摘要
A new second order time stepping ensemble hybridizable discontinuous Galerkin method for parameterized convection diffusion PDEs with various initial and boundary conditions,body forces,and time depending coefficients is developed.For ensemble solutions in L_(∞)(0,T;L^(2)(Ω)),a superconvergent rate with respect to the freedom degree of the globally coupled unknowns for all the polynomials of degree k≥0 is established.The results of numerical experiments are consistent with the theoretical findings.
基金
G.Chen was supported by National Natural Science Foundation of China(NSFC)(11801063)
by China Postdoctoral Science Foundation(2018M633339,2019T120808)
by the Fundamental Research Funds for the Central Universities(YJ202030)
Y.Zhang was supported by US National Science Foundation(NSF)(DMS-1619904).
