@Article{GomesDomiMendSchn:2021:AdTwTh,
               author = "Gomes, Anna Karina Fontes and Domingues, Margarete Oliveira and 
                         Mendes, Odim and Schneider, Kai",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)} and {Aix-Marseille Universit{\'e} 
                         (CNRS)}",
                title = "Adaptive two- and three-dimensional multiresolution computations 
                         of resistive magnetohydrodynamics",
              journal = "Advances in Computational Mathematics",
                 year = "2021",
               volume = "47",
                pages = "e22",
             abstract = "Fully adaptive computations of the resistive magnetohydrodynamic 
                         (MHD) equations are presented in two and three space dimensions 
                         using a finite volume discretization on locally refined dyadic 
                         grids. Divergence cleaning is used to control the 
                         incompressibility constraint of the magnetic field. For automatic 
                         grid adaptation a cell-averaged multiresolution analysis is 
                         applied which guarantees the precision of the adaptive 
                         computations, while reducing CPU time and memory requirements. 
                         Implementation issues of the open source code CARMEN-MHD are 
                         discussed. To illustrate its precision and efficiency different 
                         benchmark computations including shock-cloud interaction and 
                         magnetic reconnection are presented.",
                  doi = "10.1007/s10444-021-09845-y",
                  url = "http://dx.doi.org/10.1007/s10444-021-09845-y",
                 issn = "1019-7168",
             language = "en",
           targetfile = "gomes_adaptive.pdf",
        urlaccessdate = "11 maio 2024"
}