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19922026
Showing 2022 · math.NAShow all

7 papers · 2 filters

math.NA2022★ 7 cited

How to Build the Optimal Magnet Assembly for Magnetocaloric Cooling: Structural Optimization with Isogeometric Analysis

Michael Wiesheu, Melina Merkel, Tim Sittig +5

In the search for more efficient and less environmentally harmful cooling technologies, the field of magnetocalorics is considered a promising alternative. To generate cooling span…

math.NA2022★ 1 cited

A Comparison Between Different Formulations for Solving Axisymmetric Time-Harmonic Electromagnetic Wave Problems

Erik Schnaubelt, Nicolas Marsic, Herbert De Gersem

In many time-harmonic electromagnetic wave problems, the considered geometry exhibits an axial symmetry. In this case, by exploiting a Fourier expansion along the azimuthal directi…

math.NA2022★ 6 cited

A Stiff MOL Boundary Control Problem for the 1D Heat Equation with Exact Discrete Solution

Jens Lang, Bernhard A. Schmitt

Method-of-lines discretizations are demanding test problems for stiff integration methods. However, for PDE problems with known analytic solution the presence of space discretizati…

math.NA2022★ 18 cited

High-order implicit time integration scheme with controllable numerical dissipation based on mixed-order Padé expansions

Chongmin Song, Xiaoran Zhang, Sascha Eisenträger +1

A single-step high-order implicit time integration scheme with controllable numerical dissipation at high frequencies is presented for the transient analysis of structural dynamic…

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…