A Convergence Result of a Linear SUSHI Scheme Using Characteristics Method for a Semi-linear Parabolic Equation

DOI10.1007/978-3-030-55347-0_38zbMath1471.65112OpenAlexW3048150682MaRDI QIDQ5119122

Moussa Ziggaf, Abdallah Bradji

Publication date: 3 September 2020

Published in: Advances in High Performance Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-55347-0_38

zbMATH Keywords

nonlinear parabolic equationfinite volume methodscharacteristics methodlinear schemenonlinear scheme

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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)

Cites Work

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• An analysis for the convergence order of gradient schemes for semilinear parabolic equations
• 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.
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• Convergence Analysis of a Finite Volume Gradient Scheme for a Linear Parabolic Equation Using Characteristic Methods

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