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Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods
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Virtual elements for sound propagation in complex poroelastic media
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Multiscale VEM for the Biot consolidation analysis of complex and highly heterogeneous domains
Abhilash Sreekumar, Savvas P. Triantafyllou, François-Xavier Bécot and Fabien Chevillotte Computer Methods in Applied Mechanics and Engineering 375 113543 (2021) https://doi.org/10.1016/j.cma.2020.113543
Explicit geometric construction of sparse inverse mass matrices for arbitrary tetrahedral grids
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Finite volume arbitrary Lagrangian-Eulerian schemes using dual meshes for ocean wave applications
Akash Anand, Jeffrey S. Ovall, Samuel E. Reynolds and Steffen Weißer SIAM Journal on Scientific Computing 42(2) A1289 (2020) https://doi.org/10.1137/19M1294046
Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions
A multiscale virtual element method for the analysis of heterogeneous media
Abhilash Sreekumar, Savvas P. Triantafyllou, François‐Xavier Bécot and Fabien Chevillotte International Journal for Numerical Methods in Engineering 121(8) 1791 (2020) https://doi.org/10.1002/nme.6287
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
Jérôme Bonelle, Alexandre Ern and Riccardo Milani Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 93 (2020) https://doi.org/10.1007/978-3-030-43651-3_6
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra
Daniele A. Di Pietro, Jérôme Droniou and Francesca Rapetti Mathematical Models and Methods in Applied Sciences 30(09) 1809 (2020) https://doi.org/10.1142/S0218202520500372
Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes
K. Olesen, B. Gervang, J. N. Reddy and M. Gerritsma International Journal for Numerical Methods in Engineering 114(12) 1262 (2018) https://doi.org/10.1002/nme.5785
A Nyström-based finite element method on polygonal elements
A stress/displacement Virtual Element method for plane elasticity problems
E. Artioli, S. de Miranda, C. Lovadina and L. Patruno Computer Methods in Applied Mechanics and Engineering 325 155 (2017) https://doi.org/10.1016/j.cma.2017.06.036
A numerical simulation model for multi-scale flow in tight oil reservoirs
Numerical Mathematics and Advanced Applications ENUMATH 2015
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$$H({\text {div}})$$ H ( div ) and $$H(\mathbf{curl})$$ H ( curl ) -conforming virtual element methods
Geometrically defined basis functions for polyhedral elements with applications to computational electromagnetics
Lorenzo Codecasa, Ruben Specogna and Francesco Trevisan ESAIM: Mathematical Modelling and Numerical Analysis 50(3) 677 (2016) https://doi.org/10.1051/m2an/2015077
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations
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A discontinuous skeletal method for the viscosity-dependent Stokes problem
Daniele A. Di Pietro, Alexandre Ern, Alexander Linke and Friedhelm Schieweck Computer Methods in Applied Mechanics and Engineering 306 175 (2016) https://doi.org/10.1016/j.cma.2016.03.033
A vertex-based scheme on polyhedral meshes for advection–reaction equations with sub-mesh stabilization
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Jérome Droniou, Robert Eymard and Raphaèle Herbin ESAIM: Mathematical Modelling and Numerical Analysis 50(3) 749 (2016) https://doi.org/10.1051/m2an/2015079
A vertex‐centered linearity‐preserving discretization of diffusion problems on polygonal meshes
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Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
Bernardo Cockburn, Daniele A. Di Pietro and Alexandre Ern ESAIM: Mathematical Modelling and Numerical Analysis 50(3) 635 (2016) https://doi.org/10.1051/m2an/2015051
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations
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Virtual element methods for parabolic problems on polygonal meshes
Giuseppe Vacca and Lourenco Beirão da Veiga Numerical Methods for Partial Differential Equations 31(6) 2110 (2015) https://doi.org/10.1002/num.21982
Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes
A Review of Recent Advances in Discretization Methods,a PosterioriError Analysis, and Adaptive Algorithms for Numerical Modeling in Geosciences
Daniele A. Di Pietro and Martin Vohralík Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69(4) 701 (2014) https://doi.org/10.2516/ogst/2013158
Hybrid high-order methods for variable-diffusion problems on general meshes