Title
Life: overview of a unified C++ implementation of the finite and spectral element methods in 1D, 2D and 3D
Abstract
This article presents an overview of a unified framework for finite element and spectral element methods in 1D, 2D and 3D in C++ called Life. The objectives of this framework are quite ambitious and could be expressed in various ways: (i) the creation of a versatile mathematical kernel allowing for easily solving problems using different techniques thus allowing testing and comparing methods, e.g. cG versus dG, (ii) the creation of a small and manageable library which shall nevertheless encompass a wide range of numerical methods and techniques, and (iii) build mathematical software that follows closely the mathematical abstractions associated with the partial differential equations to be solved.
Year
DOI
Venue
2006
10.1007/978-3-540-75755-9_87
PARA
Keywords
Field
DocType
different technique,numerical method,spectral element method,finite element,mathematical software,unified framework,unified c,partial differential equation,manageable library,versatile mathematical kernel,mathematical abstraction,comparative method
Discontinuous Galerkin method,Computer science,Numerical partial differential equations,Finite element method,Theoretical computer science,Mathematical software,Spectral method,hp-FEM,Spectral element method,Mixed finite element method
Conference
Volume
ISSN
ISBN
4699
0302-9743
3-540-75754-6
Citations 
PageRank 
References 
5
0.81
5
Authors
1
Name
Order
Citations
PageRank
Christophe Prud'homme1475.21