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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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10/20/2021
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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02/23/2021
Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes
We develop an approach to generating degree-of-freedom maps for arbitrar...
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11/05/2020
Accelerating numerical methods for nonlinear acoustics using nested meshes
The numerical simulation of nonlinear ultrasound is important in the tre...
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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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04/26/2018
Scalable computation of thermomechanical turbomachinery problems
A commonly held view is that finite element methods are not well-suited ...
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04/25/2017
A hybridizable discontinuous Galerkin method for the Navier--Stokes equations with pointwise divergence-free velocity field
We introduce a hybridizable discontinuous Galerkin method for the incomp...
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08/26/2016