05895497

j

05895497 Archibald, Rick Fann, George Shelton, William Adaptive discontinuous Galerkin methods in multiwavelets bases. Appl. Numer. Math. 61, No. 7, 879-890 (2011). 2011 Elsevier Science B.V. (North-Holland), Amsterdam; International Association for Mathematics and Computers in Simulation (IMACS), New Brunswick, NJ EN multiwavelets discontinuous Galerkin method numerical examples multi-scale method convection-diffusion problems non-linear equations

doi:10.1016/j.apnum.2011.02.005

Summary: We use a multiwavelet basis with the discontinuous Galerkin (DG) method to produce a multi-scale method. We apply this multiwavelet DG method to convection and convection-diffusion problems in multiple dimensions. Merging the DG method with multiwavelets allows the adaptivity in the DG method to be resolved through manipulation of multiwavelet coefficients rather than grid manipulation. Additionally, the multiwavelet DG method is tested on non-linear equations in one dimension and on the cubed sphere.