Abstract: | A moving mesh method for structured grids is presented for general solution domains, which are composed of a number of simply shaped blocks. Its basic idea is to solve moving mesh PDEs by overlapping Schwarz iterations and to connect the meshes in each of the blocks smoothly. A finite element method based upon this moving mesh method is developed for solving time dependent PDEs and validated for the problem of laminar flame propagation in an obstacled channel. © 1999 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 15: 449–467, 1999 |