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
Finite volume methods for unidirectional dispersive wave models
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis
We extend the framework of the finite volume method to dispersive unidirectional water wave propagation in one space dimension. In particular we consider a KdV-BBM type equation. E…
Notes on error estimates for Galerkin approximations of the 'classical' Boussinesq system and related hyperbolic problems
D. C. Antonopoulos, V. A. Dougalis
We consider the `classical' Boussinesq system in one space dimension and its symmetric analog. These systems model two-way propagation of nonlinear, dispersive long waves of small…
Finite volume schemes for dispersive wave propagation and runup
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis
Finite volume schemes are commonly used to construct approximate solutions to conservation laws. In this study we extend the framework of the finite volume methods to dispersive wa…
A posteriori -error bounds in finite element approximation of the wave equation
Emmanuil H. Georgoulis, Omar Lakkis, Charalambos Makridakis
We address the error control of Galerkin discretization (in space) of linear second order hyperbolic problems. More specifically, we derive a posteriori error bounds in the L\infty…