[HTML][HTML] A class of space–time discretizations for the stochastic p-Stokes system

KN Le, J Wichmann - Stochastic Processes and their Applications, 2024 - Elsevier
The main objective of the present paper is to construct a new class of space–time
discretizations for the stochastic p-Stokes system and analyze its stability and convergence …

A hybrid high-order method for creeping flows of non-Newtonian fluids

M Botti, DC Quiroz, DA Di Pietro… - … Modelling and Numerical …, 2021 - esaim-m2an.org
In this paper, we design and analyze a Hybrid High-Order discretization method for the
steady motion of non-Newtonian, incompressible fluids in the Stokes approximation of small …

An averaged space–time discretization of the stochastic p-Laplace system

L Diening, M Hofmanová, J Wichmann - Numerische Mathematik, 2023 - Springer
We study the stochastic p-Laplace system in a bounded domain. We propose two new
space–time discretizations based on the approximation of time-averaged values. We …

A hybrid high-order method for the Sobolev equation

CM Xie, MF Feng, Y Luo - Applied Numerical Mathematics, 2022 - Elsevier
In this paper, we present a new hybrid high-order method for the Sobolev equation. For a
given positive integer k, we adopt the P k polynomials to approximate the discrete unknown …

A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour

D Castanon Quiroz, DA Di Pietro… - IMA Journal of …, 2023 - academic.oup.com
In this work, we design and analyse a Hybrid High-Order (HHO) discretization method for
incompressible flows of non-Newtonian fluids with power-like convective behaviour. We …

A Hybrid High-Order Method for a Class of Strongly Nonlinear Elliptic Boundary Value Problems

G Mallik, T Gudi - Journal of Scientific Computing, 2024 - Springer
In this article, we design and analyze a hybrid high-order (HHO) finite element
approximation for a class of strongly nonlinear boundary value problems. We consider an …

Discrete weak duality of hybrid high-order methods for convex minimization problems

NT Tran - SIAM Journal on Numerical Analysis, 2024 - SIAM
This paper derives a discrete dual problem for a prototypical hybrid high-order method for
convex minimization problems. The discrete primal and dual problem satisfy a weak convex …

AP\'eclet-robust discontinuous Galerkin method for nonlinear diffusion with advection

LB Da Veiga, DA Di Pietro, KB Haile - arXiv preprint arXiv:2402.09814, 2024 - arxiv.org
We analyze a Discontinuous Galerkin method for a problem with linear advection-reaction
and $ p $-type diffusion, with Sobolev indices $ p\in (1,\infty) $. The discretization of the …

A hybrid high-order method for quasilinear elliptic problems of nonmonotone type

T Gudi, G Mallik, T Pramanick - SIAM Journal on Numerical Analysis, 2022 - SIAM
In this paper, we design and analyze a hybrid high-order approximation for a class of
quasilinear elliptic problems of nonmonotone type. The proposed method has several …

A high-order local discontinuous Galerkin method for the -Laplace equation

Y Wu, Y Xu - arXiv preprint arXiv:2311.09119, 2023 - arxiv.org
We study the high-order local discontinuous Galerkin (LDG) method for the $ p $-Laplace
equation. We reformulate our spatial discretization as an equivalent convex minimization …