On the numerical approximation of finite speed diffusion problems
type: Item
instance of: scholarly article
title: On the numerical approximation of finite speed diffusion problems
zbMATH Open document ID: 0663.76111
DOI: 10.1007/BF01395879
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133266
review text: Lagrangian formulations for the Cauchy problems for the generalized-heat and porous-media equations are introduced and equivalence and existence results discussed. Efficient interface tracking finite difference and finite element discretizations of the Lagrangian formulation are discussed. Mixed Euler-Lagrange formulations for mixed problems and the one phase Stefan problem are presented. Numerical experiments are discussed.
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 4085312
zbMATH Keywords: Lagrangian formulations
zbMATH Keywords: Cauchy problems
zbMATH Keywords: porous-media equations
zbMATH Keywords: existence results
zbMATH Keywords: finite difference
zbMATH Keywords: finite element discretizations
zbMATH Keywords: Mixed Euler-Lagrange formulations
author: Eduardo Socolovsky
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4085312