Adaptive cell-centered finite volume method for diffusion equations on a consistent quadtree grid

DOI10.1007/S10444-015-9423-2zbMath1338.65220OpenAlexW1136204031MaRDI QIDQ273656

Karol Mikula, Angela Handlovičová, Zuzana Krivá

Publication date: 22 April 2016

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-015-9423-2

zbMATH Keywords

finite volume methodimage processingadaptivitynumerical experimentPerona-Malik modeldiffusion equationslinear heat equationquadtree grids

Mathematics Subject Classification ID

Heat equation (35K05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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