On the convergence of the backward Euler algorithm for the multidimensional heat equation

Ion Aurel Cristescu

Applicationes Mathematicae (2014)

  • Volume: 41, Issue: 4, page 351-360
  • ISSN: 1233-7234

Abstract

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The backward Euler algorithm for the multidimensional nonhomogeneous heat equation is analyzed, based on the finite element method. The existence and uniqueness of the numerical solution is investigated. Also, the convergence of the numerical solutions is studied.

How to cite

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Ion Aurel Cristescu. "On the convergence of the backward Euler algorithm for the multidimensional heat equation." Applicationes Mathematicae 41.4 (2014): 351-360. <http://eudml.org/doc/279898>.

@article{IonAurelCristescu2014,
abstract = {The backward Euler algorithm for the multidimensional nonhomogeneous heat equation is analyzed, based on the finite element method. The existence and uniqueness of the numerical solution is investigated. Also, the convergence of the numerical solutions is studied.},
author = {Ion Aurel Cristescu},
journal = {Applicationes Mathematicae},
keywords = {backward Euler algorithm; finite element method; heat equation; variational methods},
language = {eng},
number = {4},
pages = {351-360},
title = {On the convergence of the backward Euler algorithm for the multidimensional heat equation},
url = {http://eudml.org/doc/279898},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Ion Aurel Cristescu
TI - On the convergence of the backward Euler algorithm for the multidimensional heat equation
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 4
SP - 351
EP - 360
AB - The backward Euler algorithm for the multidimensional nonhomogeneous heat equation is analyzed, based on the finite element method. The existence and uniqueness of the numerical solution is investigated. Also, the convergence of the numerical solutions is studied.
LA - eng
KW - backward Euler algorithm; finite element method; heat equation; variational methods
UR - http://eudml.org/doc/279898
ER -

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