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
Klassifikation
DFG Fachgebiet:
Mathematik
DDC Sachgruppe:
Mathematik
