A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems

Authors:
Bernardo Cockburn;Jayadeep Gopalakrishnan
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2004

Citing 0
Cited 11

An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations

Journal of Computational Physics
Block iterative solvers for higher order finite volume methods

Journal of Computational and Applied Mathematics
An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations

Journal of Computational Physics
Hybridization and Postprocessing Techniques for Mixed Eigenfunctions

SIAM Journal on Numerical Analysis
A Hybrid Discontinuous Galerkin Method for Elliptic Problems

SIAM Journal on Numerical Analysis
A New Family of Mixed Methods for the Reissner-Mindlin Plate Model Based on a System of First-Order Equations

Journal of Scientific Computing
A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations

SIAM Journal on Numerical Analysis
Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity

SIAM Journal on Numerical Analysis
To CG or to HDG: A Comparative Study

Journal of Scientific Computing
A hybrid mixed method for the compressible Navier-Stokes equations

Journal of Computational Physics
Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.02

Visualization

Abstract

In this paper, we give a new characterization of the approximate solution given by hybridized mixed methods for second order self-adjoint elliptic problems. We apply this characterization to obtain an explicit formula for the entries of the matrix equation for the Lagrange multiplier unknowns resulting from hybridization. We also obtain necessary and sufficient conditions under which the multipliers of the Raviart--Thomas and the Brezzi--Douglas--Marini methods of similar order are identical.