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Many tumours undergo periods in which
they apparently do not grow but remain at a roughly constant size
for extended periods. This is termed tumour dormancy. The
mechanisms responsible for dormancy include failure to develop an
internal blood supply, individual tumour cells exiting the cell
cycle and a balance between the tumour and the immune response to
it. Tumour dormancy is of considerable importance in the natural
history of cancer. In many cancers, and in particular in breast
cancer, recurrence...
We consider the solution of second order elliptic PDEs in R with inhomogeneous Dirichlet data by means of an –adaptive FEM with fixed polynomial order ∈ N. As model example serves the Poisson equation with mixed Dirichlet–Neumann boundary conditions, where the inhomogeneous Dirichlet data are discretized by use of an
–stable projection, for instance, the
–projection for = 1 or the Scott–Zhang projection for general ≥ 1. For error estimation, we use a residual error...
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