Lecture Notes in Computational Science and Engineering : Lecture Notes in Computational Science and Engineering - Barbara I. Wohlmuth

Instant online reading.
Don't wait for delivery!

Lecture Notes in Computational Science and Engineering

By: Barbara I. Wohlmuth

Write A Review

Paperback | 27 February 2001

At a Glance

Paperback
216 Pages

Dimensions(cm)
22.86 x 15.24 x 0.64

Paperback

$84.99

or 4 interest-free payments of $21.25 with

Ships in 5 to 7 business days

Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Applied Mathematics Medicine Medicine in General Probability & Statistics Numerical Analysis Computing & I.T.Databases Data Capture & Analysis

Computer Science Artificial Intelligence Engineering & Technology Technology in General Engineering in General Electronics & Communications Engineering Electronics Engineering

Preface	p. v
Discretization Techniques Based on Domain Decomposition	p. 1
Introduction to Mortar Finite Element Methods	p. 3
Mortar Methods with Alternative Lagrange Multiplier Spaces	p. 11
An Approximation Property	p. 15
The Consistency Error	p. 19
Discrete Inf-sup Conditions	p. 24
Examples of Lagrange Multiplier Spaces	p. 27
The First Order Case in 2D	p. 29
The First Order Case in 3D	p. 33
The Second Order Case in 2D	p. 36
Discretization Techniques Based on the Product Space	p. 37
A Dirichlet{Neumann Formulation	p. 40
Variational Formulations	p. 43
Algebraic Formulations	p. 47
Examples for Special Mortar Finite Element Discretizations	p. 50
The Coupling of Primal and Dual Finite Elements	p. 51
An Equivalent Nonconforming Formulation	p. 54
Crouzeix{Raviart Finite Elements	p. 58
Numerical Results	p. 61
In uence of the Lagrange Multiplier Spaces	p. 64
A Non-optimal Mortar Method	p. 71
In uence of the Choice of the Mortar Side	p. 74
In uence of the Jump of the CoeÆcients	p. 83
Iterative Solvers Based on Domain Decomposition	p. 85
Abstract Schwarz Theory	p. 87
Additive Schwarz Methods	p. 88
Multiplicative Schwarz Methods	p. 95
Multigrid Methods	p. 97
Vector Field Discretizations	p. 99
Raviart{Thomas Finite Elements	p. 101
An Iterative Substructuring Method	p. 103
An Interpolation Operator onto VH	p. 105
An Extension Operator onto VF	p. 107
Quasi-optimal Bounds	p. 113
A Hierarchical Basis Method	p. 114
Horizontal Decomposition	p. 115
Vertical Decomposition	p. 118
Numerical Results	p. 121
The 2D Case	p. 122
The 3D Case	p. 123
A Multigrid Method for the Mortar Product Space Formulation	p. 125
Bilinear Forms	p. 126
An Approximation Property	p. 129
Smoothing and Stability Properties	p. 131
Implementation of the Smoothing Step	p. 136
Numerical Results in 2D and 3D	p. 137
Extensions to Linear Elasticity	p. 142
Uniform Ellipticity	p. 145
Numerical Results	p. 149
A Weaker Interface Condition	p. 151
A Dirichlet{Neumann Type Method	p. 155
The Algorithm	p. 155
Numerical Results	p. 158
A Multigrid Method for the Mortar Saddle Point Formulation	p. 162
An Approximation Property	p. 164
Smoothing and Stability Properties	p. 167
A Block Diagonal Smoother	p. 168
An Inde nite Smoother	p. 171
Numerical Results	p. 174
Bibliography	p. 177
List of Figures	p. 187
List of Tables	p. 189
Notations	p. 191
Index	p. 195
Table of Contents provided by Publisher. All Rights Reserved.

Lecture Notes in Computational Science and Engineering

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Artificial Intelligence

Empire of AI

Inside the reckless race for total domination

How to Talk to AI

(And How Not To)

The New Age of Sexism

How the AI Revolution is Reinventing Misogyny

Nexus

A Brief History of Information Networks from the Stone Age to AI

If Anyone Builds It, Everyone Dies

The Case Against Superintelligent AI

We Are As Gods

A Survival Guide for the Age of Abundance

God, AI and the End of History

Understanding the Book of Revelation in an Age of Intelligent Machines

AI in Legal Tech

How Generative AI Is Transforming Legal Technology and the Practice of Law

How We Learn

The New Science of Education and the Brain

What Every Cybersecurity Professional Must Master

The Accidental Architect

How I Built an AI-Powered IT Operation with No Code, No Budget, and No Idea What I Was Doing

The AI-Driven Leader

Harnessing AI to Make Faster, Smarter Decisions

AI and Data Science in Medical Research

New Developments and Advances

Control, Robotics and Sensors

Design, Control and Applications

Thinking AI

How Artificial Intelligence Emulates Human Understanding

Artificial Intelligence Driven Forensics

Signals and Communication Technology

AI for Good

How Real People Are Using Artificial Intelligence to Fix Things That Matter

Recent Advances in Information Systems

Proceedings of the ICRAIS, Pointe aux Piments, Mauritius, 10-12 September 2025

Sixth Congress on Intelligent Systems

CIS 2025, Volume 6

Statistical Atlases and Computational Models of the Heart. Regular and CMRxRecon Challenge Papers

16th International Workshop, STACOM 2025, Held in Conjunction with MICCAI 2025, Daejeon, South Korea, September 27, 2025, Revised Selected Papers

Trends in Advanced Unmanned Aerial Systems

Selected Contributions of ICAUAS 2025

XR and Metaverse

Proceedings of the 10th International XR-Metaverse Conference 2025, Maastricht, The Netherlands

Proceedings of the 3rd International Conference on Big Data, IoT and Machine Learning

BIM 2025, Volume 2

Deceptive Intelligence

AI, Social Engineering, and Securing the Human Element

This product is categorised by