Software considerations for the “black box” solver FIDISOL for partial differential equations

Willi Schönauer, E. Schnepf

Type: Article

Publication Date: 1987-12-01

Citations: 30

DOI: https://doi.org/10.1145/35078.35080

Abstract

FIDISOL is a program package for the solution of nonlinear systems of two-dimensional and three-dimensional elliptic and parabolic partial differential equations (PDEs) with nonlinear boundary conditions (BCs) on the boundaries of a rectangular domain. A finite difference method (FDM) with an arbitrary grid and arbitrary consistency order is used, these are either prescribed by the user or are self-adapted for a given relative tolerance. FIDISOL has been designed to be fully vectorizable on vector computers. In this paper we discuss several problems from the viewpoint of software development and user interface, for example, how to deliver the PDEs and BCs to FIDISOL and how to allow a flexible use by a suitable parameter list.

Locations

ACM Transactions on Mathematical Software - View - PDF

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