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math.NA2023
Adaptive isogeometric phase-field modeling of the Cahn-Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries
Cesare Bracco, Carlotta Giannelli, Alessandro Reali +2
We present an adaptive scheme for isogeometric phase-field modeling, to perform suitably graded hierarchical refinement and coarsening on both single- and multi-patch geometries by…
math.NA2023
High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations
Bernard Kapidani, Rafael Vázquez
We introduce a high-order spline geometric approach for the initial boundary value problem for Maxwell's equations. The method is geometric in the sense that it discretizes in stru…
math.NA2019
Isogeometric analysis with hierarchical functions on planar two-patch geometries
Cesare Bracco, Carlotta Giannelli, Mario Kapl +1
Adaptive isogeometric methods for the solution of partial differential equations rely on the construction of locally refinable spline spaces. A simple and efficient way to obtain t…