The box method and some error estimation

Mlýnek, Jaroslav. "The box method and some error estimation." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2008. 150-156. <http://eudml.org/doc/271409>.

@inProceedings{Mlýnek2008,
abstract = {This article focuses its attention on practical use of the box method for solving certain type of partial differential equations. The heat conduction problem of the oil transformer under stationary load is described by this equation. The knowledge of the transformer operating temperature is important for ensuring correct functionality and lifespan of transformer. We consider an elliptic partial differential equation of second order with the Newton boundary condition on a rectangular domain. The paper contains description of a numerical solution procedure of the heat problem and an estimation of local discretization error. The box method is often called the finite volume method, too. The solution of practical examples are presented as well.},
author = {Mlýnek, Jaroslav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {numerical examples; box method; heat conduction problem; elliptic equation; local discretization error; finite volume method},
location = {Prague},
pages = {150-156},
publisher = {Institute of Mathematics AS CR},
title = {The box method and some error estimation},
url = {http://eudml.org/doc/271409},
year = {2008},
}

TY - CLSWK
AU - Mlýnek, Jaroslav
TI - The box method and some error estimation
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2008
CY - Prague
PB - Institute of Mathematics AS CR
SP - 150
EP - 156
AB - This article focuses its attention on practical use of the box method for solving certain type of partial differential equations. The heat conduction problem of the oil transformer under stationary load is described by this equation. The knowledge of the transformer operating temperature is important for ensuring correct functionality and lifespan of transformer. We consider an elliptic partial differential equation of second order with the Newton boundary condition on a rectangular domain. The paper contains description of a numerical solution procedure of the heat problem and an estimation of local discretization error. The box method is often called the finite volume method, too. The solution of practical examples are presented as well.
KW - numerical examples; box method; heat conduction problem; elliptic equation; local discretization error; finite volume method
UR - http://eudml.org/doc/271409
ER -