Provatidis, Christopher G.
Precursors of Isogeometric Analysis Finite Elements, Boundary Elements, and Collocation Methods / [electronic resource] : by Christopher G. Provatidis. - 1st ed. 2019. - XX, 587 p. 255 illus., 150 illus. in color. online resource. - Solid Mechanics and Its Applications, 256 2214-7764 ; . - Solid Mechanics and Its Applications, 256 .
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
Mechanics, Applied.
Solids.
Differential equations.
Mathematics—Data processing.
Mathematical physics.
Solid Mechanics.
Differential Equations.
Computational Science and Engineering.
Mathematical Physics.
TA349-359
620.105
Precursors of Isogeometric Analysis Finite Elements, Boundary Elements, and Collocation Methods / [electronic resource] : by Christopher G. Provatidis. - 1st ed. 2019. - XX, 587 p. 255 illus., 150 illus. in color. online resource. - Solid Mechanics and Its Applications, 256 2214-7764 ; . - Solid Mechanics and Its Applications, 256 .
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
Mechanics, Applied.
Solids.
Differential equations.
Mathematics—Data processing.
Mathematical physics.
Solid Mechanics.
Differential Equations.
Computational Science and Engineering.
Mathematical Physics.
TA349-359
620.105