Error analysis of variable degree mixed methods for elliptic problems via hybridization
From MaRDI portal
Publication:5315412
DOI10.1090/S0025-5718-05-01741-2zbMath1078.65093OpenAlexW2078367662MaRDI QIDQ5315412
Jayadeep Gopalakrishnan, Bernardo Cockburn
Publication date: 8 September 2005
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-05-01741-2
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (30)
Convergence analysis of hybrid expanded mixed finite element method for elliptic equations ⋮ Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods ⋮ Multigrid in a weighted space arising from axisymmetric electromagnetics ⋮ Parallel Solver for $$\boldsymbol{H}$$ (div) Problems Using Hybridization and AMG ⋮ Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem ⋮ A comparison of hybridized and standard DG methods for target-based \textit{hp}-adaptive simulation of compressible flow ⋮ Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods ⋮ Abstract multiscale-hybrid-mixed methods ⋮ A hybrid mixed finite element method for convection-diffusion-reaction equation with local exponential fitting technique ⋮ Two-level Schwarz methods for hybridizable discontinuous Galerkin methods ⋮ To CG or to HDG: A comparative study ⋮ Inf-sup conditions for twofold saddle point problems ⋮ A remark concerning divergence accuracy order for \(\mathbf H(\operatorname{div})\)-conforming finite element flux approximations ⋮ Hierarchical mixed hybridized methods for elliptic problems ⋮ A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains ⋮ A unified study of continuous and discontinuous Galerkin methods ⋮ Coefficient Jump-Independent Approximation of the Conforming and Nonconforming Finite Element Solutions ⋮ BDDC algorithms for advection-diffusion problems with HDG discretizations ⋮ Mixed finite element analysis of lognormal diffusion and multilevel Monte Carlo methods ⋮ A convergent multigrid cycle for the hybridized mixed method ⋮ A multiscale hybrid method for Darcy's problems using mixed finite element local solvers ⋮ MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS ⋮ An a priori error estimate for a monotone mixed finite-element discretization of a convection-diffusion problem ⋮ A projection-based error analysis of HDG methods ⋮ Convergence and optimality of adaptive mixed finite element methods ⋮ New hybridization techniques ⋮ Three dimensional hierarchical mixed finite element approximations with enhanced primal variable accuracy ⋮ Algebraic Hybridization and Static Condensation with Application to Scalable $H$(div) Preconditioning ⋮ A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations ⋮ Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes
Cites Work
- Unnamed Item
- Unnamed Item
- Two families of mixed finite elements for second order elliptic problems
- de Rham diagram for \(hp\) finite element spaces
- An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems
- Solvability and Galerkin approximations of a class of nonlinear operator equations
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- Mixed and Hybrid Finite Element Methods
- On the Stability and Convergence of Higher-Order Mixed Finite Element Methods for Second-Order Elliptic Problems
- A Schwarz Preconditioner for a Hybridized Mixed Method
- A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems
- On the numerical analysis of nonlinear twofold saddle point problems
- On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
This page was built for publication: Error analysis of variable degree mixed methods for elliptic problems via hybridization