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Phase-Informed Discontinuous Galerkin Method for Extremely High-Frequency Wave Modeling
Haoqiang Feng, Jianping Huang, Caipin Li, Kang Liu, Yi-Yao Wang, Wei E. I. Sha and Qiwei Zhan IEEE Transactions on Antennas and Propagation 72(8) 6614 (2024) https://doi.org/10.1109/TAP.2024.3427389
A High-Order Ultraweak Variational Formulation for Electromagnetic Waves Utilizing Curved Elements
Timo Lähivaara, William F. Hall, Matti Malinen, Dale Ota, Vijaya Shankar and Peter Monk IEEE Transactions on Antennas and Propagation 72(5) 4440 (2024) https://doi.org/10.1109/TAP.2024.3373063
Approximation Properties of Vectorial Exponential Functions
A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations
Håkon Sem Fure, Sébastien Pernet, Margot Sirdey and Sébastien Tordeux SN Partial Differential Equations and Applications 1(4) (2020) https://doi.org/10.1007/s42985-020-00024-0
High-order multiscale discontinuous Galerkin methods for the one-dimensional stationary Schrödinger equation
A combined scheme of the local spectral element method and the generalized plane wave discontinuous Galerkin method for the anisotropic Helmholtz equation
Numerical Mathematics and Advanced Applications ENUMATH 2017
Scott Congreve, Joscha Gedicke and Ilaria Perugia Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2017 126 493 (2019) https://doi.org/10.1007/978-3-319-96415-7_44
A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems
A priorierror analysis of space–time Trefftz discontinuous Galerkin methods for wave problems
Fritz Kretzschmar, Andrea Moiola, Ilaria Perugia and Sascha M. Schnepp IMA Journal of Numerical Analysis 36(4) 1599 (2016) https://doi.org/10.1093/imanum/drv064
A plane wave virtual element method for the Helmholtz problem
Ilaria Perugia, Paola Pietra and Alessandro Russo ESAIM: Mathematical Modelling and Numerical Analysis 50(3) 783 (2016) https://doi.org/10.1051/m2an/2015066
An Unconditionally Stable Discontinuous Galerkin Method for the Elastic Helmholtz Equations with Large Frequency
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations
Ralf Hiptmair, Andrea Moiola and Ilaria Perugia Lecture Notes in Computational Science and Engineering, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations 114 237 (2016) https://doi.org/10.1007/978-3-319-41640-3_8
A New Multiscale Discontinuous Galerkin Method for the One-Dimensional Stationary Schrödinger Equation
Error estimates for the ultra weak variational formulation in linear elasticity
Teemu Luostari, Tomi Huttunen and Peter Monk ESAIM: Mathematical Modelling and Numerical Analysis 47(1) 183 (2013) https://doi.org/10.1051/m2an/2012025
Improvements for the ultra weak variational formulation
T. Luostari, T. Huttunen and P. Monk International Journal for Numerical Methods in Engineering 94(6) 598 (2013) https://doi.org/10.1002/nme.4469
Error Estimates of the Finite Element Method for Interior Transmission Problems
S. Esterhazy and J. M. Melenk Lecture Notes in Computational Science and Engineering, Numerical Analysis of Multiscale Problems 83 285 (2012) https://doi.org/10.1007/978-3-642-22061-6_9
The Ultra Weak Variational Formulation Using Bessel Basis Functions
Plane wave discontinuous Galerkin methods: Analysis of theh-version
Claude J. Gittelson, Ralf Hiptmair and Ilaria Perugia ESAIM: Mathematical Modelling and Numerical Analysis 43(2) 297 (2009) https://doi.org/10.1051/m2an/2009002
Domain Decomposition Methods in Science and Engineering XVIII
Ralf Hiptmair and Ilaria Perugia Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XVIII 70 51 (2009) https://doi.org/10.1007/978-3-642-02677-5_5