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06/26/2023
Trefftz Discontinuous Galerkin discretization for the Stokes problem
We introduce a new discretization based on the Trefftz-DG method for sol...
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05/23/2023
A discontinuous Galerkin approach for atmospheric flows with implicit condensation
We present a discontinuous Galerkin method for moist atmospheric dynamic...
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01/04/2023
High-order projection-based upwind method for implicit large eddy simulation
We assess the ability of three different approaches based on high-order ...
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07/18/2022
A conforming auxiliary space preconditioner for the mass conserving mixed stress method
We are studying the efficient solution of the system of linear equation ...
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06/29/2022
Analysis of Mixed Finite Elements for Elasticity. II. Weak stress symmetry
We consider mixed finite element methods for linear elasticity where the...
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05/23/2022
Mixed finite elements for Bingham flow in a pipe
We consider mixed finite element approximations of viscous, plastic Bing...
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05/13/2022
Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications
The quasi-static multiple network poroelastic theory (MPET) model, first...
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04/07/2022
A note on asymptotically exact a posteriori error estimates for mixed Laplace eigenvalue problems
We derive optimal and asymptotically exact a posteriori error estimates ...
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11/30/2021
Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids
We introduce a novel minimal order hybrid Discontinuous Galerkin (HDG) a...
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11/26/2021
Analysis of Mixed Finite Elements for Elasticity. I. Exact stress symmetry
We consider mixed finite element methods with exact symmetric stress ten...
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12/15/2020
Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model
We consider the quasi-static Biot's consolidation model in a three-field...
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08/13/2020
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations
This paper improves guaranteed error control for the Stokes problem with...
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05/13/2020
A Hellan-Herrmann-Johnson-like method for the stream function formulation of the Stokes equations in two and three space dimensions
We introduce a new discretization for the stream function formulation of...
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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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09/13/2019