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09/01/2023
An Anisotropic hp-Adaptation Framework for Ultraweak Discontinuous Petrov-Galerkin Formulations
In this article, we present a three-dimensional anisotropic hp-mesh refi...
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08/31/2023
Multistage DPG time-marching scheme for nonlinear problems
In this article, we employ the construction of the time-marching Discont...
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07/10/2023
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides
In a time-harmonic setting, we show for heterogeneous acoustic and homog...
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04/04/2023
Scalable DPG Multigrid Solver for Helmholtz Problems: A Study on Convergence
This paper presents a scalable multigrid preconditioner targeting large-...
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06/29/2022
hp3D User Manual
User Manual for the hp3D Finite Element Software, available on GitHub at...
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01/03/2022
Deep neural networks for smooth approximation of physics with higher order and continuity B-spline base functions
This paper deals with the following important research question. Traditi...
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12/13/2021
Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law
Logarithmic conformation reformulations for viscoelastic constitutive la...
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07/15/2021
A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems
We present a Petrov-Gelerkin (PG) method for a class of nonlocal convect...
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10/14/2020
An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics
We propose an adaptive multigrid preconditioning technology for solving ...
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12/12/2019
A numerical study of the pollution error and DPG adaptivity for long waveguide simulations
High-frequency wave propagation has many important applications in acous...
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12/03/2019
A DPG Maxwell approach for studying nonlinear thermal effects in active gain fiber amplifiers
Multi-mode fiber lasers in high-power operation can suffer from undesire...
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11/06/2017