Efficient computation of nonlinear isogeometric elements using the adjoint method and algorithmic differentiation

Keyphrases

• Efficient Computation 100%
• Isogeometric Elements 100%
• Algorithmic Differentiation 100%
• Adjoint Method 100%
• Isogeometric Analysis 75%
• Coupling Conditions 50%
• Polynomial Degree 50%
• Energy Functional 50%
• Condition-dependent 50%
• Geometric Nonlinearity 50%
• Computationally Expensive 25%
• First Order Derivative 25%
• Mechanical Properties 25%
• Computational Speed 25%
• Penalty Method 25%
• Efficient Implementation 25%
• Stiffness Matrix 25%
• Recurring 25%
• Geometric Description 25%
• Mechanical Behavior 25%
• Element Formulation 25%
• Non-uniform Rational B-spline (NURBS) 25%
• Second-order Derivative 25%
• Nonlinear Finite Element 25%
• Automatic Differentiation 25%
• Trusses 25%
• CAD Analysis 25%
• Isogeometric B-Rep Analysis 25%
• Implementation Outcomes 25%
• Vector Matrix 25%
• Membrane Shell 25%
• Load Vector 25%
• Beam-membrane 25%
• Element Coupling 25%
• Clean Separation 25%
• Loading Stiffness 25%
• Computational Graph 25%
• Beam Coupling 25%
• Formulation Conditions 25%
• Beam Conditions 25%

Engineering

• Energy Functional 100%
• Energy Engineering 50%
• Efficient Implementation 50%
• Truss 50%
• Load Vector 50%
• Finite Element Method 50%
• Computer Aided Design 50%
• Stiffness Matrix 50%

Earth and Planetary Sciences

• Adjoint Method 100%
• Functionals 50%
• Adjoints 25%
• Stiffness Matrix 25%
• Truss 25%