An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry

Keyphrases

• Complex Geometry 100%
• Interface Problem 100%
• B-spline 100%
• Hp-finite Element Method 100%
• Regular Grid 50%
• Hierarchical Grid 50%
• Computational Performance 25%
• Numerical Experiments 25%
• Finite Element Method 25%
• Exact Location 25%
• Finite Element Discretization 25%
• Grid Refinement 25%
• Benchmark Problems 25%
• Nonlinear Simulation 25%
• Polynomial Degree 25%
• Geometric Complexity 25%
• Hp-refinement 25%
• Computational Expense 25%
• Voxel-based 25%
• Grid Generation 25%
• Exponential Convergence 25%
• Complex Interface Geometry 25%
• Local Basis Functions 25%
• Geometric Nonlinearity 25%
• Cell Concept 25%
• Refinement Strategies 25%
• Geometrically Nonlinear Problem 25%
• Grid Approach 25%
• Foam Composite 25%
• Adaptive Approximation 25%
• Finite Cell 25%

Mathematics

• Complex Geometry 100%
• B-Spline 100%
• Finite Element Methods 100%
• Polynomial 25%
• Boundary Condition 25%
• Discretization 25%
• Local Base 25%
• Voxel 25%
• Exponential Rate 25%
• Three-Dimension 25%
• One Dimension 25%
• Two Dimensions 25%
• Meshing 25%
• Basis Function 25%
• Numerical Experiment 25%
• Nonlinear Problem 25%

Engineering

• Finite Element Method 100%
• Regular Grid 66%
• Numerical Experiment 33%
• Rate of Convergence 33%
• Nonlinear Problem 33%
• Basis Function 33%
• Element Discretisation 33%
• Imposition 33%
• Computational Expense 33%
• Refinement Strategy 33%
• Grid Generation 33%
• Boundary Condition 33%
• Benchmark Problem 33%