TY - JOUR
T1 - Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations
AU - Qiya Hu & Lin Zhao
JO - Communications in Computational Physics
VL - 4
SP - 1069
EP - 1100
PY - 2017
DA - 2017/10
SN - 22
DO - http://doi.org/10.4208/cicp.240515.040517a
UR - https://global-sci.org/intro/article_detail/cicp/9994.html
KW - 
AB - <p style="text-align: justify;">In this paper we are concerned with numerical methods for nonlinear time-dependent
problem coupled by electron, ion and photon temperatures in two dimensions,
which is called the 2D-3T heat conduction equations. We propose discontinuous
Galerkin (DG) methods for the discretization of the equations. For solving the resulting
discrete system, we employ two domain decomposition (DD) preconditioners, one
of which is associated with the non-overlapping DDM and the other is based on DDM
with small overlap. The preconditioners are constructed by dropping the couplings between
particles and each preconditioner consists of three preconditioners with smaller
matrix size. To gauge the efficiency of the preconditioners, we test two examples and
make different settings of parameters. Numerical results show that the proposed preconditioners
are very effective to the 2D-3T problem.</p>