[图书][B] Mixed finite element methods and applications
D Boffi, F Brezzi, M Fortin - 2013 - Springer
About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …
went out of print and we were asked to allow a second printing. The world had evolved and …
An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations
We present an implicit high-order hybridizable discontinuous Galerkin method for the steady-
state and time-dependent incompressible Navier–Stokes equations. The method is devised …
state and time-dependent incompressible Navier–Stokes equations. The method is devised …
[图书][B] Finite element exterior calculus
DN Arnold - 2018 - SIAM
Computational methods to approximate the solution of differential equations play a crucial
role in science, engineering, mathematics, and technology. Indeed, the key processes which …
role in science, engineering, mathematics, and technology. Indeed, the key processes which …
Devising HDG methods for Stokes flow: an overview
B Cockburn, K Shi - Computers & Fluids, 2014 - Elsevier
We provide a short overview of our recent work on the devising of hybridizable
discontinuous Galerkin (HDG) methods for the Stokes equations of incompressible flow …
discontinuous Galerkin (HDG) methods for the Stokes equations of incompressible flow …
[PDF][PDF] Analysis of HDG methods for Stokes flow
In this paper, we analyze a hybridizable discontinuous Galerkin method for numerically
solving the Stokes equations. The method uses polynomials of degree $ k $ for all the …
solving the Stokes equations. The method uses polynomials of degree $ k $ for all the …
An HDG method for linear elasticity with strong symmetric stresses
This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear
elasticity on general polyhedral meshes, based on a strong symmetric stress formulation …
elasticity on general polyhedral meshes, based on a strong symmetric stress formulation …
Robust error analysis of coupled mixed methods for Biot's consolidation model
JJ Lee - Journal of Scientific Computing, 2016 - Springer
We study the a priori error analysis of finite element methods for Biot's consolidation model.
We consider a formulation which has the stress tensor, the fluid flux, the solid displacement …
We consider a formulation which has the stress tensor, the fluid flux, the solid displacement …
A comparison of HDG methods for Stokes flow
In this paper, we compare hybridizable discontinuous Galerkin (HDG) methods for
numerically solving the velocity-pressure-gradient, velocity-pressure-stress, and velocity …
numerically solving the velocity-pressure-gradient, velocity-pressure-stress, and velocity …
A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids
J Hu, SY Zhang - Science China Mathematics, 2015 - Springer
A family of stable mixed finite elements for the linear elasticity on tetrahedral grids are
constructed, where the stress is approximated by symmetric H (div)-P k polynomial tensors …
constructed, where the stress is approximated by symmetric H (div)-P k polynomial tensors …
Discontinuous G alerkin Methods for Computational Fluid Dynamics
B Cockburn - Encyclopedia of computational mechanics, 2004 - Wiley Online Library
The discontinuous Galerkin methods are locally conservative, high‐order accurate, and
robust methods that can easily handle elements of arbitrary shapes, irregular triangulations …
robust methods that can easily handle elements of arbitrary shapes, irregular triangulations …