Efthymios N. Karatzas | DeepAI

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∙ 01/29/2023

hp-version analysis for arbitrarily shaped elements on the boundary discontinuous Galerkin method for Stokes systems

In the present work, we examine and analyze an alternative of the unfitt...

0 Efthymios N. Karatzas, et al. ∙

∙ 01/29/2023

Reduced Basis, Embedded Methods and Parametrized Levelset Geometry

In this chapter we examine reduced order techniques for geometrical para...

0 Efthymios N. Karatzas, et al. ∙

∙ 01/24/2022

Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method

We consider fully discrete embedded finite element approximations for a ...

0 Xianyi Zeng, et al. ∙

∙ 10/18/2020

Discrete Empirical Interpolation and unfitted mesh FEMs: application in PDE-constrained optimization

In this work, we investigate the performance CutFEM as a high fidelity s...

0 Georgios Katsouleas, et al. ∙

∙ 10/10/2020

A Reduced Order Cut Finite Element method for geometrically parameterized steady and unsteady Navier-Stokes problems

This work focuses on steady and unsteady Navier-Stokes equations in a re...

0 Efthymios N. Karatzas, et al. ∙

∙ 09/03/2020

A Reduced Order Model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements

In the present work, we investigate for the first time with a cut finite...

0 Efthymios N. Karatzas, et al. ∙

∙ 05/31/2020

Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems

In this work, we analyze an unfitted discontinuous Galerkin discretizati...

0 Georgios Katsouleas, et al. ∙

∙ 03/13/2020

Cut finite element error estimates for a class of nonlinear elliptic PDEs

Motivated by many applications in complex domains with boundaries expose...

0 Georgios Katsouleas, et al. ∙

∙ 02/29/2020

Random geometries and Quasi Monte Carlo methods for optimal control PDE problems based on fictitious domain FEMS and cut elements

This work investigates an elliptic optimal control problem defined on un...

0 Aikaterini Aretaki, et al. ∙

∙ 07/23/2019

A Reduced-Order Shifted Boundary Method for Parametrized incompressible Navier-Stokes equations

We investigate a projection-based reduced-order model of the steady inco...

0 Efthymios N. Karatzas, et al. ∙

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