A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings Yanlai Chen, Bo Dong & Chi-Wang Shu

An Advection-Robust Hybrid High-Order Method for the Oseen Problem 
Joubine Aghili & Daniele A. Di Pietro Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods  Paola F. Antonietti, Paul Houston & Giorgio Pennesi

Finite Element Methods for a System of Dispersive Equations Jerry L. Bona, Hongqiu Chen, Ohannes Karakashian & Michael M. Wise

Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations 
Waixiang Cao & Zhimin Zhang

Hybrid Discretization Methods with Adaptive Yield Surface Detection for Bingham Pipe Flows 
Karol L. Cascavita, Jérémy Bleyer, Xavier Chateau & Alexandre Ern

On the Conservation of Fractional Nonlinear Schrödinger Equation’s Invariants by 
the Local Discontinuous Galerkin Method 
P. Castillo & S. Gómez

Enriched Spectral Methods and Applications to Problems with Weakly Singular Solutions 
Sheng Chen & Jie Shen

An Adaptive Staggered Discontinuous Galerkin Method for the Steady State Convection–Diffusion Equation 
Jie Du & Eric Chung

Assimilation of Nearly Turbulent Rayleigh–Bénard Flow Through Vorticity or Local 
Circulation Measurements: A Computational Study 
Aseel Farhat, Hans Johnston, Michael Jolly & Edriss S. Titi

Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order 
Elliptic and Parabolic Equations in High Dimensions 
Xiaobing Feng & Thomas Lewis

Hybridized Discontinuous Galerkin Methods for Wave Propagation 
P. Fernandez, A. Christophe, S. Terrana, N. C. Nguyen & J. Peraire

A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow 
Guosheng Fu & Christoph Lehrenfeld

Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations 
Pei Fu, Fengyan Li & Yan Xu

Error Analysis of Mixed Finite Element Methods for Nonlinear Parabolic Equations 
Huadong Gao & Weifeng Qiu

A Superconvergent HDG Method for Stokes Flow with Strongly Enforced Symmetry of the Stress Tensor 
Matteo Giacomini, Alexandros Karkoulias, Ruben Sevilla & Antonio Huerta

Dispersion Analysis of HDG Methods 
Jay Gopalakrishnan, Manuel Solano & Felipe Vargas

Analysis of the Finite Element Method for the Laplace–Beltrami Equation on Surfaces with 
Regions of High Curvature Using Graded Meshes 
Johnny Guzman, Alexandre Madureira, Marcus Sarkis & Shawn Walker

A Finite Element Method with Strong Mass Conservation for Biot’s Linear Consolidation Model 
Guido Kanschat & Beatrice Riviere

Upscaled HDG Methods for Brinkman Equations with High-Contrast Heterogeneous Coefficient 
Guanglian Li & Ke Shi

Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear 
Hyperbolic and Radiative Transfer Equations 
Dan Ling, Juan Cheng & Chi-Wang Shu

Solving 2D Linear Isotropic Elastodynamics by Means of Scalar Potentials: A New Challenge for Finite Elements 
Jorge Albella Martínez, Sébastien Imperiale, Patrick Joly & Jerónimo Rodríguez

Non-conforming Harmonic Virtual Element Method: $$h$$ h - and $$p$$ p -Versions 
Lorenzo Mascotto, Ilaria Perugia & Alexander Pichler

Discontinuous Galerkin Methods for Acoustic Wave Propagation in Polygons 
Fabian Müller, Dominik Schötzau & Christoph Schwab

Preconditioning of a Hybridized Discontinuous Galerkin Finite Element Method for the Stokes Equations 
Sander Rhebergen & Garth N. Wells
           

HDG-NEFEM with Degree Adaptivity for Stokes Flows

Ruben Sevilla & Antonio Huerta

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