Boundary Integral Equation Methods for Solids and Fluids

Basic principle and domains of application.

I. BOUNDARY INTEGRAL EQUATIONS FOR STATIC PROBLEMS : Integral Equations and Representations for the Poisson Equation;
Numerical Solution using Boundary Elements;
Integral Equations and Representations for Elastostatics;
Integral Representations of Gradients and Stresses on the Boundary;
Some Classical Mathematical Results

II. BOUNDARY INTEGRAL EQUATIONS FOR WAVE AND EVOLUTION PROBLEMS: Waves and Elastodynamics in Time Domain;
Waves and Elastodynamics in Frequency Domain;
Diffusion, Fluid Flow.

III. ADVANCED TOPICS : Variational Boundary Integral Formulations;
Exploitation of Geometrical Symmetry;
Domain Derivative and Boundary Integral Eequations.

IV. ADDITIONAL TOPICS IN SOLID MECHANICS : Boundary Integral Equations for Cracked Solids;
Initial Strain or Stress: Inclusions, Elastoplasticity.

APPENDICES : Tangential Differential Operators and Integration by Parts;
Interpolation Functions and Numerical Integration. Bibliography. Index.

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• Cálculo integral e equações
• Matemática para cientistas
• Matemática para engenheiros
• Geometria

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