Fundamentals of Boundary Element Methods
Published on 19. June 2024
150 pages
979-8-89113-846-9 (ISBN)
Description
The boundary element method is one of the most popular methods of numerical modeling for various problems in mechanics and physics. A big attraction for scientists is the possibility to consider not the region for which a problem needs to be solved but to consider the region's border instead. The boundary element method allows for significant simplification of the decision process, increasing the accuracy and reliability of the results.
More details
Other editions
Additional editions
Olena Sierikova
The Fundamentals of Boundary Element Methods
Book
06/2024
Nova Science Publishers Inc
€126.26
Shipment within 3-4 weeks
Content
- Intro
- Contents
- Preface
- Chapter 1
- Boundary Element Methods for Liquid Hydrocarbon Reservoirs' Vibration Analysis
- Abstract
- Introduction
- Technogenic Impact on Soils
- Technogenic Impact on the Groundwaters
- Atmospheric Air Pollution
- The Effect of Oil on Vegetation
- Construction of Scenarios for the Occurrence and Development of Emergency Situations Leading to the Death of People
- Literature Review
- Research Methods
- Discussion
- Outcomes
- References
- Chapter 2
- Boundary and Finite Element Methods in Nanocomposites Effective Elastic Characteristics Estimation
- Abstract
- Introduction
- Methodology
- Basic Relations
- Classical and Nonclassical Boundary Conditions
- Boundary Element Method Implementation
- Numerical Results and Discussion
- Conclusion and Further Research
- Acknowledgment
- References
- Chapter 3
- Boundary Element Methods in One-Dimensional Singular Integral Equations
- Abstract
- Introduction
- Methodology
- Benchmark Equation for Boundary Element Methods in 2D Problems
- Boundary Elements with Constant Density
- Linear Boundary Elements
- Quadratic Boundary Elements
- Cubic Boundary Elements
- Numerical Results and Discussion
- Conclusions and Further Research
- Acknowledgment
- References
- Chapter 4
- Boundary Element Methods for Hypersingular Integral Equations Over Circular Domains
- Abstract
- Introduction
- Methodology
- Problem Statement
- One-Dimensional Hypersingular Integral Equations
- Two-Dimensional Hypersingular Integral Equations
- Reducing Two-Dimensional Hypersingular Integral Equation to One-Dimensional for Circles
- Numerical Results and Discussion
- Conclusion and Further Research
- Acknowledgment
- References
- Chapter 5
- Boundary Element Method Testing for Axially-Symmetrical Problems
- Abstract
- Introduction
- Methodology
- Determination of Vibrations Frequencies and Modes of a Rotation Shell in Vacuum
- Determination of Liquid Pressure on the Shell
- Because the S1 Is the Shell of Rotation, Then the Function W Will Be Represented As
- Results and Discussion
- Conclusion and Further Research
- Acknowledgment
- References
- Chapter 6
- Construction of Fundamental Solution of {1,2}-Approximation Static Equations of Momentless Stress State for Transversely-Isotropic Plates
- Abstract
- Introduction
- Literature Review
- Purpose and Study Objectives
- Materials and Methods
- Basic Correlations and Mathematical Formulation of the Problem
- Research Method Statement
- Research Results and Discussion
- Outcomes
- References
- Chapter 7
- Boundary Element Method in Hydroelastic Interaction Problems of Structural Elements
- Abstract
- Introduction
- Research Methods
- Testing the Deterministic Method
- Computer Simulation of Structure Forced Oscillations under the Condition of Vague Assignment of Load Parameters
- Outcomes
- References
- Index
- Blank Page
