hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes

Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes–Darcy flows on polygonal and polyhedral grids

(2013) Konstantin Lipnikov et al.   NUMERISCHE MATHEMATIK

$hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains

(2013) Paola F. Antonietti et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

(2012) L. BEIRÃO DA VEIGA et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary

(2012) August Johansson et al.   NUMERISCHE MATHEMATIK

PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab

(2012) Cameron Talischi et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method

(2011) Erik Burman et al.   APPLIED NUMERICAL MATHEMATICS

Agglomeration based discontinuous Galerkin discretization of the Euler and Navier–Stokes equations

(2011) F. Bassi et al.   COMPUTERS & FLUIDS

On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations

(2011) F. Bassi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Optimal convergence estimates for the trace of the polynomial $L^{2}$-projection operator on a simplex

(2011) Alexey Chernov   MATHEMATICS OF COMPUTATION

Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes

(2011) L. Beirão da Veiga et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method

(2010) Erik Burman et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems

(2010) L. B. da Veiga et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods

(2010) Paola F. Antonietti et al.   JOURNAL OF SCIENTIFIC COMPUTING

Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems

(2009) E. Burman et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping

(2009) Sundararajan Natarajan et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems

(2009) Andrea Cangiani et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations of Elliptic Problems

(2008) Paola F. Antonietti et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Mimetic finite differences for elliptic problems

(2008) Franco Brezzi et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Extended finite element method on polygonal and quadtree meshes

(2007) A. Tabarraei et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Inverse-type estimates on $hp$-finite element spaces and applications

(2007) Emmanuil H. Georgoulis   MATHEMATICS OF COMPUTATION