Assessing Finite Element Choice in Structural Topology Optimization and A Posteriori Error Estimation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866916025829687296 |
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| author | nayak, Jyotiranjan P, Shafeequdheen Rowthu, Vijayakrishna |
| author_facet | nayak, Jyotiranjan P, Shafeequdheen Rowthu, Vijayakrishna |
| contents | This study investigates the impact of finite element selection on structural topology optimization using the SIMP (Solid Isotropic Material with Penalization) method. Specifically, it compares linear (P1) and quadratic (P2) triangular elements with the conventional bi-linear quadrilateral (Q1) elements. Numerical experiments performed on benchmark problems including a cantilever beam, a bridge structure, and a beveled beam reveal notable differences in both the final optimized objective value (compliance) and the accuracy of the finite element solutions. The accuracy is evaluated using an a posteriori error estimator, highlighting the influence of element type on solution quality and optimization performance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19441 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Assessing Finite Element Choice in Structural Topology Optimization and A Posteriori Error Estimation nayak, Jyotiranjan P, Shafeequdheen Rowthu, Vijayakrishna Numerical Analysis This study investigates the impact of finite element selection on structural topology optimization using the SIMP (Solid Isotropic Material with Penalization) method. Specifically, it compares linear (P1) and quadratic (P2) triangular elements with the conventional bi-linear quadrilateral (Q1) elements. Numerical experiments performed on benchmark problems including a cantilever beam, a bridge structure, and a beveled beam reveal notable differences in both the final optimized objective value (compliance) and the accuracy of the finite element solutions. The accuracy is evaluated using an a posteriori error estimator, highlighting the influence of element type on solution quality and optimization performance. |
| title | Assessing Finite Element Choice in Structural Topology Optimization and A Posteriori Error Estimation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2605.19441 |