Boundary Integral Equations in Elasticity Theory
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Beschreibung
Preface. Preface; Z. Olesiak. Introduction.
Part I: Method of Potentials.
1. Real Potentials of Elasticity Theory. 2. Singular Solutions and Potentials in Complex Form. 3. Complex Integral Equations of the Indirect Approach. 4. Complex Integral Equations of the Direct Approach.
Part II: Methods Based on the Theory by Kolosov-Muskhelishvili.
5. Functions of Kolosov-Muskhelishvili and Holomorphicity Theorems. 6. Complex Variable Integral Equations. 7. Periodic Problems. 8. Doubly Periodic Problems. 9. Problems for Bonded Half-Planes and Circular Inclusion.
Part III: Theory of Complex Integral Equations.
10. Complex Hypersingular and Finite-Part Integrals. 11. Complex Variable Hypersingular Equations (CVH-BIE).
Part IV: Numerical Solution of Complex Variable Boundary Integral Equations.
12. Complex Variable Boundary Element Method (CV-BEM). 13. Numerical Experiments Using CV-BEM. 14. Complex Variable Method of Mechanical Quadratures (CV-MMQ).
Index. References.
Part I: Method of Potentials.
1. Real Potentials of Elasticity Theory. 2. Singular Solutions and Potentials in Complex Form. 3. Complex Integral Equations of the Indirect Approach. 4. Complex Integral Equations of the Direct Approach.
Part II: Methods Based on the Theory by Kolosov-Muskhelishvili.
5. Functions of Kolosov-Muskhelishvili and Holomorphicity Theorems. 6. Complex Variable Integral Equations. 7. Periodic Problems. 8. Doubly Periodic Problems. 9. Problems for Bonded Half-Planes and Circular Inclusion.
Part III: Theory of Complex Integral Equations.
10. Complex Hypersingular and Finite-Part Integrals. 11. Complex Variable Hypersingular Equations (CVH-BIE).
Part IV: Numerical Solution of Complex Variable Boundary Integral Equations.
12. Complex Variable Boundary Element Method (CV-BEM). 13. Numerical Experiments Using CV-BEM. 14. Complex Variable Method of Mechanical Quadratures (CV-MMQ).
Index. References.
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