Michael Plexousakis

Research interests

• the numerical solution of partial differential equations with finite element and finite volume methods
• a posteriori error estimation and adaptivity
• singular solutions of evolution equations
• scientific computing and visualization

Research Affiliations

• Institue of Applied and Computational Mathematics, Foundation for Research and Technology, Hellas (FO.R.T.H.)
• Archimedes Center for Modeling, Analysis and Computations (ACMAC).

Research grants

• Study of extreme weather phenomena in local regions and their impact to civil protection and the economy. Research Program "SYNERGASIA", Greek Secretariat of Research and Technology, 2011-2013.
• Optimal Managment of Dynamic Systems of the Economy and the Environment. Research Program "THALIS", Section: Social, Administrative and Economical sciences, 2012-2014, Ministry of Education, Lifelong Learning and Religious Affairs. 2012-2014.
• Έρευνα και ανάπτυξη εργαλείων τεχνικού λογισμικού για την εφαρμογή σύγχρονων μεθόδων αντισεισμικής προστασίας σε υπάρχοντα κτήρια. Ενοιαία Δράση Κρατικών Ενισχύσεων Έρευνας, Τεχνολογικής Ανάπτυξης & Καινοτομίας "Ερευνώ-Δημιουργώ-Καινοτομώ". Επιχειρησιακό Πρόγραμμα ΕΠΑνΕΚ 2014-2020.

Selected publications

• Approximations of the Helmholtz equation with variable wave number in one dimension (with D.A. Mitsoudis, G.N. Makrakis and Ch. Makridakis). Studies in Applied Mathematics (153) no. 4, (2024). doi.org/10.1111/sapm.12756.
• Helmholtz Equation with Artificial Boundary Conditions in a Two-Dimensional Waveguide (with D.A. Mitsoudis and Ch. Makridakis). SIAM J. Math. Anal. 44, (2012), no. 6, 4320-4344. doi:10.1137/120864052.
• A Finite Element Method with Nonlocal Boundary Conditions for the Helmholtz Equation with Complex Wavenumber in Stratified Waveguides (with D.A. Mitsoudis). Acta Acustica united with Acustica, 95 (2009), no. 4, 753-756. dx.doi.org/10.3813/AAA.918203.

Selected publications (cont.)

• A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain (with D.C. Antonopoulou). M2AN 53, no. 2, 523-549. doi.org/10.1051/m2an/2018059.
• Error control for time-splitting spectral approximations of the semiclassical Schrödinger equation (with I. Kyza and Ch. Makridakis). IMA J. Numer. Anal. 31, 2011, no. 2, 416-441. dx.doi.org/10.1993/imanum/drp044.
• Discontinuous Galerkin methods for the linear Schrödinger equation in non-cylindrical domains (with D.C. Antonopoulou). Numer. Math. 115, (2010), no. 4, 585-608. dx.doi.org/10.1007/s00211-010-0296-5.