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Unified Framework for . . .
BibTeX
@MISC{Alnæs_unifiedframework,
author = {M. S. Alnæs and A. Logg and K.-A. Mardal and O. Skavhaug and H. P. Langtangen},
title = {Unified Framework for . . . },
year = {}
}
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Abstract
Over the last fifty years, the finite element method has emerged as a successful methodology for solving a wide range of partial differential equations. At the heart of any finite element simulation is the assembly of matrices and vectors from finite element variational forms. In this paper, we present a general and unified framework for finite element assembly. Based on this framework, we propose a specific software interface (UFC) between problem-specific and general-purpose components of finite element programs. The interface is general in the sense that it applies to a wide range of finite element problems (including mixed finite elements and discontinuous Galerkin methods) and may be used with libraries that differ widely in their design. The interface consists of a minimal set of abstract C++ classes and data transfer is via plain C arrays. We discuss how one may use the UFC interface to build a plug-and-play system for finite element simulation where basic components such as computational meshes, linear algebra and, in particular, variational form evaluation may come from different libraries and be used interchangeably. We further discuss how the UFC interface is used to glue
Keyphrases
ufc interface finite element simulation wide range basic component minimal set partial differential equation different library finite element method discontinuous galerkin method mixed finite element abstract class specific software interface plug-and-play system finite element variational form computational mesh data transfer variational form evaluation successful methodology finite element problem finite element program general-purpose component linear algebra last fifty year finite element assembly unified framework
