On the convergence
of the backward Euler algorithm
for the multidimensional heat equation
Applicationes Mathematicae, Tome 41 (2014) no. 4, pp. 351-360
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
backward euler algorithm multidimensional nonhomogeneous heat equation analyzed based finite element method existence uniqueness numerical solution investigated convergence numerical solutions studied
Affiliations des auteurs :
Ion Aurel Cristescu 1
@article{10_4064_am41_4_6,
author = {Ion Aurel Cristescu},
title = {On the convergence
of the backward {Euler} algorithm
for the multidimensional heat equation},
journal = {Applicationes Mathematicae},
pages = {351--360},
year = {2014},
volume = {41},
number = {4},
doi = {10.4064/am41-4-6},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am41-4-6/}
}
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 SP - 351 EP - 360 VL - 41 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4064/am41-4-6/ DO - 10.4064/am41-4-6 LA - en ID - 10_4064_am41_4_6 ER -
Ion Aurel Cristescu. On the convergence of the backward Euler algorithm for the multidimensional heat equation. Applicationes Mathematicae, Tome 41 (2014) no. 4, pp. 351-360. doi: 10.4064/am41-4-6
Cité par Sources :