A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

Stabilization-free HHO a posteriori error control

(2023) Fleurianne Bertrand et al.   NUMERISCHE MATHEMATIK

Robust Interior Penalty Discontinuous Galerkin Methods

(2022) Zhaonan Dong et al.   JOURNAL OF SCIENTIFIC COMPUTING

A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems

(2022) Carsten Carstensen et al.   NUMERISCHE MATHEMATIK

Adaptive Non-Hierarchical Galerkin Methods for Parabolic Problems with Application to Moving Mesh and Virtual Element Methods

(2021) Andrea Cangiani et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

$hp$-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements

(2021) Andrea Cangiani et al.   MATHEMATICS OF COMPUTATION

Oscillation in a posteriori error estimation

(2021) Christian Kreuzer et al.   NUMERISCHE MATHEMATIK

Lower a posteriori error estimates on anisotropic meshes

(2020) Natalia Kopteva   NUMERISCHE MATHEMATIK

A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes

(2019) Hengguang Li   Communications in Computational Physics

A posteriori error estimate for discontinuous Galerkin finite element method on polytopal mesh

(2019) Jintao Cui et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Convergence of adaptive discontinuous Galerkin methods

(2018) Christian Kreuzer et al.   MATHEMATICS OF COMPUTATION

Nonoverlapping Domain Decomposition Preconditioners for Discontinuous Galerkin Approximations of Hamilton–Jacobi–Bellman Equations

(2017) Iain Smears   JOURNAL OF SCIENTIFIC COMPUTING

A posteriori error estimates for the virtual element method

(2017) Andrea Cangiani et al.   NUMERISCHE MATHEMATIK

$hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes

(2017) Andrea Cangiani et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics

(2016) Daniele A. Di Pietro et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations

(2015) Alexandre Ern et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes

(2014) Andrea Cangiani et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

hp-Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains

(2014) Stefano Giani et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems

(2012) Alan Demlow et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

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

Poincare constants for finite element stars

(2011) A. Veeser et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations

(2011) Zhiqiang Cai et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method

(2010) Andrea Bonito et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Fully Computable Error Bounds for Discontinuous Galerkin Finite Element Approximations on Meshes with an Arbitrary Number of Levels of Hanging Nodes

(2010) Mark Ainsworth et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A unifying theory of a posteriori error control for discontinuous Galerkin FEM

(2009) Carsten Carstensen et al.   NUMERISCHE MATHEMATIK

Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method

(2009) R. H. W. Hoppe et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

General-Dimensional Constrained Delaunay and Constrained Regular Triangulations, I: Combinatorial Properties

(2008) Jonathan Richard Shewchuk   DISCRETE & COMPUTATIONAL GEOMETRY

Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems

(2008) S.K. Tomar et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS