Superconvergent DPG Methods for Second-Order Elliptic Problems

High-order polygonal discontinuous Petrov–Galerkin (PolyDPG) methods using ultraweak formulations

(2018) Ali Vaziri Astaneh et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Superconvergence in a DPG method for an ultra-weak formulation

(2018) Thomas Führer   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Breaking spaces and forms for the DPG method and applications including Maxwell equations

(2016) C. Carstensen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A discontinuous Petrov–Galerkin methodology for adaptive solutions to the incompressible Navier–Stokes equations

(2015) Nathan V. Roberts et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Convergence rates of the DPG method with reduced test space degree

(2014) Timaeus Bouma et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The DPG method for the Stokes problem

(2014) Nathan V. Roberts et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A Posteriori Error Control for DPG Methods

(2014) Carsten Carstensen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A class of discontinuous Petrov–Galerkin methods. Part III: Adaptivity

(2011) Leszek Demkowicz et al.   APPLIED NUMERICAL MATHEMATICS

Analysis of the DPG Method for the Poisson Equation

(2011) L. Demkowicz et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A class of discontinuous Petrov–Galerkin methods. Part I: The transport equation

(2010) L. Demkowicz et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A class of discontinuous Petrov–Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D

(2010) J. Zitelli et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions

(2010) L. Demkowicz et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems

(2008) Bernardo Cockburn et al.   MATHEMATICS OF COMPUTATION