Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh

DOI10.3934/dcdss.2020350zbMath1465.65116OpenAlexW3026016847MaRDI QIDQ830004

Dirk Martin, Branislav Basara, Karol Mikula, Jooyoung Hahn, Peter Frolkovič

Publication date: 7 May 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020350

zbMATH Keywords

finite volume methodsdiffusion equationsdeferred correctioncross diffusionpolyhedral meshleast-squares gradient

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical algorithms for specific classes of architectures (65Y10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with information and communication (35Q94) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items

Second-order accurate finite volume method for \(G\)-equation on polyhedral meshes ⋮ Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes ⋮ A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes

Uses Software

• OpenFOAM
• FlowLab
• AVL

Cites Work

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