Precursors of Isogeometric Analysis : Finite Elements, Boundary Elements, and Collocation Methods
Provatidis, Christopher G.
Precursors of Isogeometric Analysis : Finite Elements, Boundary Elements, and Collocation Methods by Christopher G. Provatidis. - 1 recurso en línea (XX, 587 páginas) 255 ilustraciones, 150 ilustraciones a color - Engineering (Springer-11647) Solid Mechanics and Its Applications 256 0925-0042 .
1 Initial Attempts on CAD/CAE Integration -- 2 Elements of Arroximation and Computational Geometry -- 3 Coons Interpolation as a Vehicle to Derive Isoparametric Elements -- 4 Gordon's Transfinite Macroelements -- 5 Barnhill Interpolation and Relevant Isoparametric Elements -- 6 Bezier Interpolation and Relevant Isoparametric Elements -- 7: B-Splines Interpolation and Relevant Isoparametric Elements -- 8 Rational B-Spline (Nurbs-Based) Macroelements -- 9 Plate Bending Macroelements -- 10: Three-dimensional macroelements -- 11 Global Collocation Using Macroelements -- 12 Global Boundary Elements Using Macroelements -- 13 Mortality Issues -- 14 Global Review-Epilogue -- Appendix A: Green's Theorem -- Appendix B: Numerical Integration -- Appendix C: Chebyshev Polynomials.
This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE. It includes applications to a broad spectrum of engineering (benchmark) application problems, such as elasto-statics/dynamics and potential problems (thermal, acoustics, electrostatics). It also provides a large number of test cases, with full documentation of original sources, making it a valuable resource for any student or researcher in FEA-related areas. The book, which assumes readers have a basic knowledge of FEA, can be used as additional reading for engineering courses as well as for other interdepartmental MSc courses.
9783030038892
10.1007/978-3-030-03889-2 doi
Método de elementos finitos
Análisis numérico
TA347.F5 / 2019 EB
Precursors of Isogeometric Analysis : Finite Elements, Boundary Elements, and Collocation Methods by Christopher G. Provatidis. - 1 recurso en línea (XX, 587 páginas) 255 ilustraciones, 150 ilustraciones a color - Engineering (Springer-11647) Solid Mechanics and Its Applications 256 0925-0042 .
1 Initial Attempts on CAD/CAE Integration -- 2 Elements of Arroximation and Computational Geometry -- 3 Coons Interpolation as a Vehicle to Derive Isoparametric Elements -- 4 Gordon's Transfinite Macroelements -- 5 Barnhill Interpolation and Relevant Isoparametric Elements -- 6 Bezier Interpolation and Relevant Isoparametric Elements -- 7: B-Splines Interpolation and Relevant Isoparametric Elements -- 8 Rational B-Spline (Nurbs-Based) Macroelements -- 9 Plate Bending Macroelements -- 10: Three-dimensional macroelements -- 11 Global Collocation Using Macroelements -- 12 Global Boundary Elements Using Macroelements -- 13 Mortality Issues -- 14 Global Review-Epilogue -- Appendix A: Green's Theorem -- Appendix B: Numerical Integration -- Appendix C: Chebyshev Polynomials.
This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE. It includes applications to a broad spectrum of engineering (benchmark) application problems, such as elasto-statics/dynamics and potential problems (thermal, acoustics, electrostatics). It also provides a large number of test cases, with full documentation of original sources, making it a valuable resource for any student or researcher in FEA-related areas. The book, which assumes readers have a basic knowledge of FEA, can be used as additional reading for engineering courses as well as for other interdepartmental MSc courses.
9783030038892
10.1007/978-3-030-03889-2 doi
Método de elementos finitos
Análisis numérico
TA347.F5 / 2019 EB