A Wavelet-Free Approach for Multiresolution-Based Grid Adaptation for Conservation Laws  

作　　者：Nils Gerhard Siegfried Müller Aleksey Sikstel 

机构地区：[1]Institut für Geometrie und Praktische Mathematik,RWTH Aachen,Templergraben 55,Aachen 52056,Germany

出　　处：《Communications on Applied Mathematics and Computation》2022年第1期108-142,共35页应用数学与计算数学学报（英文）

摘　　要：In recent years the concept of multiresolution-based adaptive discontinuous Galerkin(DG)schemes for hyperbolic conservation laws has been developed.The key idea is to perform a multiresolution analysis of the DG solution using multiwavelets defined on a hierarchy of nested grids.Typically this concept is applied to dyadic grid hierarchies where the explicit construction of the multiwavelets has to be performed only for one reference element.For non-uniform grid hierarchies multiwavelets have to be constructed for each element and,thus,becomes extremely expensive.To overcome this problem a multiresolution analysis is developed that avoids the explicit construction of multiwavelets.

关 键 词：Discontinuous Galerkin Grid adaptivity MULTIWAVELETS Multiresolution analysis Conservation laws 

分 类 号：O17[理学—数学]