Displaying similar documents to “Estimates and Computations for Melting and Solidification Problems”

Numerical Analysis of a Relaxed Variational Model of Hysteresis in Two-Phase Solids

Carsten Carstensen, Petr Plecháč (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

This paper presents the numerical analysis for a variational formulation of rate-independent phase transformations in elastic solids due to Mielke The new model itself suggests an implicit time-discretization which is combined with the finite element method in space. error estimates are established for the quasioptimal spatial approximation of the stress field within one time-step. error estimates motivate an adaptive mesh-refining algorithm for efficient discretization....

On the Use of the Hill Functions in Mathematical Models of Gene Regulatory Networks

M. Santillán (2008)

Mathematical Modelling of Natural Phenomena

Similarity:

Hill functions follow from the equilibrium state of the reaction in which n ligands simultaneously bind a single receptor. This result if often employed to interpret the Hill coefficient as the number of ligand binding sites in all kinds of reaction schemes. Here, we study the equilibrium states of the reactions in which n ligand bind a receptor sequentially, both non-cooperatively and in a cooperative fashion. The main outcomes of such analysis are that: is not a good estimate, but...