6533b7d3fe1ef96bd12611f3

RESEARCH PRODUCT

A rescaling algorithm for the numerical solution to the porous medium equation in a two-component domain

Ján FiloAnna Hundertmark-zaušková

subject

Numerical AnalysisInterface (Java)Component (thermodynamics)Applied Mathematics010102 general mathematicsMathematical analysisGrid01 natural sciencesDomain (mathematical analysis)010101 applied mathematicsNonlinear systemModeling and SimulationContact condition0101 mathematicsPorous mediumAlgorithmReal lineMathematics

description

Abstract The aim of this paper is to design a rescaling algorithm for the numerical solution to the system of two porous medium equations defined on two different components of the real line, that are connected by the nonlinear contact condition. The algorithm is based on the self-similarity of solutions on different scales and it presents a space-time adaptable method producing more exact numerical solution in the area of the interface between the components, whereas the number of grid points stays fixed.

yearjournalcountryeditionlanguage
2016-10-01Communications in Nonlinear Science and Numerical Simulation
https://doi.org/10.1016/j.cnsns.2016.03.011