The solution of the boundary-vaue problem for non-self-adjoint elliptic equa tions is approximated by Partial Upwind Finite Element method, where all the angles of the triangles a are /2 but the mesh parameter h are a...The solution of the boundary-vaue problem for non-self-adjoint elliptic equa tions is approximated by Partial Upwind Finite Element method, where all the angles of the triangles a are /2 but the mesh parameter h are arbitrary and which insures the validity of the strongly maximum principle for the discrete prob-lem. The Schwarz alternating method will enable us to break the discrete linear system into several linear subsystems of smaller size and we shall show that the approximate solutions from Schwarz domain decomposition method converge to the exact solution of the linear system geometrically and uniformly.展开更多
文摘The solution of the boundary-vaue problem for non-self-adjoint elliptic equa tions is approximated by Partial Upwind Finite Element method, where all the angles of the triangles a are /2 but the mesh parameter h are arbitrary and which insures the validity of the strongly maximum principle for the discrete prob-lem. The Schwarz alternating method will enable us to break the discrete linear system into several linear subsystems of smaller size and we shall show that the approximate solutions from Schwarz domain decomposition method converge to the exact solution of the linear system geometrically and uniformly.
