腾讯会议ID:480 609 956
Frist, for nonsymmetric or indefine linear elliptic PDEs, we obtain the first error estimate in L2-norm for the classical two-grid method, then design and analysis an improved two-grid method by adding one more correction on the coarse space to the classical two-gird method.
Secondly, we design and analyze a new conforming finite element discretization technique based on iterative two-grid methods for second order semilinear elliptic PDEs.
Thirdly, we present the DG methods for second order semilinear elliptic PDEs, and discuss the corresponding iterative two-grid algorithm.