Convergence Analysis of a Finite Volume Gradient Scheme for a Linear Parabolic Equation Using Characteristic Methods

DOI10.1007/978-3-030-41032-2_65zbMath1466.65090OpenAlexW3006439193MaRDI QIDQ3297740

Abdallah Bradji, Fayssal Benkhaldoun

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-41032-2_65

zbMATH Keywords

finite volumeparabolic equationscharacteristics method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (2)

A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes ⋮ A Convergence Result of a Linear SUSHI Scheme Using Characteristics Method for a Semi-linear Parabolic Equation

Cites Work

• Error estimates of the discretization of linear parabolic equations on general nonconforming spatial grids
• Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes.
• Numerical Approximation of Partial Differential Equations
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces

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