Volume 4, Issue 2 | Communications on Applied Mathematics and Computation

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Volume 4, Issue 2

June 2022

Focused Issue on Discontinuous Galerkin Methods, Part 2

12 articles in this issue

Local Discontinuous Galerkin Methods for the abcd Nonlinear Boussinesq System
Jiawei Sun
Shusen Xie
Yulong Xing
Original Paper 04 August 2021 Pages: 381 - 416
Capitalizing on Superconvergence for More Accurate Multi-Resolution Discontinuous Galerkin Methods
Jennifer K. Ryan
Original Paper Open access 09 July 2021 Pages: 417 - 436
Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids
Mahboub Baccouch
Original Paper 23 June 2021 Pages: 437 - 476
Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations II: HHO-Inspired Methods
Gang Chen
Bernardo Cockburn
Yangwen Zhang
Original Paper 06 July 2021 Pages: 477 - 499
A Discontinuous Galerkin Method for Blood Flow and Solute Transport in One-Dimensional Vessel Networks
Rami Masri
Charles Puelz
Beatrice Riviere
Original Paper 28 July 2021 Pages: 500 - 529
Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for KdV Type Equations
Xue Hong
Yinhua Xia
Original Paper 07 July 2021 Pages: 530 - 562
Dual-Wind Discontinuous Galerkin Methods for Stationary Hamilton-Jacobi Equations and Regularized Hamilton-Jacobi Equations
Xiaobing Feng
Thomas Lewis
Aaron Rapp
Original Paper 19 June 2021 Pages: 563 - 596
Hybrid High-Order Methods for the Acoustic Wave Equation in the Time Domain
Erik Burman
Omar Duran
Alexandre Ern
Original Paper 20 August 2021 Pages: 597 - 633
Discontinuous Galerkin Methods for a Class of Nonvariational Problems
Andreas Dedner
Tristan Pryer
Original Paper Open access 13 September 2021 Pages: 634 - 656
Extendible and Efficient Python Framework for Solving Evolution Equations with Stabilized Discontinuous Galerkin Methods
Andreas Dedner
Robert Klöfkorn
Original Paper Open access 07 September 2021 Pages: 657 - 696
Uniform Subspace Correction Preconditioners for Discontinuous Galerkin Methods with hp-Refinement
Will Pazner
Tzanio Kolev
Original Paper 09 July 2021 Pages: 697 - 727
Development of a Balanced Adaptive Time-Stepping Strategy Based on an Implicit JFNK-DG Compressible Flow Solver
Yu Pan
Zhen-Guo Yan
Spencer J. Sherwin
Original Paper Open access 26 August 2021 Pages: 728 - 757