3 papers
math.NA2020
Strong bounded variation estimates for the multi-dimensional finite volume approximation of scalar conservation laws and application to a tumour growth model
Gopikrishnan Chirappurathu Remesan
A uniform bounded variation estimate for finite volume approximations of the nonlinear scalar conservation law in two and three…
math.NA2020
Numerical solution of a two dimensional tumour growth model with moving boundary
Jerome Droniou, Jennifer A. Flegg, Gopikrishnan C. Remesan
We consider a biphasic continuum model for avascular tumour growth in two spatial dimensions, in which a cell phase and a fluid phase follow conservation of mass and momentum. A li…
math.NA2019
Convergence analysis of a numerical scheme for a tumour growth model
Jerome Droniou, Neela Nataraj, Gopikrishnan Chirappurathu Remesan
We consider a one--spatial dimensional tumour growth model [2, 3, 4] that consists of three dependent variables of space and time: volume fraction of tumour cells, velocity of tumo…