A Review of Hybrid High-Order Methods: Formulations, Computational Aspects, Comparison with Other Methods
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- Type
- review
- Published
- 2016-09-01
- Cited by
- 48
- References
- 45
- Access
- Open access
- OpenAlex
- https://openalex.org/W1834161719
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:120177825
Keywords
Discretization, Mathematics, Applied mathematics, Dirichlet distribution, Term (time)
References
- The Mimetic Finite Difference Method for Elliptic Problems
- Mathematical Aspects of Discontinuous Galerkin Methods
- Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes
- Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
- A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes
- A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes
- A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
- An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow
- A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients
- An Arbitrary-Order and Compact-Stencil Discretization of Diffusion on General Meshes Based on Local Reconstruction Operators
- Cell centered Galerkin methods for diffusive problems
- Multiscale Hybrid-Mixed Method
- Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes
- Virtual Element Methods for plate bending problems
- Discontinuous Galerkin approximations for elliptic problems
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- A weak Galerkin mixed finite element method for second order elliptic problems
- Koiter Estimate Revisited
- An Interior Penalty Finite Element Method with Discontinuous Elements
Cited by
- High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows
- A note on the devising of superconvergent HDG methods for Stokes flow by M-decompositions
- An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics
- An hp-Hybrid High-Order Method for Variable Diffusion on General Meshes
- Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming
- A Multi-scale Hybrid High-Order method
- High-order polygonal discontinuous Petrov–Galerkin (PolyDPG) methods using ultraweak formulations
- A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media
- Hybrid High-Order methods for finite deformations of hyperelastic materials
- Numerical resolution of partial differential equations with variable coefficients
- A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems
- A primal discontinuous Galerkin method with static condensation on very general meshes
- Hybrid high-order methods for interface problems
- Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media
- A multiscale hybrid method for Darcy’s problems using mixed finite element local solvers
- A projective hybridizable discontinuous Galerkin mixed method for second-order diffusion problems
- The Hybrid High-Order Method for Polytopal Meshes
- A fully coupled scheme using virtual element method and finite volume for poroelasticity
- Multimesh finite elements with flexible mesh sizes
- Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems
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