3 papers
math.NA2025
An Isogeometric Tearing and Interconnecting method for conforming discretizations of the biharmonic problem
Stefan Takacs
We propose and analyze a domain decomposition solver for the biharmonic problem. The problem is discretized in a conforming way using multi-patch Isogeometric Analysis. As first st…
math.NA2025
Dual-primal Isogeometric Tearing and Interconnecting Solvers for adaptively refined multi-patch configurations
Stefan Takacs, Stefan Tyoler
Isogeometric Analysis is a variant of the finite element method, where spline functions are used for the representation of both the geometry and the solution. Splines, particularly…
math.NA2024
Multi-resolution Isogeometric Analysis -- Efficient adaptivity utilizing the multi-patch structure
Stefan Tyoler, Stefan Takacs
Isogeometric Analysis (IgA) is a spline based approach to the numerical solution of partial differential equations. There are two major issues that IgA was designed to address. The…