3D domain decomposition method coupling conforming and nonconforming finite elements

Agouzal, Abdellatif, Lamoulie, Laurence, and Thomas, Jean-Marie. "3D domain decomposition method coupling conforming and nonconforming finite elements." ESAIM: Mathematical Modelling and Numerical Analysis 33.4 (2010): 771-780. <http://eudml.org/doc/197458>.

@article{Agouzal2010,
abstract = { This paper deals with the solution of problems involving partial differential equations in $\mathbb\{R\}^3$. For three dimensional case, methods are useful if they require neither domain boundary regularity nor regularity for the exact solution of the problem. A new domain decomposition method is therefore presented which uses low degree finite elements. The numerical approximation of the solution is easy, and optimal error bounds are obtained according to suitable norms. },
author = {Agouzal, Abdellatif, Lamoulie, Laurence, Thomas, Jean-Marie},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Domain decomposition; hybrid finite elements methods.; unregular domain boundary; domain decomposition; hybrid finite element methods; error bounds},
language = {eng},
month = {3},
number = {4},
pages = {771-780},
publisher = {EDP Sciences},
title = {3D domain decomposition method coupling conforming and nonconforming finite elements},
url = {http://eudml.org/doc/197458},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Agouzal, Abdellatif
AU - Lamoulie, Laurence
AU - Thomas, Jean-Marie
TI - 3D domain decomposition method coupling conforming and nonconforming finite elements
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 4
SP - 771
EP - 780
AB - This paper deals with the solution of problems involving partial differential equations in $\mathbb{R}^3$. For three dimensional case, methods are useful if they require neither domain boundary regularity nor regularity for the exact solution of the problem. A new domain decomposition method is therefore presented which uses low degree finite elements. The numerical approximation of the solution is easy, and optimal error bounds are obtained according to suitable norms.
LA - eng
KW - Domain decomposition; hybrid finite elements methods.; unregular domain boundary; domain decomposition; hybrid finite element methods; error bounds
UR - http://eudml.org/doc/197458
ER -