An operator splitting algorithm for Tikhonov-regularized topology optimization

Mathematics

• Topology Optimization 100%
• Operator Splitting 90%
• Gradient Descent 44%
• Projection 39%
• Filtering 35%
• Compliance 22%
• Semi-implicit 21%
• Ill-posedness 21%
• Modified Equations 19%
• Regularization Parameter 19%
• Helmholtz Equation 18%
• Update 17%
• Iterate 17%
• Density Function 17%
• Minimization Problem 16%
• Green's function 16%
• Optimal Solution 15%
• Objective function 14%
• Convolution 14%
• Binary 13%
• Discretization 13%
• Model 5%

Engineering & Materials Science

• Shape optimization 75%
• Mathematical operators 65%
• Helmholtz equation 52%
• Green's function 42%
• Convolution 35%
• Probability density function 34%
• Current density 34%
• Compliance 31%

Physics & Astronomy

• topology 62%
• operators 50%
• optimization 47%
• descent 43%
• projection 42%
• gradients 23%
• Helmholtz equations 21%
• convolution integrals 18%
• Green's functions 14%
• current density 12%
• sensitivity 10%