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math.NA2023
Isogeometric collocation for solving the biharmonic equation over planar multi-patch domains
Mario Kapl, Aljaž Kosmač, Vito Vitrih
We present an isogeometric collocation method for solving the biharmonic equation over planar bilinearly parameterized multi-patch domains. The developed approach is based on the u…
math.NA2023
A locally based construction of analysis-suitable multi-patch spline surfaces
Andrea Farahat, Mario Kapl, Aljaž Kosmač +1
Analysis-suitable (AS-) multi-patch spline surfaces [4] are particular -smooth multi-patch spline surfaces, which are needed to ensure the construction of -smo…
math.NA2023★ 3 cited
-smooth isogeometric spline functions of general degree over planar mixed meshes: The case of two quadratic mesh elements
Jan Grošelj, Mario Kapl, Marjeta Knez +2
Splines over triangulations and splines over quadrangulations (tensor product splines) are two common ways to extend bivariate polynomials to splines. However, combination of both…