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A nonconforming Trefftz virtual element method for the Helmholtz problem
Lorenzo Mascotto, Ilaria Perugia and Alexander Pichler Mathematical Models and Methods in Applied Sciences 29(09) 1619 (2019) https://doi.org/10.1142/S0218202519500301
Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes
Dibyendu Adak, E. Natarajan and Sarvesh Kumar Numerical Methods for Partial Differential Equations 35(1) 222 (2019) https://doi.org/10.1002/num.22298
Poly-Spline Finite-Element Method
Teseo Schneider, Jérémie Dumas, Xifeng Gao, et al. ACM Transactions on Graphics 38(3) 1 (2019) https://doi.org/10.1145/3313797
A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes
A Hybrid High‐Order method for finite elastoplastic deformations within a logarithmic strain framework
Mickaël Abbas, Alexandre Ern and Nicolas Pignet International Journal for Numerical Methods in Engineering 120(3) 303 (2019) https://doi.org/10.1002/nme.6137
Virtual element method for semilinear hyperbolic problems on polygonal 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
An Advection-Robust Hybrid High-Order Method for the Oseen Problem
Serendipity Virtual Elements for General Elliptic Equations in Three Dimensions
Lourenço Beirão Da Veiga, Franco Brezzi, Franco Dassi, Luisa Donatelia Marini and Alessandro Russo Chinese Annals of Mathematics, Series B 39(2) 315 (2018) https://doi.org/10.1007/s11401-018-1066-4
Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes
A multigrid algorithm for the p-version of the virtual element method
Paola F. Antonietti, Lorenzo Mascotto and Marco Verani ESAIM: Mathematical Modelling and Numerical Analysis 52(1) 337 (2018) https://doi.org/10.1051/m2an/2018007
A nonconforming virtual element method for the Stokes problem on general 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
High-order Virtual Element Method on polyhedral meshes
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