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This is a Quantitative Study study.

October 16, 2025Open Access

Error Estimates and Graded Mesh Refinement for Isogeometric Analysis on Polar Domains with Corners

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Authors

TAThomas ApelChemnitz University of Technology PZPhilipp ZilkUniversität der Bundeswehr München

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Implication

This work introduces a local refinement strategy, improving error estimates in isogeometric analysis on polar domains, suggesting better convergence rates.

Key Points

Isogeometric analysis achieves optimal convergence rates through a novel polar refinement strategy, enhancing performance near singularities.
The method grades the standard mesh towards collapsing edges, maintaining the tensor-product structure while addressing corner singularities.
A mathematical analysis confirms the effectiveness of this approach, providing error estimates in polar domains with corners.
Numerical tests validate the accuracy and efficiency of the new framework in isogeometric approximation for PDEs.

Cite This Study

Apel et al. (2025) studied this question.

synapsesocial.com/papers/68f147cc724575985c3fd2d3 https://doi.org/10.48550/arxiv.2505.10095

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Implication

This work introduces a local refinement strategy, improving error estimates in isogeometric analysis on polar domains, suggesting better convergence rates.

Error Estimates and Graded Mesh Refinement for Isogeometric Analysis on Polar Domains with Corners

Discussion

Member takes

Implication

Key Points

Cite This Study

Error Estimates and Graded Mesh Refinement for Isogeometric Analysis on Polar Domains with Corners

Discussion

Member takes

Implication

Key Points

Cite This Study

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