Crank-Nicolson Method of a Two-Grid Finite Volume Element Algorithm for Nonlinear Parabolic Equations

DOI10.4208/eajam.090820.311220zbMath1475.65168OpenAlexW3164732004MaRDI QIDQ5014275

Yuzhi Lou, Chuanjun Chen, Guan-Yu Xue, Yunjie Gong

Publication date: 1 December 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.090820.311220

zbMATH Keywords

error estimatesnonlinear parabolic equationstwo-grid algorithmfinite volume element methodCrank-Nicolson method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (6)

Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations ⋮ Two‐level stabilized finite volume method for the stationary incompressible magnetohydrodynamic equations ⋮ Stability and Convergence of Stabilized Finite Volume Iterative Methods for Steady Incompressible MHD Flows with Different Viscosities ⋮ Two-level iterative finite element methods for the stationary natural convection equations with different viscosities based on three corrections ⋮ Unconditional stability and convergence analysis of fully discrete stabilized finite volume method for the time-dependent incompressible MHD flow ⋮ A new symmetric mixed element method for semi-linear parabolic problem based on two-grid discretization

Cites Work

• Unnamed Item
• On the finite volume element method
• Two-grid finite volume element method for linear and nonlinear elliptic problems
• Numerical Solution to a Mixed Navier–Stokes/Darcy Model by the Two-Grid Approach
• On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
• Some Error Estimates for the Box Method
• Finite Volume Methods for Elliptic PDE's: A New Approach
• Error estimates for a finite volume element method for parabolic equations in convex polygonal domains

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