Open AccessAMRNodeElliptic user guide: On irregular problem domains
Author(s) -
Peter McCorquodale
Publication year - 2003
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/820266
Subject(s) - subroutine , computer science , node (physics) , class (philosophy) , boundary (topology) , extension (predicate logic) , operator (biology) , programming language , computational science , theoretical computer science , algebra over a field , mathematics , pure mathematics , engineering , mathematical analysis , artificial intelligence , structural engineering , biochemistry , gene , repressor , transcription factor , chemistry
This document describes an extension to the Chombo package [CGL+00] for solving elliptic equations using adaptive mesh refinement on multiple levels with node-centered data on non-rectangular domains. See the AMRNodeElliptic design document [McC02] for a description of the algorithms used. Chapter 2 describes the subroutines that the user must supply to describe the geometry and the operator. Chapter 3 describes the class NodeFArrayBox and functions that use this class to manipulate node-centered data. Interfaces for elliptic equation solvers are described in chapter 4. Some internal classes of the solvers are described in chapter 5. User interfaces for physical boundary conditions are described in chapter 6. The AMRNodeElliptic package requires that Chombo library be installed. See chapter 1 of the Chombo design document [CGL+00] for requirements and installation of Chombo
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