Volume 77, Issue 3

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December 2018

Special issue on discontinuous Galerkin and related methods, in honor of Professor Bernardo Cockburn on the occasion of his sixtieth birthday

Issue Editors:

Yanlai Chen,
Bo Dong,
Chi-Wang Shu

26 articles in this issue

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
Foreword 15 October 2018 Pages: 1303 - 1309
An Advection-Robust Hybrid High-Order Method for the Oseen Problem
Joubine Aghili
Daniele A. Di Pietro
OriginalPaper 07 March 2018 Pages: 1310 - 1338
Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods
Paola F. Antonietti
Paul Houston
Giorgio Pennesi
OriginalPaper Open access 29 August 2018 Pages: 1339 - 1370
Finite Element Methods for a System of Dispersive Equations
Jerry L. Bona
Hongqiu Chen
Michael M. Wise
OriginalPaper 04 July 2018 Pages: 1371 - 1401
Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations
Waixiang Cao
Zhimin Zhang
Review Paper 08 June 2018 Pages: 1402 - 1423
Hybrid Discretization Methods with Adaptive Yield Surface Detection for Bingham Pipe Flows
Karol L. Cascavita
Jérémy Bleyer
Alexandre Ern
OriginalPaper 01 June 2018 Pages: 1424 - 1443
On the Conservation of Fractional Nonlinear Schrödinger Equation’s Invariants by the Local Discontinuous Galerkin Method
P. Castillo
S. Gómez
OriginalPaper 17 April 2018 Pages: 1444 - 1467
Enriched Spectral Methods and Applications to Problems with Weakly Singular Solutions
Sheng Chen
Jie Shen
OriginalPaper 30 October 2018 Pages: 1468 - 1489
An Adaptive Staggered Discontinuous Galerkin Method for the Steady State Convection–Diffusion Equation
Jie Du
Eric Chung
OriginalPaper 15 March 2018 Pages: 1490 - 1518
Assimilation of Nearly Turbulent Rayleigh–Bénard Flow Through Vorticity or Local Circulation Measurements: A Computational Study
Aseel Farhat
Hans Johnston
Edriss S. Titi
OriginalPaper 03 March 2018 Pages: 1519 - 1533
Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions
Xiaobing Feng
Thomas Lewis
OriginalPaper 26 June 2018 Pages: 1534 - 1565
Hybridized Discontinuous Galerkin Methods for Wave Propagation
P. Fernandez
A. Christophe
J. Peraire
OriginalPaper 05 September 2018 Pages: 1566 - 1604
A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow
Guosheng Fu
Christoph Lehrenfeld
OriginalPaper 09 March 2018 Pages: 1605 - 1620
Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations
Pei Fu
Fengyan Li
Yan Xu
OriginalPaper 08 June 2018 Pages: 1621 - 1659
Error Analysis of Mixed Finite Element Methods for Nonlinear Parabolic Equations
Huadong Gao
Weifeng Qiu
OriginalPaper 23 January 2018 Pages: 1660 - 1678
A Superconvergent HDG Method for Stokes Flow with Strongly Enforced Symmetry of the Stress Tensor
Matteo Giacomini
Alexandros Karkoulias
Antonio Huerta
OriginalPaper 17 October 2018 Pages: 1679 - 1702
Dispersion Analysis of HDG Methods
Jay Gopalakrishnan
Manuel Solano
Felipe Vargas
OriginalPaper 13 July 2018 Pages: 1703 - 1735
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
Shawn Walker
OriginalPaper 25 October 2017 Pages: 1736 - 1761
A Finite Element Method with Strong Mass Conservation for Biot’s Linear Consolidation Model
Guido Kanschat
Beatrice Riviere
OriginalPaper 05 October 2018 Pages: 1762 - 1779
Upscaled HDG Methods for Brinkman Equations with High-Contrast Heterogeneous Coefficient
Guanglian Li
Ke Shi
OriginalPaper 16 May 2018 Pages: 1780 - 1800
Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations
Dan Ling
Juan Cheng
Chi-Wang Shu
OriginalPaper 12 April 2018 Pages: 1801 - 1831
Solving 2D Linear Isotropic Elastodynamics by Means of Scalar Potentials: A New Challenge for Finite Elements
Jorge Albella Martínez
Sébastien Imperiale
Jerónimo Rodríguez
OriginalPaper 16 July 2018 Pages: 1832 - 1873
Non-conforming Harmonic Virtual Element Method: \(h\)- and \(p\)-Versions
Lorenzo Mascotto
Ilaria Perugia
Alexander Pichler
OriginalPaper 22 August 2018 Pages: 1874 - 1908
Discontinuous Galerkin Methods for Acoustic Wave Propagation in Polygons
Fabian Müller
Dominik Schötzau
Christoph Schwab
OriginalPaper 06 April 2018 Pages: 1909 - 1935
Preconditioning of a Hybridized Discontinuous Galerkin Finite Element Method for the Stokes Equations
Sander Rhebergen
Garth N. Wells
OriginalPaper 14 June 2018 Pages: 1936 - 1952
HDG-NEFEM with Degree Adaptivity for Stokes Flows
Ruben Sevilla
Antonio Huerta
OriginalPaper Open access 07 February 2018 Pages: 1953 - 1980

Volume 77, Issue 3

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