Hybridized discontinuous Galerkin/hybrid mixed methods for a multiple network poroelasticity model with application in biomechanics
The quasi-static multiple-network poroelastic theory (MPET) model, first introduced in the
context of geomechanics [G. Barenblatt, G. Zheltov, and I. Kochina, J. Appl. Math. Mech., 24 …
context of geomechanics [G. Barenblatt, G. Zheltov, and I. Kochina, J. Appl. Math. Mech., 24 …
Homogeneous multigrid for HDG
We introduce a multigrid method that is homogeneous in the sense that it uses the same
hybridizable discontinuous Galerkin (HDG) discretization scheme for Poisson's equation on …
hybridizable discontinuous Galerkin (HDG) discretization scheme for Poisson's equation on …
Gradient robust mixed methods for nearly incompressible elasticity
SR Basava, W Wollner - Journal of Scientific Computing, 2023 - Springer
Within the last years pressure robust methods for the discretization of incompressible fluids
have been developed. These methods allow the use of standard finite elements for the …
have been developed. These methods allow the use of standard finite elements for the …
[HTML][HTML] To℘ or not to p–the mixed displacement–pressure p, versus the higher order℘ displacement finite element formulation, for nearly incompressible linear …
A Zdunek, W Rachowicz - Computers & Mathematics with Applications, 2023 - Elsevier
A locking-free (℘≥ 4 1) pure displacement finite element (FE) formulation is compared to an
inf-sup stable (℘≥ 2) displacement–pressure mixed FE formulation for nearly …
inf-sup stable (℘≥ 2) displacement–pressure mixed FE formulation for nearly …
Isogeometric collocation: A mixed displacement-pressure method for nearly incompressible elasticity
S Morganti, F Fahrendorf… - … in Engineering & …, 2021 - research-collection.ethz.ch
We investigate primal and mixed u− p isogeometric collocation methods for application to
nearly-incompressible isotropic elasticity. The primal method employs Navier's equations in …
nearly-incompressible isotropic elasticity. The primal method employs Navier's equations in …
On pressure robustness and independent determination of displacement and pressure in incompressible linear elasticity
A Zdunek, M Neunteufel, W Rachowicz - Computer Methods in Applied …, 2023 - Elsevier
We investigate the possibility to determine the divergence-free displacement u
independently from the pressure reaction p for a class of boundary-value problems in …
independently from the pressure reaction p for a class of boundary-value problems in …
Two-level Schwarz methods for hybridizable discontinuous Galerkin methods
In this paper, we propose two-level domain decomposition methods for hybridizable
discontinuous Galerkin discretizations including hybridized local discontinuous Galerkin …
discontinuous Galerkin discretizations including hybridized local discontinuous Galerkin …
Optimal Geometric Multigrid Preconditioners for HDG-P0 Schemes for the reaction-diffusion equation and the Generalized Stokes equations
We present the lowest-order hybridizable discontinuous Galerkin schemes with numerical
integration (quadrature), denoted as HDG-P0 for the reaction-diffusion equation and the …
integration (quadrature), denoted as HDG-P0 for the reaction-diffusion equation and the …
Analysis of a P 1⊕ RT 0 finite element method for linear elasticity with Dirichlet and mixed boundary conditions
H Li, X Li, H Rui - Advances in Computational Mathematics, 2024 - Springer
In this paper, we investigate a low-order robust numerical method for the linear elasticity
problem. The method is based on a Bernardi–Raugel-like H (div)-conforming method …
problem. The method is based on a Bernardi–Raugel-like H (div)-conforming method …
A monolithic divergence-conforming hdg scheme for a linear fluid-structure interaction model
We present a novel monolithic divergence-conforming HDG scheme for a linear fluid-
structure interaction problem with a thick structure. A pressure-robust optimal energy-norm …
structure interaction problem with a thick structure. A pressure-robust optimal energy-norm …