Open AccessEnergy methods for Cauchy problems of evolutions equations
Author(s) -
Stéphane Andrieux,
Thouraya Baranger
Publication year - 2008
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/135/1/012007
Subject(s) - cauchy problem , hyperbolic partial differential equation , mathematics , cauchy distribution , initial value problem , energy (signal processing) , energy method , mathematical analysis , multigrid method , partial differential equation , statistics
International audienceIn the present paper a numerical method based on minimizing energy functionals, is developed for solving Cauchy problem of evolution equations. Two cases are treated: the parabolic equations as the heat equations and the hyperbolic ones as the elastodynamics equations. The method is first presented in some details, then, illustrated on various applications