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math.NA2022★ 1 cited
Transmission operators for the non-overlapping Schwarz method for solving Helmholtz problems in rectangular cavities
Nicolas Marsic, Christophe Geuzaine, Herbert De Gersem
In this paper we discuss different transmission operators for the non-overlapping Schwarz method which are suited for solving the time-harmonic Helmholtz equation in cavities (i.e.…
math.NA2022★ 8 cited
Tensor train based isogeometric analysis for PDE approximation on parameter dependent geometries
Ion Gabriel Ion, Dimitrios Loukrezis, Herbert De Gersem
This work develops a numerical solver based on the combination of isogeometric analysis (IGA) and the tensor train (TT) decomposition for the approximation of partial differential…