51 citations · 92 across the 14 of their papers we have counts for
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Numerical approximation of the Stochastic Cahn-Hilliard Equation near the Sharp Interface Limit
Dimitra Antonopoulou, Lubomir Banas, Robert Nürnberg +1
We consider the stochastic Cahn-Hilliard equation with additive noise term () that scales with the interfacial width parameter . We ver…
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…
Galerkin Methods for Parabolic and SCHR{Ö}DINGER Equations with Dynamical Boundary Conditions and Applications to Underwater Acoustics
D. C. Antonopoulou, V. A. Dougalis, G. E. Zouraris
In this paper we consider Galerkin-finite element methods that approximate the solutions of initial-boundary-value problems in one space dimension for parabolic and Schrödinger evo…