Vassilios A. Dougalis

Publication Activity (10 Years)

Years Active: 2000-2021
Publications (10 Years): 12

Top Topics

Error Estimates

Numerical Solution

Finite Element Methods

Cross Validation

Top Venues

Math. Comput. Simul.

SIAM J. Numer. Anal.

Publications

Vassilios A. Dougalis, A. Durán, Leetha Saridaki
Notes on the Boussinesq-Full dispersion systems for internal waves: Numerical solution and solitary waves. CoRR (2021)
D. C. Antonopoulos, Vassilios A. Dougalis, D. E. Mitsotakis
Corrigendum: Error Estimates for Galerkin Approximations of the Serre Equations. SIAM J. Numer. Anal. 59 (6) (2021)
D. C. Antonopoulos, Vassilios A. Dougalis, D. E. Mitsotakis
On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations. CoRR (2021)
Vassilios A. Dougalis, Angel Durán, Leetha Saridaki
Numerical solution of internal-wave systems in the intermediate long wave and the Benjamin-Ono regimes. CoRR (2021)
Vassilios A. Dougalis, Angel Durán
A high order fully discrete scheme for the Korteweg-de vries equation with a time-stepping procedure of Runge-Kutta-composition type. CoRR (2020)
Grigorios Kounadis, Vassilios A. Dougalis
Galerkin finite element methods for the Shallow Water equations over variable bottom. J. Comput. Appl. Math. 373 (2020)
Grigorios Kounadis, D. C. Antonopoulos, Vassilios A. Dougalis
Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography. CoRR (2020)
Vassilios A. Dougalis, Angel Durán, Leetha Saridaki
Notes on numerical analysis and solitary wave solutions of Boussinesq/Boussinesq systems for internal waves. CoRR (2020)
D. C. Antonopoulos, Vassilios A. Dougalis, D. E. Mitsotakis
Error estimates for Galerkin finite element methods for the Camassa-Holm equation. Numerische Mathematik 142 (4) (2019)
D. C. Antonopoulos, Vassilios A. Dougalis, D. E. Mitsotakis
Error Estimates for Galerkin Approximations of the Serre Equations. SIAM J. Numer. Anal. 55 (2) (2017)
D. C. Antonopoulos, Vassilios A. Dougalis
Error estimates for the standard Galerkin-finite element method for the shallow water equations. Math. Comput. 85 (299) (2016)
Vassilios A. Dougalis, Angel Durán, D. E. Mitsotakis
Numerical approximation of solitary waves of the Benjamin equation. Math. Comput. Simul. 127 (2016)
D. C. Antonopoulos, Vassilios A. Dougalis
Error estimates for Galerkin approximations of the "classical" Boussinesq system. Math. Comput. 82 (282) (2013)
D. C. Antonopoulos, Vassilios A. Dougalis
Numerical solution of the 'classical' Boussinesq system. Math. Comput. Simul. 82 (6) (2012)
Evangelia T. Flouri, Dimitrios Mitsoudis, Nektarios Chrysoulakis, Manolis Diamandakis, Vassilios A. Dougalis, Costas E. Synolakis
Mathematical Modelling of Tsunami Waves. ERCIM News 2010 (81) (2010)
Vassilios A. Dougalis, D. E. Mitsotakis, Jean-Claude Saut
Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis. J. Sci. Comput. 44 (2) (2010)
D. C. Antonopoulou, Vassilios A. Dougalis, Georgios E. Zouraris
Galerkin Methods for Parabolic and Schrödinger Equations with Dynamical Boundary Conditions and Applications to Underwater Acoustics. SIAM J. Numer. Anal. 47 (4) (2009)
Jerry L. Bona, Vassilios A. Dougalis, D. E. Mitsotakis
Numerical solution of KdV-KdV systems of Boussinesq equations: I. The numerical scheme and generalized solitary waves. Math. Comput. Simul. 74 (2-3) (2007)
Vassilios A. Dougalis, Angel Durán, M. A. López-Marcos, D. E. Mitsotakis
A Numerical Study of the Stability of Solitary Waves of the Bona-Smith Family of Boussinesq Systems. J. Nonlinear Sci. 17 (6) (2007)
Georgios Akrivis, Vassilios A. Dougalis, Ohannes A. Karakashian, W. R. McKinney
Numerical Approximation of Blow-Up of Radially Symmetric Solutions of the Nonlinear Schrödinger Equation. SIAM J. Sci. Comput. 25 (1) (2003)
Georgios Akrivis, Vassilios A. Dougalis, Georgios E. Zouraris
Finite Difference Schemes for the "Parabolic" Equation in a Variable Depth Environment with a Rigid Bottom Boundary Condition. SIAM J. Numer. Anal. 39 (2) (2001)
Beatrice Pelloni, Vassilios A. Dougalis
Numerical Solution of Some Nonlocal, Nonlinear Dispersive Wave Equations. J. Nonlinear Sci. 10 (1) (2000)