On discontinuous Galerkin method and semiregular family of triangulations

Prachař, Aleš. "On discontinuous Galerkin method and semiregular family of triangulations." Applications of Mathematics 51.6 (2006): 605-618. <http://eudml.org/doc/33270>.

@article{Prachař2006,
abstract = {Discretization of second order elliptic partial differential equations by discontinuous Galerkin method often results in numerical schemes with penalties. In this paper we analyze these penalized schemes in the context of quite general triangular meshes satisfying only a semiregularity assumption. A new (modified) penalty term is presented and theoretical properties are proven together with illustrative numerical results.},
author = {Prachař, Aleš},
journal = {Applications of Mathematics},
keywords = {discontinuous Galerkin method; elliptic equations; penalty method; semiregular family of triangulations; discontinuous Galerkin method; elliptic equations; penalty method; semiregular family of triangulations; numerical results},
language = {eng},
number = {6},
pages = {605-618},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On discontinuous Galerkin method and semiregular family of triangulations},
url = {http://eudml.org/doc/33270},
volume = {51},
year = {2006},
}

TY - JOUR
AU - Prachař, Aleš
TI - On discontinuous Galerkin method and semiregular family of triangulations
JO - Applications of Mathematics
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 6
SP - 605
EP - 618
AB - Discretization of second order elliptic partial differential equations by discontinuous Galerkin method often results in numerical schemes with penalties. In this paper we analyze these penalized schemes in the context of quite general triangular meshes satisfying only a semiregularity assumption. A new (modified) penalty term is presented and theoretical properties are proven together with illustrative numerical results.
LA - eng
KW - discontinuous Galerkin method; elliptic equations; penalty method; semiregular family of triangulations; discontinuous Galerkin method; elliptic equations; penalty method; semiregular family of triangulations; numerical results
UR - http://eudml.org/doc/33270
ER -