Charalambos G. Makridakis

54 papers Journal 54

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A class of discontinuous Galerkin methods for nonlinear variational problems. Math. Comput. Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Andreas Vikelis
2025	J	`jnl`	A generative modeling / Physics-Informed Neural Network approach to random differential equations. CoRR Georgios Arampatzis, Stylianos Katsarakis, Charalambos G. Makridakis
2025	J	`jnl`	Convergence of Discontinuous Galerkin Methods for Quasiconvex and Relaxed Variational Problems. CoRR Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Andreas P. Vikelis
2025	J	`jnl`	Deep Uzawa for Kinetic Transport with Lagrange-Enforced Boundaries. CoRR Charalambos G. Makridakis, Aaron Pim, Tristan Pryer, Nikolaos Rekatsinas
2025	J	`jnl`	PINN-DG: Residual neural network methods trained with Finite Elements. CoRR Georgios Grekas, Charalambos G. Makridakis, Tristan Pryer
2025	J	`jnl`	Runge-Kutta physics informed neural networks: formulation and analysis. Numerische Mathematik Georgios Akrivis, Charalambos G. Makridakis, Costas Smaragdakis
2025	J	`jnl`	Variational Principles for the Helmholtz equation: application to Finite Element and Neural Network approximations. CoRR G. Makrakis, Charalambos G. Makridakis, D. A. Mitsoudis, Michael Plexousakis, Tristan Pryer
2024	J	`jnl`	A Deep Uzawa-Lagrange Multiplier Approach for Boundary Conditions in PINNs and Deep Ritz Methods. CoRR Charalambos G. Makridakis, Aaron Pim, Tristan Pryer
2024	J	`jnl`	Compressive instabilities enable cell-induced extreme densification patterns in the fibrous extracellular matrix: Discrete model predictions. PLoS Comput. Biol. Chrysovalantou Kalaitzidou, Georgios Grekas, Andreas Zilian, Charalambos G. Makridakis, Phoebus Rosakis
2024	J	`jnl`	Deep Ritz - Finite Element methods: Neural Network Methods trained with Finite Elements. CoRR Georgios Grekas, Charalambos G. Makridakis
2024	J	`jnl`	Deep Uzawa for PDE constrained optimisation. CoRR Charalambos G. Makridakis, Aaron Pim, Tristan Pryer
2024	J	`jnl`	Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems. CoRR Omar Lakkis, Charalambos G. Makridakis
2024	J	`jnl`	Runge-Kutta Physics Informed Neural Networks: Formulation and Analysis. CoRR Georgios Akrivis, Charalambos G. Makridakis, Costas Smaragdakis
2023	J	`jnl`	A class of Discontinuous Galerkin methods for nonlinear variational problems. CoRR Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Andreas P. Vikelis
2023	J	`jnl`	A new approach to generalisation error of machine learning algorithms: Estimates and convergence. CoRR Michail Loulakis, Charalambos G. Makridakis
2023	J	`jnl`	On the Stability and Convergence of Physics Informed Neural Networks. CoRR Dimitrios Gazoulis, Ioannis Gkanis, Charalambos G. Makridakis
2022	J	`jnl`	A posteriori error analysis for approximations of time-fractional subdiffusion problems. CoRR Lehel Banjai, Charalambos G. Makridakis
2022	J	`jnl`	A posteriori error analysis for approximations of time-fractional subdiffusion problems. Math. Comput. Lehel Banjai, Charalambos G. Makridakis
2022	J	`jnl`	A posteriori error estimates for Radau IIA methods via maximal parabolic regularity. Numerische Mathematik Georgios Akrivis, Charalambos G. Makridakis
2022	J	`jnl`	Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis. SIAM J. Numer. Anal. Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Phoebus Rosakis
2022	J	`jnl`	On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods. SIAM J. Numer. Anal. Georgios Akrivis, Charalambos G. Makridakis
2021	J	`jnl`	A new class of entropy stable schemes for hyperbolic systems: Finite element methods. Math. Comput. Ioannis Gkanis, Charalambos G. Makridakis
2019	J	`jnl`	Approximations of cell-induced phase transitions in fibrous biomaterials: Γ-convergence analysis. CoRR Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Phoebus Rosakis
2018	J	`jnl`	On the Babuška-Osborn approach to finite element analysis: $L^2$ estimates for unstructured meshes. Numerische Mathematik Charalambos G. Makridakis
2016	J	`jnl`	A Posteriori Error Estimates for Leap-Frog and Cosine Methods for Second Order Evolution Problems. SIAM J. Numer. Anal. Emmanuil H. Georgoulis, Omar Lakkis, Charalambos G. Makridakis, Juha M. Virtanen
2015	J	`jnl`	A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws. SIAM J. Numer. Anal. Jan Giesselmann, Charalambos G. Makridakis, Tristan Pryer
2015	J	`jnl`	A comparison of duality and energy a posteriori estimates for L Math. Comput. Omar Lakkis, Charalambos G. Makridakis, Tristan Pryer
2015	J	`jnl`	A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation. Math. Comput. Ohannes A. Karakashian, Charalambos G. Makridakis
2014	J	`jnl`	Energy consistent discontinuous Galerkin methods for the Navier-Stokes-Korteweg system. Math. Comput. Jan Giesselmann, Charalambos G. Makridakis, Tristan Pryer
2013	J	`jnl`	Interior a posteriori error estimates for time discrete approximations of parabolic problems. Numerische Mathematik Christian Lubich, Charalambos G. Makridakis
2012	J	`jnl`	A Posteriori Error Control for Fully Discrete Crank-Nicolson Schemes. SIAM J. Numer. Anal. Eberhard Bänsch, Fotini Karakatsani, Charalambos G. Makridakis
2012	J	`jnl`	Helmholtz Equation with Artificial Boundary Conditions in a Two-Dimensional Waveguide. SIAM J. Math. Anal. D. A. Mitsoudis, Charalambos G. Makridakis, Michael Plexousakis
2011	J	`jnl`	A priori error analysis of two force-based atomistic/continuum models of a periodic chain. Numerische Mathematik Charalambos G. Makridakis, Christoph Ortner, Endre Süli
2011	J	`jnl`	Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations. SIAM J. Numer. Anal. Irene Kyza, Charalambos G. Makridakis
2011	J	`jnl`	Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. Numerische Mathematik Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
2010	J	`jnl`	Sharply local pointwise a posteriori error estimates for parabolic problems. Math. Comput. Alan Demlow, Charalambos G. Makridakis
2009	J	`jnl`	A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems. SIAM J. Numer. Anal. Alan Demlow, Omar Lakkis, Charalambos G. Makridakis
2009	J	`jnl`	Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. Numerische Mathematik Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
2008	J	`jnl`	A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces. Numerische Mathematik Eduardo Cuesta, Charalambos G. Makridakis
2007	J	`jnl`	Error Control for a Class of Runge-Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws. SIAM J. Numer. Anal. Andreas Dedner, Charalambos G. Makridakis, Mario Ohlberger
2006	J	`jnl`	A posteriori error analysis for higher order dissipative methods for evolution problems. Numerische Mathematik Charalambos G. Makridakis, Ricardo H. Nochetto
2006	J	`jnl`	A posteriori error estimates for the Crank-Nicolson method for parabolic equations. Math. Comput. Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
2006	J	`jnl`	Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems. Math. Comput. Omar Lakkis, Charalambos G. Makridakis
2005	J	`jnl`	Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations. Math. Comput. Ohannes A. Karakashian, Charalambos G. Makridakis
2004	J	`jnl`	Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws. SIAM J. Numer. Anal. Christos Arvanitis, Charalambos G. Makridakis, Athanasios E. Tzavaras
2003	J	`jnl`	Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems. SIAM J. Numer. Anal. Charalambos G. Makridakis, Ricardo H. Nochetto
2003	J	`jnl`	Optimal Rate of Convergence for Anisotropic Vanishing Viscosity Limit of a Scalar Balance Law. SIAM J. Math. Anal. Charalambos G. Makridakis, Benoît Perthame
2003	J	`jnl`	Sharp CFL, Discrete Kinetic Formulation, and Entropic Schemes for Scalar Conservation Laws. SIAM J. Numer. Anal. Charalambos G. Makridakis, Benoit Perthame
2001	J	`jnl`	Finite volume relaxation schemes for multidimensional conservation laws. Math. Comput. Theodoros Katsaounis, Charalambos G. Makridakis
2000	J	`jnl`	Two A Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws. SIAM J. Numer. Anal. Laurent Gosse, Charalambos G. Makridakis
1999	J	`jnl`	Finite volume schemes for Hamilton-Jacobi equations. Numerische Mathematik Georgios Kossioris, Charalambos G. Makridakis, Panagiotis E. Souganidis
1999	J	`jnl`	Implicit-explicit multistep methods for quasilinear parabolic equations. Numerische Mathematik Georgios Akrivis, Michel Crouzeix, Charalambos G. Makridakis
1998	J	`jnl`	A space-time finite element method for the nonlinear Schröinger equation: the discontinuous Galerkin method. Math. Comput. Ohannes A. Karakashian, Charalambos G. Makridakis
1998	J	`jnl`	Implicit-explicit multistep finite element methods for nonlinear parabolic problems. Math. Comput. Georgios Akrivis, Michel Crouzeix, Charalambos G. Makridakis