Вычислительная математика
Математика
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Brebbia C.A., Dominguez J. Boundary elements an introductory course
WIT Press, 1998.
ISBN 1853121606(K)(T).
(325s).
Why Boundary Elements?
References.
Basic Concepts.
Fundamental Concepts.
The Poisson's liquation.
Approximate Solutions.
Weighted Residual Techniques.
Weak Formulations.
Boundary and Domain Solutions.
Concluding Remarks.
Exercises.
Potential Problems.
Introduction.
Basic Integral liquation.
The Boundary Element Method.
Computer Code for Potential Problems using Constant Elements (POCONBE).
Linear Elements.
Computer Code for Potential Problems using Linear Elements (POL1NBE).
Discontinuous Elements.
Quadratic and Higher Order Elements.
Computer Code for Potential Problems using Quadratic Elements (POQUABE).
Computer Code for Multiboundary Problems (POMCOBE).
Boundary Elements for Three Dimensional Problems.
Poisson's Equation.
Orlholropy and Anisotropy.
Subregions.
Hclinhollz Equation.
Axisymmctric Formulation.
Indirect Formulation.
Other Approaches for the Treatment of Domain Integrals.
References.
Exercises.
Elastostatics.
Introduction.
Basic Equations of Linear Elastostatics.
Fundamental Solutions.
Boundary Integral Formulation.
Boundary F.lement Formulation.
Treatment of Domain Integrals and Body Force Terms.
Subregions in Plasticity.
Indirect Formulations.
Axisymmetric Problems.
Anisotropic Elasticity.
References.
Exercises.
Two Dimensional RIastostatics.
Introduction.
Plate Stretching - Plane Strain Problems.
Boundary Element Formulation.
Constant Element Formulation.
Elastostatics Code using Constant Elements (ELCONBE).
Linear Elements.
Quadratic Elements.
Elastostatics Code using Quadratic Elements (ELQUABF. ).
Exercises.
Other Interesting Topics.
Introduction.
Combination of Boundary and Finite Elements.
Approximate Boundary Elements.
Singular Elements for Fracture Mechanics.
Steady State Elastodynamics.
References.
Appendix A: Numerical Integration.
Appendix B: Diskette Contents.
Appendix C: References for Further Reading Appendix D: Answers to Selected Exercises.
Subject Index.
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