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

Communications in Nonlinear Science and Numerical Simulation. Bd. 39. Elsevier BV 2016 S. 411 - 426

Erscheinungsjahr: 2016

Publikationstyp: Zeitschriftenaufsatz

Sprache: Deutsch

Doi/URN: 10.1016/j.cnsns.2016.03.011

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Inhaltszusammenfassung


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

Autoren


Filo, Ján (Autor)
Hundertmark-Zaušková, Anna (Autor)

Klassifikation


DFG Fachgebiet:
Mathematik

DDC Sachgruppe:
Mathematik

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