Practical Fourier analysis for multigrid methods. (©2005)

• Record Type: Book
• Further Information: Note: Roman Wienands, Wolfgang Joppich.
• Other Names: Wienands, R (Roman); Joppich, W (Wolfgang), 1950-
• Contents: PRACTICAL APPLICATION OF LFA AND xlfa; Introduction; Some Notation; Basic Iterative Schemes; A First Discussion of Fourier Components; From Residual Correction to Coarse-Grid Correction; Multigrid Principle and Components; A First Look at the Graphical User Interface; ; Main Features of Local Fourier Analysis for Multigrid; The Power of Local Fourier Analysis; Basic Ideas; Applicability of the Analysis; ; Multigrid and Its Components in LFA; Multigrid Cycling; Full Multigrid; xlfa Functionality-An Overview; Implemented Coarse-Grid Correction Components; Implemented Relaxations; ; Using the Fourier Analysis Software; Case Studies for 2D Scalar Problems; Case Studies for 3D Scalar Problems; Case Studies for 2D SYSTEMS of Equations; Creating New Applications; ; THE THEORY BEHIND LFA; Fourier One-Grid or Smoothing Analysis; Elements of Local Fourier Analysis; High and Low Fourier Frequencies; Simple Relaxation Methods; Pattern Relaxations; Smoothing Analysis for Systems; Multistage (MS) Relaxations; Further Relaxation Methods; The Measure of h-Ellipticity; ; Fourier Two- and Three-Grid Analysis; Basic Assumptions; Two-Grid Analysis for 2D Scalar Problems; Two-Grid Analysis for 3D Scalar Problems; Two-Grid Analysis for Systems; Three-Grid Analysis; ; Further Applications of Local Fourier Analysis; Orders of Transfer Operators; Simplified Fourier k-Grid Analysis; Cell-Centered Multigrid; Fourier Analysis for Multigrid Preconditioned by GMRES; ; APPENDIX; Fourier Representation of Relaxation; Two-Dimensional Case; Three-Dimensional Case
• Publisher Details: Boca Raton, FL : Chapman & Hall/CRC
• Publication Date: 2005
• Copyright Date: 2005
• Extent: 1 online resource (217 pages), illustrations
• Subjects: 515/.2433; Fourier analysis; Multigrid methods (Numerical analysis); Fourier, Analyse de; Méthodes multigrilles (Analyse numérique); MATHEMATICS -- Infinity; Fourier analysis; Multigrid methods (Numerical analysis); Electronic books
• Languages: English
• ISBNs: 1584884924; 9781584884927; 1420034995; 9781420034998
• Notes: Note: Includes bibliographical references (pages 207-212) and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.