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Design of adaptive finite element software : the finite element toolbox ALBERTA

Author: Alfred Schmidt; Kunibert G Siebert
Publisher: Berlin ; New York : Springer, 2005.
Series: Lecture notes in computational science and engineering, 42.
Edition/Format:   Print book : CD for computer : Document   Computer File : EnglishView all editions and formats
Summary:

ALBERTA is a toolbox for the fast and flexible implementation of efficient software for real life applications, based on modern algorithms. This book is accompanied by a distribution of ALBERTA  Read more...

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Genre/Form: Programm
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: Alfred Schmidt; Kunibert G Siebert
ISBN: 354022842X 9783540228424
OCLC Number: 148113751
Description: xii, 315 pages : illustrations ; 24 cm + 1 CD-ROM (4 3/4 in.).
Details: System requirements for computer disc: Unix/Linux-based platform; C and FORTRAN compilers installed; Open GL graphics and GNU make.
Contents: Concepts and abstract algorithms --
Mesh refinement and coarsening --
The hierarchical mesh --
Degrees of freedom --
Finite element space and finite element discretization --
Adaptive methods --
Implementation of model problems --
Poisson equation --
Nonlinear reaction-diffusion equation --
Heat equation --
Installation of ALBERTA and file organization --
Date structures and implementation --
Basic types, utilities, and parameter handling --
Data structures for the hierarchical mesh --
Administration of degrees of freedom --
The refinement and coarsening implementation --
Implementation of basis functions --
Implementation of finite element space --
Routines for barycentric coordinates --
Data structures for numerical quadrature --
Functions for the evaluation of finite elements --
Calculation of norms for finite element functions --
Calculation of errors of finite element approximations --
Tools for the assemblage of linear systems --
Data structures and procedures for adaptive methods --
Implementation of error estimators --
Solver for linear and nonlinear systems --
Graphics output.
Series Title: Lecture notes in computational science and engineering, 42.
Responsibility: Alfred Schmidt, Kunibert G. Siebert.
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From the reviews of the first edition: "The authors developed the toolbox ALBERTA to provide routines for most of the tasks one needs to implement finite element algorithms. The modules contained in Read more...

 
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