# Journal papers

#### 2023

- L. L. Tóth, L. D. Schuck, R. Dyczij-Edlinger, “Interpolation-operator orthogonal, hierarchical H1-conforming basis functions for tetrahedral finite elements,” 24th International Conference on Electromagnetics in Advanced Applications, 2023, (Accepted).
- L. L. Tóth, A. A. Martin, R. Dyczij-Edlinger, “Hierarchical universal matrices for curvilinear tetrahedral H(curl) finite elements with inhomogeneous material properties,” IEEE Trans.vAntennas Propagat., 2023, (Accepted), doi: 10.1109/TAP.2023.3293652.
- A. A. Martin, L. C. Garcia, L. L. T´oth, O. Floch, R. Dyczij-Edlinger, “A Rigorous verification process of the domain decomposition method in a finite element method code for electromagnetics,” IEEE Trans. Antennas Propagat., 2023, (Accepted), doi: 10.1109/TAP.2023.3294001.

#### 2022

- L. L. Tóth, A. A. Martin, R. Dyczij-Edlinger, “Convergence Study of H(curl) Serendipity Basis Functions for Hexahedral Finite-Elements,” 24th International Microwave and Radar Conference (MIKON-2022), Gdansk, Poland, Sept. 11 - 15, 2022.
- L. D. Schuck, L. L. Tóth, R. Dyczij-Edlinger, “Time Domain State Space Solver for Microwave Systems Based on Laguerre Polynomials,” The 10th Vienna International Conference on Mathematical Modelling (MATHMOD 2022)

#### 2021

- L. L. Tóth, A. A. Martin, R. Dyczij-Edlinger, “The mixed-order serendipity finite element for H(curl)-conforming hexahedra,” 2021 Kleinheubach Conference, IEEE Xplore, Nov. 2021, pp. 1–4. doi: 10.23919/IEEECONF54431.2021.9598379

#### 2019

- L. L. Tóth, R. Dyczij-Edlinger, “Hierarchical Universal Matrices for Sensitivity Analysis by Curvilinear Finite Elements,” Applied Computational Electromagnetics Society Journal, vol. 34, no. 2, Feb. 2019, pp. 206–210, [Online]

#### 2018

- S. Brandl, R. Dyczij-Edlinger, “Parametric Model-Order Reduction for Accelerating the Gradient-Based Optimization of Microwave Structures Using Finite-Elements,” IFAC Papers online, vol. 51, issue 2, 2018, pp. 190-195, ISSN 2405-8963.

#### 2017

- R. Baltes, O. Farle, R. Dyczij-Edlinger, “Compact and passive time-domain models including dispersive materials based on order-reduction in the frequency domain," IEEE Trans. Microwave Theory Techn., vol. 65, no. 8, Aug. 2017, pp. 2650-2660, doi: 10.1109/TMTT.2017.2708095.
- R. Baltes, A. Schultschik, O. Farle, R. Dyczij-Edlinger, “A Finite-element-based fast frequency sweep framework including excitation by frequency-dependent waveguide mode patterns," IEEE Trans. Microwave Theory Techn., vol. 65, no. 7, July 2017, pp. 2249-2260, doi:10.1109/TMTT.2017.2679181.

#### 2016

- D. Klis, S. Burgard, O. Farle, and R. Dyczij-Edlinger, "A self-adaptive model-order reduction algorithm for nonlinear eddy current problems based on quadratic-linear modeling," IEEE Trans. Magn., vol. 52, no. 3, March 2016, doi: 10.1109/TMAG.2015.2487601.
- D. Klis, O. Farle, and R. Dyczij-Edlinger, "Model-order reduction for the finite-element boundary-element simulation of eddy current problems including rigid body motion," IEEE Trans. Magn., vol. 52, no. 3, March 2016, doi: 10.1109/TMAG.2015.2482541.
- M. Jochum, O. Farle, and R. Dyczij-Edlinger, "A Symmetric and Low-Frequency Stable Potential Formulation for the Finite-Element Simulation of Electromagnetic Fields," in "Scientific Computing in Electrical Engineering: SCEE 2014," (Mathematics in Industry, vol. 23), M. Clemens, M. Gunther, and E.J.W. ter Maten, Eds. SUI: Springer International Publishing, 2016, pp. 63 - 71, doi: 10.1007/978-3-319-30399-4 7.
- O. Floch, A. Sommer, O. Farle, and R. Dyczij-Edlinger, "An Adaptive De ation Domain-Decomposition Preconditioner for Fast Frequency Sweeps," IEEE Trans. Magn., vol. 52, no. 3, March 2016, doi: 10.1109/TMAG.2015.2463690.

#### 2015

- O. Floch, A. Sommer, O. Farle, and R. Dyczij-Edlinger, "Is Model-Order Reduction Viable for the Broadband Finite-Element Analysis of Electrically Large Antenna Arrays?," Advances in Radio Science, vol. 13, pp. 31 - 39, 2015.
- D. Klis, S. Burgard, O. Farle, and R. Dyczij-Edlinger, "A self-adaptive model-order reduction algorithm for nonlinear eddy current problems based on quadratic-linear modeling," early access version: IEEE Trans. Magn., vol. PP, no. 99, Oct. 2015, doi: 10.1109/TMAG.2015.2487601.
- D. Klis, O. Farle, and R. Dyczij-Edlinger, "Model-order reduction for the finite-element boundary-element simulation of eddy current problems including rigid body motion," early access version: IEEE Trans. Magn., vol. PP, no. 99, Sep. 2015, doi: 10.1109/TMAG.2015.2482541.
- O. Floch, A. Sommer, O. Farle, and R. Dyczij-Edlinger, "An Adaptive De ation Domain-Decomposition Preconditioner for Fast Frequency Sweeps," IEEE Trans. Magn., vol. XX, no. 99, August 2015, doi: 10.1109/TMAG.2015.2463690.
- A. Sommer, O. Farle, and R. Dyczij-Edlinger, "Certified Dual-Corrected Radiation Patterns of Phased Antenna Arrays by Offline-Online Order Reduction of Finite-Element Models," J. Comput. Phys., vol. 299, pp. 22 - 44, 15 Oct. 2015.
- D. Klis, S. Burgard, O. Farle, and R. Dyczij-Edlinger, "Litz Wire Homogenization by Finite Elements and Model-Order Reduction," COMPEL, vol. 34, no. 5, pp. 1418 - 1432, 2015.
- A. Sommer, O. Farle, and R. Dyczij-Edlinger, "A New Method for Accurate and Efficient Residual Computation in Adaptive Model-Order Reduction," IEEE Trans. Magn., vol. 51, no. 3, March 2015, doi: 10.1109/TMAG.2014.2352812.
- S. Burgard, O. Farle, R. Dyczij-Edlinger, "An h Adaptive Sub-domain Approach to Parametric Reduced Order Modeling," IEEE Trans. Magn., vol. 51, no. 3, March 2015, doi: 10.1109/TMAG.2014.2353138.
- M. Jochum, O. Farle, R. Dyczij-Edlinger, "A New Low-Frequency Stable Potential Formulation for the Finite-Element Simulation of Electromagnetic Fields," IEEE Trans. Magn., vol. 51, no. 3, pp.1,4, March 2015, doi: 10.1109/TMAG.2014.2360080.

#### 2014

- R. Baltes, J. Al Ahmar, O. Farle, and R. Dyczij-Edlinger, "A Mixed Finite-Element Formulation for the Modal Analysis of Electromagnetic Waveguides Featuring Improved Low-Frequency Resolution of Transmission Line Modes," Advances in Radio Science, vol. 12, pp. 13-19, 2014.
- A. Sommer, O. Farle, and R. Dyczij-Edlinger, "A fast certified parametric near-field-to-far-field transformation technique for electrically large antenna arrays," Advances in Computational Mathematics, pp. 1 - 20, 2014, doi: 10.1007/s10444-014-9373-0.
- O. Farle, R.-B. Baltes, and R. Dyczij-Edlinger, "Strukturerhaltende Diskretisierung verteiltparametrischer Port-Hamiltonscher Systeme mittels finiter Elemente," at - Automatisierungstechnik, vol 62, no. 7, pp. 500-511, 2014.
- Y. Konkel, O. Farle, A. Sommer, S. Burgard, and R. Dyczij-Edlinger, "A posteriori error bounds for Krylov-based fast frequency sweeps of fnite-element systems," IEEE Trans. Magn., vol. 50, no. 2, pp. 441-444, 2014.
- S. Burgard, O. Farle, P. Loew, and R. Dyczij-Edlinger, "Fast Shape Optimization of Microwave Devices Based on Parametric Reduced-Order Models," IEEE Trans. Magn., vol. 50, no. 2, pp. 629-632, 2014.
- S. Burgard, A. Sommer, O. Farle, R. Dyczij-Edlinger, "Reduced-Order Models of Finite-Element Systems Featuring Shape and Material Parameters," Electromagnetics, vol. 34, no. 3-4, pp. 143-160, 2014.

#### 2013

- S. Burgard, O. Farle, R. Dyczij-Edlinger, "A Novel Parametric Model Order Reduction Approach with Focus on Geometric Parameters," COMPEL, vol. 32, no. 5, pp. 1525-1538, 2013.
- A. Sommer, O. Farle, R. Dyczij-Edlinger, "Efficient Finite-Element Computation of Far-Fields of Phased Arrays by Order Reduction," winner of Compel Award, COMPEL, vol. 32, no. 5, pp. 1721-1734, 2013.

#### 2011

- O. Farle, S. Burgard, R. Dyczij-Edlinger, "Passivity Preserving Parametric Model-Order Reduction for Non-affine Parameters," Mathematical and Computer Modelling of Dynamical Systems, vol. 17, iss. 3, pp. 279 - 294, 2011.
- Y. Konkel, O. Farle, A. Kohler, A. Schultschik, R. Dyczij-Edlinger, "Adaptive Strategies for Fast Frequency Sweeps," COMPEL, vol. 30, iss. 6, pp. 1855 - 1869, Dec. 2011.
- A. Schultschik, O. Farle, Y. Konkel, R. Dyczij-Edlinger, "Self-Adaptive Fast Frequency Sweep for the Finite-Element Analysis of Waveguide Modes," Radio Science, vol. 46, RS0E09, Aug. 2011.
- C. Scheiber, A. Schultschik, O. Biro, R. Dyczij-Edlinger, "A model order reduction method for efficient band structure calculations of photonic crystals," IEEE Trans. Magn., vol. 47, no. 5, pp. 1534 - 1537, May 2011.

#### 2010

- O. Farle and R. Dyczij-Edlinger, "Numerically Stable Moment Matching for Linear Systems Parameterized by Polynomials in Multiple Variables With Applications to Finite Element Models of Microwave Structures," IEEE Trans. Antennas Propag., vol. 58, no. 11, pp. 3675 - 3684, Nov. 2010.
- O. Farle, M. Lösch, R. Dyczij-Edlinger, "Efficient Fast Frequency Sweep Without Nonphysical Resonances," Electromagnetics, vol. 30, no. 1, pp. 51 - 68, 2010.

#### 2009

- R. Dyczij-Edlinger and O. Farle, "Finite element analysis of linear boundary value problems with geometrical parameters," COMPEL, vol. 28, no. 4, pp. 779 - 794, 2009.
- R. Dyczij-Edlinger and O. Farle, "Algorithmic Enhancements, Model-Order Reduction, Multigrid Aspects in Contemporary Finite Element Implementations," invited paper, IEEE Trans. Magn., vol. 45, no. 3, pp. 1270 - 1275, March 2009.
- P. Nickel and R. Dyczij-Edlinger, "An Improved Jacobi-Davidson Method with Multi-Level Startup Procedure," IEEE Trans. Magn., vol. 45, no. 3, pp. 1372 - 1375, March 2009.
- A. Schultschik, O. Farle, R. Dyczij-Edlinger, "An Adaptive Multi-Point Fast Frequency Sweep for Large-Scale Finite Element Models," IEEE Trans. Magn., vol. 45, no. 3, pp. 1108 - 1111, March 2009.
- O. Farle, M. Losch, R. Dyczij-Edlinger, "Model Order Reduction for Multiple Geometric Parameters," in ARGESIM Report no. 35, I. Troch, F. Breitenecker, eds., ISBN 978-3-901608-35-3, pp. 1302-1309, 2009.

#### 2008

- O. Farle, V. Hill, P. Ingelstrom, R. Dyczij-Edlinger, "Multi-Parameter Polynomial Order Reduction of Linear Finite Element Models," Mathematical and Computer Modelling of Dynamical Systems, vol. 14, no. 5, pp. 421-434, Oct. 2008.
- A. Schultschik, O. Farle, R. Dyczij-Edlinger, "A Model Order Reduction Method for the Finite Element Simulation of Inhomogeneous Waveguides," IEEE Trans. Magn., vol. 44, no. 6, pp. 1394-1397, June 2008. 6, pp. 1394-1397, June 2008.
- P. Nickel, V. Hill, P. Ingelström, R. Dyczij-Edlinger, "A Jacobi-Davidson Method for the hp Multilevel Analysis of Cavity Modes," Electromagnetics, vol. 28, no. 1 pp. 92 - 108, Jan. 2008.

#### 2007

- V. Hill, O. Farle, P. Ingelström, R. Dyczij-Edlinger, "Efficient Implementation of Nonuniform Refinement Levels in a Geometric Multigrid Finite-Element Method for Electromagnetic Waves," IEEE Trans. Magn., vol. 43, no. 4, pp. 1521 - 1524, April 2007.
- R. Dyczij-Edlinger, V. Hill, P. Ingelström, "Comparison of hierarchical basis functions for efficient multilevel solvers," IET, Science, Measurement & Technology, vol. 1, pp. 43 - 52, Jan. 2007.

#### 2006

- O. Farle, V. Hill, P. Ingelström, R. Dyczij-Edlinger, "Ordnungsreduktion linearer zeitinvarianter Finite-Elemente-Modelle mit multivariater polynomieller Parametrierung," at - Automatisierungstechnik, vol. 54, pp. 161 - 169, 2006.
- O. Farle, V. Hill, P. Ingelström, R. Dyczij-Edlinger, "Multi-Parameter Polynomial Model Reduction of Linear Fnite Element Equation Systems," in ARGESIM Report No. 30, I. Troch, F. Breitenecker, eds., ISBN 3-901608-30-3, p. 148; pp. 2-1 - 2-9, 2006.
- O. Farle, V. Hill, P. Nickel, R. Dyczij-Edlinger, "Multivariate Finite Element Model Order Reduction for Permittivity or Permeability Estimation," IEEE Trans. Magn., vol. 42, no. 4, pp. 623 - 626, April 2006.

#### 2005

- O. Farle, V. Hill, P. Nickel, R. Dyczij-Edlinger, "An Arnoldi-Type Algorithm for Parametric Finite Element Modelling of Microwave Components," Proc. Appl. Math. Mech., vol. 5, pp. 655-656, 2005.

#### 2004

- V. Hill, O. Farle, R. Dyczij-Edlinger, "Finite Element Basis Functions for Nested Meshes of Non-Uniform Refinement Level," IEEE Trans. Magn., vol. 40, no. 2, pp. 981-984, March 2004.
- O. Farle, V. Hill, R. Dyczij-Edlinger, "Finite Element Waveguide Solvers Revisited," IEEE Trans. Magn., vol. 40, no. 2, pp. 1468-1471, March 2004.

#### 2003

- V. Hill, O. Farle, R. Dyczij-Edlinger, "A Stabilized Multilevel Vector Finite- Element Solver for Time-Harmonic Electromagnetic Waves," IEEE Trans. Magn., vol. 39, no. 3, pp. 1203-1206, May 2003.

Chair of Theoretical Electrical Engineering

Saarland University

Campus C6 3, 11th floor

Box 15 11 50

66041 Saarbrucken

Chair of Theoretical Electrical Engineering

Saarland University

Campus C6 3, 11th floor (site plan)

66123 Saarbrücken (directions)

Prof. Dr. Romanus Dyczij-Edlinger edlinger(at)lte.uni-saarland.de Phone: +49 681 302-2441 Consultation by appointment. |

Sarah Braun sekretariat(at)lte.uni-saarland.de Phone.: +49 681 302-2551 Fax: +49 681 302-3157 Office hoursMo 08:00 a.m. — 01:00 p.m. Tue only reachable by phone Wed 08:00 a.m. — 01:00 p.m. Thu closed Fri 08:00 a.m. — 01:00 p.m. |