Unified & Efficient Design–Analysis–Optimization with IGA & AMR

Overview

This project focuses on the development of a unified design–analysis–optimization (DAO) framework based on isogeometric analysis (IGA) combined with adaptive mesh refinement (AMR). The objective is to enable computationally efficient structural optimization while preserving exact CAD geometry throughout the design cycle.

Motivation

Conventional topology optimization workflows often suffer from high computational cost due to uniform mesh refinement and repeated geometry discretization. This project aims to address these limitations by integrating analysis, adaptivity, and optimization into a single, continuity-preserving computational pipeline.

Methodology

The framework employs spline-based IGA for both geometry representation and solution approximation. Adaptive refinement strategies are introduced to locally enrich the solution space based on error indicators and optimization sensitivity measures. The resulting DAO cycle allows refinement to be performed only where required, significantly reducing computational overhead.

Key Contributions

• Unified integration of analysis, adaptivity, and optimization within an IGA framework
• Continuity-preserving local refinement strategies for structural optimization
• Significant reduction in computational cost compared to uniform refinement approaches

Representative Results

The methodology is demonstrated on benchmark two- and three-dimensional structural optimization problems, showing improved efficiency without loss of solution accuracy.

Related Publications / Material

Relevant journal and conference publications will be listed here.