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Fourier BEM [Generalization...
Like FEM, the boundary element method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. Nevertheless, they still demand an explicit expression of a fundamental solution, which is only known in simple cases. Therefore, the present book proposes an alternative BEM-formulation based on the Fourier transform, which can be applied to almost all cases relevant in engineering mechanics. The basic principle is presented for the heat equation. Applications are taken from solid mechanics (e.g. poroelasticity, thermoelasticity). Transient and stationary examples are given as well as linear and nonlinear. Completed with a mathematical and mechanical glossary, the book will serve as a comprehensive text book linking applied mathematics to real world engineering problems
Monografía
monografia Rebiun24553632 https://catalogo.rebiun.org/rebiun/record/Rebiun24553632 130626s2002 gw s 00 0 eng d 9783540456261 9783642077272 9783540431381 9783642536489 UMA.RE 517.4 517.9 Duddeck, Fabian M.E. aut. http://id.loc.gov/vocabulary/relators/aut Fourier BEM Recurso electrónico] Generalization of Boundary Element Methods by Fourier Transform by Fabian M.E. Duddeck 1st ed. 2002 Berlin, Heidelberg Springer Berlin Heidelberg 2002 Berlin, Heidelberg Berlin, Heidelberg Springer Berlin Heidelberg II, 182 p II, 182 p Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Lecture notes in applied mechanics 5 Lecture Notes in Applied and Computational Mechanics 5 Like FEM, the boundary element method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. Nevertheless, they still demand an explicit expression of a fundamental solution, which is only known in simple cases. Therefore, the present book proposes an alternative BEM-formulation based on the Fourier transform, which can be applied to almost all cases relevant in engineering mechanics. The basic principle is presented for the heat equation. Applications are taken from solid mechanics (e.g. poroelasticity, thermoelasticity). Transient and stationary examples are given as well as linear and nonlinear. Completed with a mathematical and mechanical glossary, the book will serve as a comprehensive text book linking applied mathematics to real world engineering problems Fourier, Análisis de Ecuaciones integrales Global analysis (Mathematics) Fourier analysis Mechanics, applied Engineering Numerical analysis Computer simulation Analysis Fourier Analysis Theoretical and Applied Mechanics Computational Intelligence Numerical Analysis Simulation and Modeling