Strong bounded variation estimates for the multi-dimensional finite volume approximation of scalar conservation laws and application to a tumour growth model
DOI10.1051/m2an/2021027zbMath1491.65082arXiv2004.12346OpenAlexW3172914387MaRDI QIDQ5074376
Publication date: 9 May 2022
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.12346
convergence analysisfinite volume schemesbounded variationCartesian gridsscalar conservation lawsbreast cancer modelnonlinear flux
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Stokes and related (Oseen, etc.) flows (76D07) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Cell biology (92C37) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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