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

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 c...

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Bibliographic Details
Main Authors: Gerhard, N. (Author), Müller, S. (Author), Sikstel, A. (Author)
Format: Article
Language:English
Published: Springer 2022
Subjects:
Online Access:View Fulltext in Publisher
LEADER 01465nam a2200217Ia 4500
001 10.1007-s42967-020-00101-6
008 220630s2022 CNT 000 0 und d
020 |a 20966385 (ISSN) 
245 1 0 |a A Wavelet-Free Approach for Multiresolution-Based Grid Adaptation for Conservation Laws 
260 0 |b Springer  |c 2022 
520 3 |a 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. © 2021, The Author(s). 
650 0 4 |a Conservation laws 
650 0 4 |a Discontinuous Galerkin 
650 0 4 |a Grid adaptivity 
650 0 4 |a Multiresolution analysis 
650 0 4 |a Multiwavelets 
700 1 0 |a Gerhard, N.  |e author 
700 1 0 |a Müller, S.  |e author 
700 1 0 |a Sikstel, A.  |e author 
773 |t Communications on Applied Mathematics and Computation 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1007/s42967-020-00101-6