemes for Three‐Dimensional Convection‐Diffusion Equations

This page was built for publication: Consistent convergence rate estimates in the grid \(W_{2,0}^2(\omega)\) norm for difference schemes approximating nonlinear elliptic equations with mixed derivatives and solutions from \(W_{2,0}^m(\Omega)\), \(3 < m \leq 4\)