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08/29/2023
A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem
In this paper we present a hybridizable discontinuous Galerkin method fo...
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08/28/2023
A hybridizable discontinuous Galerkin method for the dual-porosity-Stokes problem
We introduce and analyze a hybridizable discontinuous Galerkin (HDG) met...
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08/23/2023
Space-time hybridizable discontinuous Galerkin method for advection-diffusion on deforming domains: The advection-dominated regime
We analyze a space-time hybridizable discontinuous Galerkin method to so...
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06/08/2023
Design and analysis of a hybridized discontinuous Galerkin method for incompressible flows on meshes with quadrilateral cells
We present and analyse a hybridized discontinuous Galerkin method for in...
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10/13/2022
A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes and Darcy problem
We present and analyze a strongly conservative hybridizable discontinuou...
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07/25/2022
Hybridizable discontinuous Galerkin methods for the coupled Stokes–Biot problem
We present and analyze a hybridizable discontinuous Galerkin (HDG) finit...
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07/25/2022
Analysis of an embedded-hybridizable discontinuous Galerkin method for Biot's consolidation model
We present an embedded-hybridizable discontinuous Galerkin finite elemen...
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05/09/2022
A hybridizable discontinuous Galerkin method for the fully coupled time-dependent Stokes/Darcy-transport problem
We present a high-order hybridized discontinuous Galerkin (HDG) method f...
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03/28/2022
An algebraic preconditioner for the exactly divergence-free discontinuous Galerkin method for Stokes
We present an optimal preconditioner for the exactly divergence-free dis...
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10/26/2021
An interface-tracking space-time hybridizable/embedded discontinuous Galerkin method for nonlinear free-surface flows
We present a compatible space-time hybridizable/embedded discontinuous G...
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10/22/2021
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier–Stokes equations
We prove that a space-time hybridized discontinuous Galerkin method for ...
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10/20/2021
Analysis of pressure-robust embedded-hybridized discontinuous Galerkin methods for the Stokes problem under minimal regularity
We present analysis of two lowest-order hybridizable discontinuous Galer...
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05/19/2021
Preconditioning for a pressure-robust HDG discretization of the Stokes equations
We introduce a new preconditioner for a recently developed pressure-robu...
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03/24/2021
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations
We introduce and analyze a space-time hybridized discontinuous Galerkin ...
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10/21/2020
AIR algebraic multigrid for a space-time hybridizable discontinuous Galerkin discretization of advection(-diffusion)
This paper investigates the efficiency, robustness, and scalability of a...
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07/09/2020
A compatible embedded-hybridized discontinuous Galerkin method for the Stokes–Darcy-transport problem
We present a stability and error analysis of an embedded-hybridized disc...
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06/19/2020
Local Fourier analysis of multigrid for hybridized and embedded discontinuous Galerkin methods
In this paper we present a geometric multigrid method with Jacobi and Va...
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02/12/2020
A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators
The embedded discontinuous Galerkin (EDG) finite element method for the ...
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11/06/2019
On fixed-point, Krylov, and 2× 2 block preconditioners for nonsymmetric problems
The solution of matrices with 2× 2 block structure arises in numerous ar...
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11/05/2019
A hybridized discontinuous Galerkin method for Poisson-type problems with sign-changing coefficients
In this paper, we present a hybridized discontinuous Galerkin (HDG) meth...
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10/18/2019
An exactly mass conserving space-time embedded-hybridized discontinuous Galerkin method for the Navier-Stokes equations on moving domains
This paper presents a space-time embedded-hybridized discontinuous Galer...
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10/16/2019
A space-time hybridizable discontinuous Galerkin method for linear free-surface waves
We present and analyze a novel space-time hybridizable discontinuous Gal...
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05/23/2019
An embedded--hybridized discontinuous Galerkin method for the coupled Stokes--Darcy system
We introduce an embedded--hybridized discontinuous Galerkin (EDG--HDG) m...
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11/22/2018
An embedded--hybridized discontinuous Galerkin finite element method for the Stokes equations
We present and analyze a new embedded--hybridized discontinuous Galerkin...
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04/25/2017