@Article{CiCP-1-930, author = {}, title = {Moving Mesh Method with Conservative Interpolation Based on L^2-Projection}, journal = {Communications in Computational Physics}, year = {2006}, volume = {1}, number = {5}, pages = {930--944}, abstract = {

We develop an efficient one-dimensional moving mesh algorithm for solving partial differential equations. The main contribution of this paper is to design an effective interpolation scheme based on L2-projection for the moving mesh method. The proposed method preserves not only the mass-conservation but also the first order momentum of the underlying numerical solution at each mesh redistribution step. Numerical examples are presented to demonstrate the effectiveness of the new interpolation technique.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7988.html} }