论文标题
用于椭圆运算符的HDG方法的均匀辅助空间预处
Uniform auxiliary space preconditioning for HDG methods for elliptic operators with a parameter dependent low order term
论文作者
论文摘要
The auxiliary space preconditioning (ASP) technique is applied to the HDG schemes for three different elliptic problems with a parameter dependent low order term, namely, a symmetric interior penalty HDG scheme for the scalar reaction-diffusion equation, a divergence-conforming HDG scheme for a vectorial reaction-diffusion equation, and a C 0 -continuous interior penalty HDG scheme for the generalized Biharmonic方程的低订单期限。每种情况下都获得了统一的预处理，J. XU [21]的一般ASP理论用于证明相对于低阶参数的网格大小和均匀性的最佳性。
The auxiliary space preconditioning (ASP) technique is applied to the HDG schemes for three different elliptic problems with a parameter dependent low order term, namely, a symmetric interior penalty HDG scheme for the scalar reaction-diffusion equation, a divergence-conforming HDG scheme for a vectorial reaction-diffusion equation, and a C 0 -continuous interior penalty HDG scheme for the generalized biharmonic equation with a low order term. Uniform preconditioners are obtained for each case and the general ASP theory by J. Xu [21] is used to prove the optimality with respect to the mesh size and uniformity with respect to the low order parameter.
