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Digitaalõiguste kaitse (DRM)
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Introduction | |
Historical Background | |
What is BEM ? | |
Boundary Elements | |
Mathematical Preliminaries | |
Results from Calculus | |
Interpolation Functions | |
Distributions | |
Boundary Conditions | |
Dirac Delta Function | |
Fourier Series | |
Problems | |
References and Bibliography | |
Variation and Weighted Residual Methods | |
Weak Variational Formulation | |
Galerkin Method | |
Rayleigh-Ritz Method | |
Choice of Test Functions | |
Problems | |
References and Bibliography | |
One-Dimensional Problems | |
Potential Flow | |
Bending of an Elastic Beam | |
Problems | |
References and Bibliography | |
Fundamental Solutions | |
Eigenpairs and Dirac Delta Function | |
Green's Functions | |
Fundamental Solutions on a Finite Domain | |
Fundamental Solution on an Infinite Domain | |
References and Bibliography | |
Potential Problems | |
Laplace Equation | |
Boundary Elements | |
Constant Elements: Subroutine Be1 | |
Linear Eelements | |
Discontinuous Elements: Subroutine Be2 | |
Quadratic and Higher Elements | |
Poisson Equation | |
Non-Convex Surfaces:Subroutine Be5 | |
Domain Integral | |
Unbounded Regions | |
Mixed Boundary Conditions | |
Indirect Method | |
Problems | |
References and Bibliography | |
Linear Elasticity | |
Basic Relations | |
Virtual Work | |
Somigliana Identity | |
Boundary Integral Equation | |
Derivation of BE Equation:Subroutine Bell | |
Torsion of a Cylindrical Bar | |
Three-Dimensional Medium | |
Axisymmetric Problems | |
Problems | |
References and Bibliography | |
Ocean Acoustics and Helmholtz Equation | |
Water Waves | |
Simple Amplitude Wave Theory | |
Helmholtz Equation | |
BEM:Helmholtz Equation | |
Underwater Acoustic Scattering | |
The CHIEF Algorithm | |
Some Structure Types | |
Problems | |
References and Bibliography | |
Some Fluid Flows and D'Arcy Equation | |
Aerodynamic Flows | |
Navier-Strokes Equation | |
Porous Media Flows | |
Steady-state Groundwater Flows | |
Anisotropic Porous Media | |
Flows with Singularities | |
Problems | |
References and Bibliography | |
Domain Integrals | |
Dual Reciprocity Method | |
Fourier Series Method | |
Multiple Reciprocity Method | |
Problems | |
References and Bibliography | |
Transient Problems | |
Transient Fourier Equation | |
Forward Time Marching Process | |
Laplace Transform BEM | |
Transient DRM | |
Transient MRM | |
Problems | |
References and Bibliography | |
Variational Calculus | |
Line Integrals | |
Variational Notation | |
Multiple Integrals | |
Problems | |
References and Bibliography | |
Potential Theory | |
Electrostatic Potential | |
Dirichlet Problems | |
Neumann Problems | |
References and Bibliography | |
Gauss Quadrature | |
One-Dimensional Gauss Quadrature | |
One-Dimensional Logarithmic Gauss Quadrature | |
Two-Dimensional Gauss Quadrature Formula | |
References and Bibliography | |
Software Development | |
Answers to Selected Problems | |
Index |