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Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations
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An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency
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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
Finite volume arbitrary Lagrangian-Eulerian schemes using dual meshes for ocean wave applications
The role of the dual grid in low-order compatible numerical schemes on general meshes
Silvano Pitassi, Riccardo Ghiloni, Francesco Trevisan and Ruben Specogna Journal of Computational Physics 436 110285 (2021) https://doi.org/10.1016/j.jcp.2021.110285
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
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
Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions
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
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
Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes
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
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations
Konstantin Lipnikov and Gianmarco Manzini Lecture Notes in Computational Science and Engineering, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations 114 311 (2016) https://doi.org/10.1007/978-3-319-41640-3_10
Mixed virtual element methods for general second order elliptic problems on polygonal meshes
Lourenço Beirão da Veiga, Franco Brezzi, Luisa Donatella Marini and Alessandro Russo ESAIM: Mathematical Modelling and Numerical Analysis 50(3) 727 (2016) https://doi.org/10.1051/m2an/2015067
Numerical Mathematics and Advanced Applications ENUMATH 2015
Marc Gerritsma, Jeroen Kunnen and Boudewijn de Heij Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2015 112 635 (2016) https://doi.org/10.1007/978-3-319-39929-4_61
A vertex‐centered linearity‐preserving discretization of diffusion problems on polygonal meshes
Jiming Wu, Zhiming Gao and Zihuan Dai International Journal for Numerical Methods in Fluids 81(3) 131 (2016) https://doi.org/10.1002/fld.4178
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
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations
Daniele A. Di Pietro, Alexandre Ern and Simon Lemaire Lecture Notes in Computational Science and Engineering, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations 114 205 (2016) https://doi.org/10.1007/978-3-319-41640-3_7
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
Interpolation error estimates for harmonic coordinates on polytopes
Gradient schemes: Generic tools for the numerical analysis of diffusion equations
Jérome Droniou, Robert Eymard and Raphaèle Herbin ESAIM: Mathematical Modelling and Numerical Analysis 50(3) 749 (2016) https://doi.org/10.1051/m2an/2015079
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
Residuala posteriorierror estimation for the Virtual Element Method for elliptic problems
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