Inside the Library: SolverUtils

In this chapter, we walk the reader through the different components of the SolverUtils Directory. We begin with a discussion of the mathematical fundamentals, for which we use the book by Karniadakis and Sherwin [44] as our principle reference. We then provide the reader with an overview of the primary data structures introduced within the SolverUtils Directory (often done through C++ objects), and then present the major algorithms – expressed as either object methods or functions – employed over these data structures.

9.3 The Fundamental Algorithms within MultiRegions

9.4 Preconditioners

9.4.1 Mathematical formulation

9.4.2 Preconditioners

9.4.3 Low energy

9.4 Preconditioners

9.4.1 Mathematical formulation

9.4.2 Preconditioners

9.4.3 Low energy