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07/07/2023
Error Analysis of an HDG Method with Impedance Traces for the Helmholtz Equation
In this work, a novel analysis of a hybrid discontinuous Galerkin method...
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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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04/26/2023
The Hellan-Herrmann-Johnson and TDNNS method for linear and nonlinear shells
In this paper we extend the recently introduced mixed Hellan-Herrmann-Jo...
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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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09/30/2022
Curing spurious magneto-mechanical coupling in soft non-magnetic materials
The present work is concerned with the issue of spurious coupling effect...
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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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06/19/2022
Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics
The metric tensor of a Riemannian manifold can be approximated using Reg...
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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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02/17/2022
Primal and mixed finite element formulations for the relaxed micromorphic model
The classical Cauchy continuum theory is suitable to model highly homoge...
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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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07/29/2021
Numerical shape optimization of the Canham-Helfrich-Evans bending energy
In this paper we propose a novel numerical scheme for the Canham-Helfric...
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03/24/2021
A Unified Rational Krylov Method for Elliptic and Parabolic Fractional Diffusion Problems
We present a unified framework to efficiently approximate solutions to f...
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01/12/2021
Convergence analysis of some tent-based schemes for linear hyperbolic systems
Finite element methods for symmetric linear hyperbolic systems using uns...
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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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11/26/2020
An algebraic multigrid method based on an auxiliary topology with edge matrices
This paper introduces a novel approach to algebraic multigrid methods fo...
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09/08/2020
Three-field mixed finite element methods for nonlinear elasticity
In this paper, we extend the tangential-displacement normal-normal-stres...
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05/11/2020
A finite-strain model for incomplete damage in elastoplastic materials
We address a three-dimensional model capable of describing coupled damag...
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05/07/2020
A Reduced Basis Method For Fractional Diffusion Operators II
We present a novel numerical scheme to approximate the solution map s u(...
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04/17/2020
A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems
We present an equilibration-based a posteriori error estimator for Nédél...
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02/27/2020
Structure aware Runge-Kutta time stepping for spacetime tents
We introduce a new class of Runge-Kutta type methods suitable for time s...
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02/20/2020
A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains
A Discontinuous Galerkin (DG) Finite Element Method (FEM) approach for t...
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01/21/2020
An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations
We introduce a new numerical method for the time-dependent Maxwell equat...
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09/13/2019
Divergence-free tangential finite element methods for incompressible flows on surfaces
In this work we consider the numerical solution of incompressible flows ...
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07/14/2019
Avoiding Membrane Locking with Regge Interpolation
In this paper a novel method to overcome membrane locking of thin shells...
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07/04/2019
Tent pitching and Trefftz-DG method for the acoustic wave equation
We present a space-time Trefftz discontinuous Galerkin method for approx...
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06/26/2019
An Explicit Mapped Tent Pitching Scheme for Maxwell Equations
We present a new numerical method for solving time dependent Maxwell equ...
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03/05/2019