Keywords: مشتق شده توپولوژیک; Adaptive mesh refinement; Large scale; Parallel computing; Robust topology optimization; Topological derivative; Sparse grid;
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Keywords: مشتق شده توپولوژیک; 35R30; 35L05; 74B05; 47A52; 65J20; Inverse elastic scattering; Elasticity imaging; Topological derivative; Resolution analysis; Stability analysis;
Keywords: مشتق شده توپولوژیک; Topology optimization; Topological derivative; Multiple load-cases; Von Mises stress constraints;
Keywords: مشتق شده توپولوژیک; Topology optimization; Moving morphable components; Topological derivative; Stress-based optimization; Thermal loading;
Keywords: مشتق شده توپولوژیک; Topological derivative; Francfort-Marigo damage model; Topology optimization algorithm;
Keywords: مشتق شده توپولوژیک; Perfectly conducting cracks; Topological derivative; Multiple frequencies; Bessel functions; Numerical experiments;
Keywords: مشتق شده توپولوژیک; Topological derivative; Structural optimization; Topology design; Elastic anisotropy;
Keywords: مشتق شده توپولوژیک; Brittle fracture; Fracture criteria; LEFM; Topological derivative; PMMA;
Keywords: مشتق شده توپولوژیک; Topological derivative; Topology optimization design; Thermo-mechanical devices/actuators
Keywords: مشتق شده توپولوژیک; Topological derivative; Reissner-Mindlin plates; Asymptotic analysis;
Keywords: مشتق شده توپولوژیک; Topological derivative; Stress-based criteria; Topology optimization;
Keywords: مشتق شده توپولوژیک; Topology optimization; Topological derivative; Microstructure;
Keywords: مشتق شده توپولوژیک; Stress-based topology optimization; Phase-field method; Augmented Lagrange multiplier method; Topological derivative
Keywords: مشتق شده توپولوژیک; Topological derivative; Thermo-mechanical semi-coupled system; Multi-physic topology optimization; Asymptotic analysis;
Stable hole nucleation in level set based topology optimization by using the material removal scheme of BESO
Keywords: مشتق شده توپولوژیک; Hole nucleation; Level set method; BESO; Topology optimization; Topological derivative;
Topology optimization for heat conduction by combining level set method and BESO method
Keywords: مشتق شده توپولوژیک; Heat conduction; Level set method; BESO; Hole nucleation; Topology optimization; Topological derivative;
A simplified model of fracking based on the topological derivative concept
Keywords: مشتق شده توپولوژیک; Hydraulic fracture modeling; Francfort-Marigo damage model; Topological derivative; Topology optimization algorithm;
A level-set-based topology optimisation for acoustic-elastic coupled problems with a fast BEM-FEM solver
Keywords: مشتق شده توپولوژیک; Topology optimisation; Topological derivative; Level set method; Acoustic-elastic coupled problem; BEM-FEM coupled solver; Wave scattering;
Level set-based topology optimization for 2D heat conduction problems using BEM with objective function defined on design-dependent boundary with heat transfer boundary condition
Keywords: مشتق شده توپولوژیک; Level set method; Topology optimization; Heat transfer problem; Boundary element method; Topological derivative
Topological sensitivity analysis for elliptic differential operators of order 2m
Keywords: مشتق شده توپولوژیک; Topological sensitivity analysis; Topological derivative; Elliptic operator; Polarization tensor; Degenerate polarization tensor
Qualitative identification of cracks using 3D transient elastodynamic topological derivative: Formulation and FE implementation
Keywords: مشتق شده توپولوژیک; Crack; Inverse scattering; Topological derivative; Adjoint field method;
A meshless Pareto-optimal method for topology optimization
Keywords: مشتق شده توپولوژیک; Topology optimization; Meshless method; Pareto-optimality theory; Topological derivative
Fast multilevel thresholding for image segmentation through a multiphase level set method
Keywords: مشتق شده توپولوژیک; Multilevel thresholding; Level sets; Chan and Vese Model; Image segmentation; Topological derivative
Multi-frequency topological derivative for approximate shape acquisition of curve-like thin electromagnetic inhomogeneities
Keywords: مشتق شده توپولوژیک; Thin electromagnetic inclusions; Topological derivative; Multiple frequencies; Numerical experiments;
Topological derivative for an anisotropic and heterogeneous heat diffusion problem
Keywords: مشتق شده توپولوژیک; Topological derivative; Topological asymptotic analysis; Heterogeneous and anisotropic heat diffusion; Heat conductor topology optimization
Topological derivative-based topology optimization of structures subject to Drucker–Prager stress constraints
Keywords: مشتق شده توپولوژیک; Topological sensitivity; Topological derivative; Topology optimization; Drucker–Prager criterion; Local stress constraint
Topological derivative strategy for one-step iteration imaging of arbitrary shaped thin, curve-like electromagnetic inclusions
Keywords: مشتق شده توپولوژیک; Non-iterative imaging; Thin electromagnetic inclusions; Topological derivative; Asymptotic expansion formula; Numerical experiments
Energy release rate approximation for small surface-breaking cracks using the topological derivative
Keywords: مشتق شده توپولوژیک; Topological derivative; Energy release rate; Edge cracks; Asymptotic expansion
A BE-based shape optimization method enhanced by topological derivative for sound scattering problems
Keywords: مشتق شده توپولوژیک; Sound insulating wall; Boundary elements; Level set method; Topology optimization; Topological derivative; Design sensitivity analysis
A semismooth Newton method for topology optimization
Keywords: مشتق شده توپولوژیک; 49K20; 49M05; 49M15; 49Q10; 49Q12; Topology optimization; Semismooth Newton method; Topological sensitivity; Topological derivative;
Topology optimization of three-dimensional load-bearing structures using boundary elements
Keywords: مشتق شده توپولوژیک; Topology optimization; Topological derivative; Topological-Shape Sensitivity Method; Boundary elements; Three-dimensional elastostatics
Asymptotic models for the topological sensitivity of the energy functional
Keywords: مشتق شده توپولوژیک; Topological derivative; Topological sensitivity; Asymptotic models
A boundary element approach for topology design in diffusive problems containing heat sources
Keywords: مشتق شده توپولوژیک; Topology optimization; Heat transfer; Poisson equation; Topological derivative; Orthotropic materials; Boundary element methods;
Sensitivity of the macroscopic thermal conductivity tensor to topological microstructural changes
Keywords: مشتق شده توپولوژیک; Heat conductivity tensor; Topological derivative; Sensitivity analysis; Multi-scale modelling
Topological derivatives for optimization of plane elasticity contact problems
Keywords: مشتق شده توپولوژیک; Shape optimization; Topological derivative; Optimal design; Contact problem; Compliance optimization; Topology optimization
Topological sensitivity analysis of inclusion in two-dimensional linear elasticity
Keywords: مشتق شده توپولوژیک; Topological derivative; Shape sensitivity analysis; Topology design; Asymptotic analysis
Minimum stress optimal design with the level set method
Keywords: مشتق شده توپولوژیک; Level set method; Shape derivative; Topological derivative
Topological sensitivity analysis in the context of ultrasonic non-destructive testing
Keywords: مشتق شده توپولوژیک; Topological sensitivity; Topological gradient; Topological derivative; Non-destructive testing
Topology optimization of 2D elastic structures using boundary elements
Keywords: مشتق شده توپولوژیک; Topology optimization; Topological derivative; Boundary elements; Elastostatics
Topological sensitivity and FMM-accelerated BEM applied to 3D acoustic inverse scattering
Keywords: مشتق شده توپولوژیک; Topological derivative; Helmholtz equation; Inverse scattering; Boundary elements; Fast multipole method
On the topological sensitivity of transient acoustic fields
Keywords: مشتق شده توپولوژیک; Acoustic waves; Inverse scattering; Transient waveforms; Topological derivative;
A feature-based topological optimization for structure design
Keywords: مشتق شده توپولوژیک; Topology optimization; Feature-based; Topological derivative; R-function; Implicit representation; Shape matching
Topological derivative: A tool for image processing
Keywords: مشتق شده توپولوژیک; Sensitivity analysis; Topological derivative; Image restoration; Image processing; Enhancement; Segmentation
Topology optimization and boundary elements—a preliminary implementation for linear heat transfer
Keywords: مشتق شده توپولوژیک; Topology optimization; Boundary element methods; Heat transfer; Topological derivative; Topological sensitivity
A level set method for topology optimization of heat conduction problem under multiple load cases
Keywords: مشتق شده توپولوژیک; Topological derivative; Shape derivative; Topology optimization; Level set method; Heat conduction; Multiple load cases
Topological sensitivity analysis for three-dimensional linear elasticity problem
Keywords: مشتق شده توپولوژیک; Topological derivative; Topological-Shape Sensitivity Method; Shape sensitivity analysis; Topology design
Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain
Keywords: مشتق شده توپولوژیک; Topological derivative; Inverse scattering; Convolution; Linear acoustics; Linear elastodynamics; Adjoint field method