132 citations
- University of CreteGR52 papers
- Foundation for Research and Technology HellasGR31 papers
- National Technical University of AthensGR16 papers
- National and Kapodistrian University of AthensGR15 papers
- University of MessinaIT10 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Polytechnic University of BariIT7 papers
- University of SussexGB7 papers
- King Abdullah University of Science and TechnologySA6 papers
- FORTH Institute of Electronic Structure and LaserGR5 papers
- Suzhou Institute of Nano-tech and Nano-bionicsCN5 papers
- Chinese Academy of SciencesCN4 papers
4 papers · 1 filter
Crank-Nicolson Finite Element Discretizations for a 2D Linear Schrödinger-Type Equation Posed in a Noncylindrical Domain
D. C. Antonopoulou, G. D. Karali, M. Plexousakis +1
Motivated by the paraxial narrow-angle approximation of the Helmholtz equation in domains of variable topography that appears as an important application in Underwater Acoustics, w…
A Finite Difference method for the Wide-Angle `Parabolic' equation in a waveguide with downsloping bottom
D. C. Antonopoulou, V. A. Dougalis, G. E. Zouraris
We consider the third-order wide-angle `parabolic' equation of underwater acoustics in a cylindrically symmetric fluid medium over a bottom of range-dependent bathymetry. It is kno…
Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics
Sophia Demoulini, David Stuart, Athanasios Tzavaras
For the equations of elastodynamics with polyconvex stored energy, and some related simpler systems, we define a notion of dissipative measure-valued solution and show that such a…
Dispersive wave runup on non-uniform shores
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis
Historically the finite volume methods have been developed for the numerical integration of conservation laws. In this study we present some recent results on the application of su…