A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems
In this article, we derive an a posteriori error estimator for various discontinuous Galerkin
(DG) methods that are proposed in (Wang, Han and Cheng, SIAM J. Numer. Anal., 48: 708 …
(DG) methods that are proposed in (Wang, Han and Cheng, SIAM J. Numer. Anal., 48: 708 …
Two-grid discontinuous Galerkin method for quasi-linear elliptic problems
C Bi, V Ginting - Journal of Scientific Computing, 2011 - Springer
In this paper, we consider the symmetric interior penalty discontinuous Galerkin (SIPG)
method with piecewise polynomials of degree r≥ 1 for a class of quasi-linear elliptic …
method with piecewise polynomials of degree r≥ 1 for a class of quasi-linear elliptic …
Bilinear immersed finite elements for interface problems
X He - 2009 - vtechworks.lib.vt.edu
In this dissertation we discuss bilinear immersed finite elements (IFE) for solving interface
problems. The related research works can be categorized into three aspects:(1) the …
problems. The related research works can be categorized into three aspects:(1) the …
Discontinuous finite volume element discretization for coupled flow–transport problems arising in models of sedimentation
The sedimentation–consolidation and flow processes of a mixture of small particles
dispersed in a viscous fluid at low Reynolds numbers can be described by a nonlinear …
dispersed in a viscous fluid at low Reynolds numbers can be described by a nonlinear …
A posteriori error estimates of two-grid finite element methods for nonlinear elliptic problems
C Bi, C Wang, Y Lin - Journal of Scientific Computing, 2018 - Springer
In this article, we study the residual-based a posteriori error estimates of the two-grid finite
element methods for the second order nonlinear elliptic boundary value problems …
element methods for the second order nonlinear elliptic boundary value problems …
A remark on the a posteriori error analysis of discontinuous Galerkin methods for the obstacle problem
We revisit the a posteriori error analysis of discontinuous Galerkin methods for the obstacle
problem derived in [Math. Comput.(2013), DOI 10.1090/S0025-5718-2013-02728-7]. Under …
problem derived in [Math. Comput.(2013), DOI 10.1090/S0025-5718-2013-02728-7]. Under …
A type of multigrid method for semilinear elliptic problems based on symmetric interior penalty discontinuous Galerkin method
F Chen, M Cui, C Zhou - Numerical Methods for Partial …, 2024 - Wiley Online Library
This article introduces a new kind of multigrid approach for semilinear elliptic problems,
which is based on the symmetric interior penalty discontinuous Galerkin (SIPDG) method …
which is based on the symmetric interior penalty discontinuous Galerkin (SIPDG) method …
Analysis of the Staggered DG Method for the Quasi-Newtonian Stokes flows
J Liu, Y Liu, L Zhao - Journal of Scientific Computing, 2025 - Springer
This paper introduces and analyzes a staggered discontinuous Galerkin (DG) method for
quasi-Newtonian Stokes flow problems on polytopal meshes. The method introduces the …
quasi-Newtonian Stokes flow problems on polytopal meshes. The method introduces the …
A posteriori error estimates of discontinuous Galerkin method for nonmonotone quasi-linear elliptic problems
C Bi, V Ginting - Journal of Scientific Computing, 2013 - Springer
In this paper, we propose and study the residual-based a posteriori error estimates of h-
version of symmetric interior penalty discontinuous Galerkin method for solving a class of …
version of symmetric interior penalty discontinuous Galerkin method for solving a class of …
A Hybrid High-Order Method for a Class of Strongly Nonlinear Elliptic Boundary Value Problems
In this article, we design and analyze a hybrid high-order (HHO) finite element
approximation for a class of strongly nonlinear boundary value problems. We consider an …
approximation for a class of strongly nonlinear boundary value problems. We consider an …