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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...
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01/29/2023
Reduced Basis, Embedded Methods and Parametrized Levelset Geometry
In this chapter we examine reduced order techniques for geometrical para...
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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 ...
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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...
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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...
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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...
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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...
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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...
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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...
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07/23/2019