What does this research mean for the field?

An extended r-adaptive isogeometric analysis (IGA) framework utilizing a Gaussian monitor for control-point relocation reduces computational error by up to 65.7% in weak-discontinuous problems with negligible computational overhead. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to develop an extended r-adaptive isogeometric analysis framework for weak-discontinuous problems.

May 31, 2026Open Access

Extended r-adaptive isogeometric analysis for weak-discontinuous problems

Key Points

The aim is to develop an extended r-adaptive isogeometric analysis framework for weak-discontinuous problems.
Proposed an extended r-adaptive IGA framework for weak-discontinuous problems.
Implemented a Gaussian monitor to redistribute geometric resolution using level-set interfaces.
Utilized control-point relocation to enhance interface resolution without the need for mesh refinement.
Achieved up to 65.7% error reduction in problem resolution.
Maintained negligible computational overhead during implementation.

Abstract

• An extended r -adaptive IGA framework is proposed for weak-discontinuous problems. • A Gaussian monitor redistributes geometric resolution using level-set interfaces. • Control-point relocation enhances interface resolution without mesh refinement. • Up to 65.7% error reduction is achieved with negligible computational overhead.

Extended r-adaptive isogeometric analysis for weak-discontinuous problems

Key Points

Abstract

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