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A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity
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Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
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Virtual element methods for nonlocal parabolic problems on general type of meshes
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A note on devising HDG+ projections on polyhedral elements
Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem
Gabriel R. Barrenechea, Michał Bosy, Victorita Dolean, Frédéric Nataf and Pierre-Henri Tournier Computational Methods in Applied Mathematics 19(4) 703 (2019) https://doi.org/10.1515/cmam-2018-0005
Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods
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Hybridized CutFEM for Elliptic Interface Problems
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A Hybrid High‐Order method for finite elastoplastic deformations within a logarithmic strain framework
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A primal discontinuous Galerkin method with static condensation on very general meshes
A multigrid algorithm for the p-version of the virtual element method
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A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics
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Non-conforming Harmonic Virtual Element Method: $$h$$ h - and $$p$$ p -Versions
Lowest order Virtual Element approximation of magnetostatic problems
L. Beirão da Veiga, F. Brezzi, F. Dassi, L.D. Marini and A. Russo Computer Methods in Applied Mechanics and Engineering 332 343 (2018) https://doi.org/10.1016/j.cma.2017.12.028
Spectral approximation of elliptic operators by the Hybrid High-Order method
Victor Calo, Matteo Cicuttin, Quanling Deng and Alexandre Ern Mathematics of Computation 88(318) 1559 (2018) https://doi.org/10.1090/mcom/3405
A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows
High-order polygonal discontinuous Petrov–Galerkin (PolyDPG) methods using ultraweak formulations
Ali Vaziri Astaneh, Federico Fuentes, Jaime Mora and Leszek Demkowicz Computer Methods in Applied Mechanics and Engineering 332 686 (2018) https://doi.org/10.1016/j.cma.2017.12.011
A Hybrid High-Order discretisation of the Brinkman problem robust in the Darcy and Stokes limits
Lorenzo Botti, Daniele A. Di Pietro and Jérôme Droniou Computer Methods in Applied Mechanics and Engineering 341 278 (2018) https://doi.org/10.1016/j.cma.2018.07.004
A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
Ruben Sevilla, Matteo Giacomini, Alexandros Karkoulias and Antonio Huerta International Journal for Numerical Methods in Engineering 116(2) 91 (2018) https://doi.org/10.1002/nme.5916
Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes
Virtual Element approximations of the Vector Potential Formulation of Magnetostatic problems
Lourenço Beirão da Veiga, Franco Brezzi, L. Donatella Marini and Alessandro Russo The SMAI Journal of computational mathematics 4 399 (2018) https://doi.org/10.5802/smai-jcm.40
Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes
An hp-Hybrid High-Order Method for Variable Diffusion on General Meshes
Joubine Aghili, Daniele A. Di Pietro and Berardo Ruffini Computational Methods in Applied Mathematics 17(3) 359 (2017) https://doi.org/10.1515/cmam-2017-0009
Ws,p-approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a Hybrid High-Order discretisation of Leray–Lions problems
hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis and Paul Houston SpringerBriefs in Mathematics, hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes 1 (2017) https://doi.org/10.1007/978-3-319-67673-9_1
Virtual Element approximation of 2D magnetostatic problems
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A Hybrid High-Order Method for the Cahn--Hilliard problem in Mixed Form
Florent Chave, Daniele A. Di Pietro, Fabien Marche and Franck Pigeonneau SIAM Journal on Numerical Analysis 54(3) 1873 (2016) https://doi.org/10.1137/15M1041055