Analysis, Approximation, and Computation of a Coupled Solid/Fluid Temperature Control Problem

Analysis, Approximation, and Computation of a Coupled Solid/Fluid Temperature Control Problem
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
Total Pages: 36
Release: 2018-06-30
Genre:
ISBN: 9781722090760

An optimization problem is formulated motivated by the desire to remove temperature peaks, i.e., 'hot spots', along the bounding surfaces of containers of fluid flows. The heat equation of the solid container is coupled to the energy equations for the fluid. Heat sources can be located in the solid body, the fluid, or both. Control is effected by adjustments to the temperature of the fluid at the inflow boundary. Both mathematical analyses and computational experiments are given. Gunzburger, Max D. and Lee, Hyung C. Glenn Research Center N00014-91-J-1493; AF-AFOSR-0179-90; AF-AFOSR-0061-93; NCC3-233...

Frontiers of Numerical Analysis

Frontiers of Numerical Analysis
Author: James Blowey
Publisher: Springer Science & Business Media
Total Pages: 273
Release: 2006-03-30
Genre: Computers
ISBN: 3540288848

Contains lecture notes on four topics at the forefront of research in computational mathematics. This book presents a self-contained guide to a research area, an extensive bibliography, and proofs of the key results. It is suitable for professional mathematicians who require an accurate account of research in areas parallel to their own.

Flow Control

Flow Control
Author: Mohamed Gad-el-Hak
Publisher: Springer Science & Business Media
Total Pages: 533
Release: 2003-07-01
Genre: Science
ISBN: 3540696725

No be certain it can is not based mathematics. knowledge if upon da Vinci, (Leonardo 1452 1519) the humankind. Thinking is one greatest of Joys of Galilei, (Galileo 1564 1642) Now I think is to be the root all hydrodynamics and is at of physical science, second the to none in its mathematics. present beauty of Thomson (William (Lord Kelvin), 1824 1907) The book contains the lecture notes of of the nine instructors at present eight the short Flow Control: Fundamentals and which held course was Practices, in the week 24 28 June and Carg6se, Corsica, France, during 1996, repeated at the of Notre 9 13 1996. University Dame, Indiana, September Following the week in the course a on same was held. Corsica, 5 day workshop topic Selected from the scheduled to 1998 workshop are papers appear early special volume of the International Journal Heat Thermo of Experimental Transfer, and Fluid All Mechanics. three events were Jean Paul dynamics, organized by Bonnet of Universit6 de Andrew Pollard of Univer Poitiers, France, Queen's at and Mohamed Gad el Hak of the of sity Kingston, Canada, University Notre U.S.A.

Perspectives in Flow Control and Optimization

Perspectives in Flow Control and Optimization
Author: Max D. Gunzburger
Publisher: SIAM
Total Pages: 273
Release: 2003-01-01
Genre: Science
ISBN: 089871527X

Introduces several approaches for solving flow control and optimization problems through the use of modern methods.

Wavelet Methods — Elliptic Boundary Value Problems and Control Problems

Wavelet Methods — Elliptic Boundary Value Problems and Control Problems
Author: Angela Kunoth
Publisher: Springer Science & Business Media
Total Pages: 150
Release: 2012-12-06
Genre: Mathematics
ISBN: 332280027X

Diese Monographie spannt einen Bogen rund um die aktuelle Thematik Wavelets, um neueste Entwicklungen anhand aufeinander aufbauender Probleme darzustellen und das konzeptuelle Potenzial von Waveletmethoden für Partielle Differentialgleichungen zu demonstrieren.

Splines and PDEs: From Approximation Theory to Numerical Linear Algebra

Splines and PDEs: From Approximation Theory to Numerical Linear Algebra
Author: Angela Kunoth
Publisher: Springer
Total Pages: 325
Release: 2018-09-20
Genre: Mathematics
ISBN: 331994911X

This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods. A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. More precisely, the book provides (i) a self-contained introduction to B-splines, with special focus on approximation and hierarchical refinement, (ii) a broad survey of numerical schemes for control problems based on B-splines and B-spline-type wavelets, (iii) an exhaustive description of methods for computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed overview of the mathematical and implementational aspects of isogeometric analysis. The text is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four prominent lecturers with different theoretical and application perspectives. The book may serve both as a reference and an entry point into further research.