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20212026
most citedTree-Cotree Decomposition of Isogeometric Mortared Spaces in H(curl) on Multi-Patch Domains

11 citations · 11 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA2026

Isogeometric multi-patch preconditioner for time-dependent electromagnetic problems

Bernard Kapidani, Gabriele Loli, Giancarlo Sangalli +2

We build upon recent developments in high-order spline-based geometric methods for the three-dimensional initial boundary value problem of Maxwell's equations. Previous schemes wer…

math.NA2025

Tree-Cotree-Based IETI-DP for Eddy Current Problems in Time-Domain

Mario Mally, Rafael Vázquez, Sebastian Schöps

For low-frequency electromagnetic problems, where wave-propagation effects can be neglected, eddy current formulations are commonly used as a simplification of the full Maxwell's e…

cs.CE2024

Tree-Cotree-Based Tearing and Interconnecting for 3D Magnetostatics: A Dual-Primal Approach

Mario Mally, Bernard Kapidani, Melina Merkel +2

The simulation of electromagnetic devices with complex geometries and large-scale discrete systems benefits from advanced computational methods like IsoGeometric Analysis and Domai…

math.NA2023

Arbitrary order spline representation of cohomology generators for isogeometric analysis of eddy current problems

Bernard Kapidani, Melina Merkel, Sebastian Schöps +1

The eddy current problem has many relevant practical applications in science, ranging from non-destructive testing to magnetic confinement of plasma in fusion reactors. It arises w…

math.NA2021★ 11 cited

Tree-Cotree Decomposition of Isogeometric Mortared Spaces in H(curl) on Multi-Patch Domains

Bernard Kapidani, Melina Merkel, Sebastian Schöps +1

When applying isogeometric analysis to engineering problems, one often deals with multi-patch spline spaces that have incompatible discretisations, e.g. in the case of moving objec…