TY - JOUR
T1 - Preface to Focused Issue on Discontinuous Galerkin Methods
AU - Hesthaven, Jan S.
AU - Ryan, Jennifer
AU - Shu, Chi Wang
AU - van der Vegt, Jaap
AU - Xu, Yan
AU - Zhang, Qiang
AU - Zhang, Zhimin
PY - 2022/3
Y1 - 2022/3
N2 - The discontinuous Galerkin (DG) method is a class of finite element methods using completely discontinuous piecewise smooth functions (typically polynomials) as basis and test functions. Since its inception in 1973 [10], it has seen a sustained development, both in the computational mathematics community and in many scientific and engineering application communities. The DG methods have several advantages, such as its extreme flexibility in dealing with complex geometry and adaptive computation (both h- and p-adaptivities are easy to implement), extremely high parallel efficiency, good stability properties (energy and entropy stability has been established for DG methods in many situations), nice convergence and superconvergence properties, and capability to solve hyperbolic and convection-dominated problems effectively.
AB - The discontinuous Galerkin (DG) method is a class of finite element methods using completely discontinuous piecewise smooth functions (typically polynomials) as basis and test functions. Since its inception in 1973 [10], it has seen a sustained development, both in the computational mathematics community and in many scientific and engineering application communities. The DG methods have several advantages, such as its extreme flexibility in dealing with complex geometry and adaptive computation (both h- and p-adaptivities are easy to implement), extremely high parallel efficiency, good stability properties (energy and entropy stability has been established for DG methods in many situations), nice convergence and superconvergence properties, and capability to solve hyperbolic and convection-dominated problems effectively.
KW - n/a OA procedure
UR - http://www.scopus.com/inward/record.url?scp=85132118243&partnerID=8YFLogxK
U2 - 10.1007/s42967-021-00170-1
DO - 10.1007/s42967-021-00170-1
M3 - Editorial
AN - SCOPUS:85132118243
SN - 2096-6385
VL - 4
SP - 1
EP - 2
JO - Communications on Applied Mathematics and Computation
JF - Communications on Applied Mathematics and Computation
IS - 1
ER -