Isogeometric analysis and applications 2014. ([2015])

• Record Type: Book
• Further Information: Note: Bert Jüttler, Bernd Simeon, editors.
• Other Names: Jüttler, B (Bert); Simeon, Bernd; IGAA (Conference), 2nd
• Contents: 2.5.3 Numerical Examples3 Multipatch dG IgA for PDEs on Surfaces; 3.1 Diffusion Problems on Open and Closed Surfaces; 3.2 Multipatch dG IgA Discretization; 3.3 Discretization Error Estimates; 3.4 Numerical Examples; 3.4.1 Sphere; 3.4.2 Torus; 3.4.3 Car; 4 The G+Smo C++ Library; 4.1 Description of the Main Modules; 4.2 Development Framework; 4.3 Additional Features and Extensions; 4.4 Plugins for Third-Party Platforms; References; The Influence of Quadrature Errors on Isogeometric Mortar Methods; 1 Introduction; 2 Isogeometric Mortar Methods; 2.1 Isogeometric Parametrization. 2.2 Description of the Computational Domain2.3 Isogeometric Mortar Discretization; 3 Mortar Integrals; 4 Numerical Results; 4.1 Two-Dimensional Example; 4.1.1 Slave Integration Approach; 4.1.2 Non-symmetric Approach; 4.2 Three-Dimensional Example; 5 Conclusion; References; The Isogeometric Segmentation Pipeline; 1 Introduction; 2 Segmentation of Triangulated Surfaces and CAD Model Reconstruction; 2.1 Examples; 3 Isogeometric Segmentation of Boundary Represented Solids; 3.1 Theory for Contractible Solids with Only Convex Edges; 3.2 Theory for Contractible Solids with Non-convex Edges. 3.3 Description of the Algorithm3.4 Surface Extension; Examples; 3.5 T-Joint Removal; 4 Hexahedron Parameterization; 5 Simulation; 5.1 The Linear Elasticity Problem; 5.2 Isogeometric Treatment with Multi-patch Domain; 5.3 TERRIFIC Demonstrator; 5.4 Chair Stand; 6 Conclusions and Further Work; References; Domain Decomposition Methods and Kirchhoff-Love Shell Multipatch Coupling in Isogeometric Analysis; 1 Introduction; 2 Theory; 2.1 The Strong Form of the Problem; 2.2 The Weak Form of the Decoupled Problem; 2.3 The Weak Form of the Penalty Approach. 2.4 The Weak Form of the Lagrange Multipliers Approach2.5 The Weak Form of the Augmented Lagrange Multipliers Approach; 3 Discretization; 3.1 Discrete Spaces; 3.2 Discrete Equation System of the Decoupled Problem; 3.3 Discrete Equation System of the Penalty Approach; 3.4 Discrete Equation System of the Lagrange Multipliers Approach; 3.5 Discrete Equation System of the Augmented Lagrange Multipliers Approach; 4 Numerical Results; 4.1 Circular Plate Subject to Uniform Pressure Load; 4.2 Scordelis-Lo Roof; 4.3 Slit Annular Plate Subject to Tip Lifting Line Force.
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Extent: 1 online resource
• Subjects: 518/.25; 620; Mathematics; Isogeometric analysis -- Congresses; Computer science -- Mathematics; Engineering mathematics; Computer aided design; MATHEMATICS -- Numerical Analysis; Isogeometric analysis; Mathematics -- Applied; Computers -- CAD-CAM; Science -- Mathematical Physics; Maths for engineers; Computer-aided design (CAD); Mathematical physics; Mathematics -- Counting & Numeration; Numerical analysis; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319233154; 3319233157
• Related ISBNs: 9783319233147; 3319233149
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed March 31, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.