Space Decompositions and Solvers for Discontinuous Galerkin Methods

TL;DR

This paper reviews domain and space decomposition techniques for discontinuous Galerkin methods, highlighting their unique features and differences from conforming methods, to aid in developing efficient solvers.

Contribution

It provides a comprehensive overview of decomposition techniques specific to DG methods, emphasizing novel aspects and their relation to conforming approaches.

Findings

Highlights unique features of DG decompositions

Connects DG techniques with conforming methods

Provides insights into solver development for DG

Abstract

We present a brief overview of the different domain and space decomposition techniques that enter in developing and analyzing solvers for discontinuous Galerkin methods. Emphasis is given to the novel and distinct features that arise when considering DG discretizations over conforming methods. Connections and differences with the conforming approaches are emphasized.