hp-version discontinuous Galerkin methods on polygonal and polyhedral meshes
A Cangiani, EH Georgoulis… - Mathematical Models and …, 2014 - World Scientific
An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical
solution of second-order elliptic partial differential equations on general computational …
solution of second-order elliptic partial differential equations on general computational …
[图书][B] Scientific Computation
P Joly, A Quarteroni, J Rappaz - 2005 - Springer
Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …
was still fairly novel. Motivated by the many favorable comments we have received and the …
ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
In this paper, we develop the a posteriori error estimation of hp-version interior penalty
discontinuous Galerkin discretizations of elliptic boundary-value problems. Computable …
discontinuous Galerkin discretizations of elliptic boundary-value problems. Computable …
Discontinuous Galerkin finite element approximation of Hamilton--Jacobi--Bellman equations with Cordes coefficients
We propose an hp-version discontinuous Galerkin finite element method for fully nonlinear
second-order elliptic Hamilton--Jacobi--Bellman equations with Cordes coefficients. The …
second-order elliptic Hamilton--Jacobi--Bellman equations with Cordes coefficients. The …
Discontinuous Galerkin finite element approximation of nondivergence form elliptic equations with Cordes coefficients
Nondivergence form elliptic equations with discontinuous coefficients do not generally
possess a weak formulation, thus presenting an obstacle to their numerical solution by …
possess a weak formulation, thus presenting an obstacle to their numerical solution by …
Energy Norm shape A Posteriori Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem
In this paper, we develop the a posteriori error estimation of mixed discontinuous Galerkin
finite element approximations of the Stokes problem. In particular, we derive computable …
finite element approximations of the Stokes problem. In particular, we derive computable …
Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the -Version
We consider the two-dimensional Helmholtz equation with constant coefficients on a domain
with piecewise analytic boundary, modelling the scattering of acoustic waves at a sound-soft …
with piecewise analytic boundary, modelling the scattering of acoustic waves at a sound-soft …
Anisotropic hp-adaptive method based on interpolation error estimates in the Lq-norm
V Dolejší - Applied Numerical Mathematics, 2014 - Elsevier
We present a new anisotropic hp-adaptive technique, which can be employed for the
numerical solution of various scientific and engineering problems governed by partial …
numerical solution of various scientific and engineering problems governed by partial …
Uniform Subspace Correction Preconditioners for Discontinuous Galerkin Methods with hp-Refinement
In this paper, we develop subspace correction preconditioners for discontinuous Galerkin
(DG) discretizations of elliptic problems with hp-refinement. These preconditioners are …
(DG) discretizations of elliptic problems with hp-refinement. These preconditioners are …
A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs
We develop the a posteriori error analysis of hp-version interior-penalty discontinuous
Galerkin finite-element methods for a class of second-order quasi-linear elliptic partial …
Galerkin finite-element methods for a class of second-order quasi-linear elliptic partial …