TY - JOUR
T1 - A Lions Domain Decomposition Algorithm for Radiation Diffusion Equations on Non-Matching Grids
AU - Li Yin, Jiming Wu & Zihuan Dai
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 530
EP - 548
PY - 2015
DA - 2015/08
SN - 8
DO - http://doi.org/10.4208/nmtma.2015.m1403
UR - https://global-sci.org/intro/article_detail/nmtma/12422.html
KW - 
AB - <p style="text-align: justify;">We develop a Lions domain decomposition algorithm based on a cell functional minimization scheme on non-matching multi-block grids for nonlinear radiation diffusion equations, which are described by the coupled radiation diffusion equations of electron, ion and photon temperatures. The $L^2$&nbsp;orthogonal projection is applied in the Robin transmission condition of non-matching surfaces. Numerical results show that the algorithm keeps the optimal accuracy on the whole computational domain, is robust enough on distorted meshes and curved surfaces, and the convergence rate does not depend on Robin coefficients. It is a practical and attractive algorithm in applying to the two-dimensional three-temperature energy equations of Z-pinch implosion simulation.</p>