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math.NA2026
Constructing limit surfaces from unstructured splines via averaging and refinement
Syeda Hijab Zahra, Thomas Takacs
In this paper we present a construction for unstructured splines over quadrilateral meshes by iterative averaging and refinement. We represent the spline as a multi-patch B-spline,…
math.NA2026
Robust approximation error estimates for analysis-suitable isogeometric multi-patch discretizations
Fatima Hasanova, Stefan Takacs, Thomas Takacs
We prove -robust approximation error estimates for -conforming isogeometric discretizations over planar multi-patch domains. Possible applications are fourth order boundary…