Discretization

0Citations
Citations of this article
3Readers
Mendeley users who have this article in their library.
Get full text

Abstract

This chapter is devoted to discretization techniques. We start with basic methods for the discretization in time. Besides simple time stepping schemes, we will discuss Galerkin time discretization methods. They have a similar structure to the finite element discretization used in space and they are well suited for adaptivity and optimization problems. After an introduction to the fundamental schemes for parabolic equations, we put the focus on the special needs of temporal discretization methods in fluid mechanics. We continue with the introduction of the finite element methods for spatial discretization. Again, we start by presenting the fundamentals before putting spacial attention to saddle point problems and the nonlinear Navier-Stokes equations. Finally, to prepare the necessary tools for an application to fluid-structure interactions, we discuss interface problems, where the solution of exhibits limited regularity along an internal interface boundary.

Cite

CITATION STYLE

APA

Richter, T. (2017). Discretization. In Lecture Notes in Computational Science and Engineering (Vol. 118, pp. 117–199). Springer Verlag. https://doi.org/10.1007/978-3-319-63970-3_4

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free