Interior Penalty Discontinuous Galerkin FEM for the $p(x)$-Laplacian
نویسندگان
چکیده
منابع مشابه
Preconditioning of symmetric interior penalty discontinuous Galerkin FEM for elliptic problems∗
This is a further development of [10] regarding multilevel preconditioning for symmetric interior penalty discontinuous Galerkin finite element approximations of second order elliptic problems. We assume that the mesh on the finest level is a results of a geometrically refined fixed coarse mesh. The preconditioner is a multilevel method that uses a sequence of finite element spaces of either co...
متن کاملA Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method
In this article we present a multilevel preconditioner for interior penalty discontinuous Galerkin discretizations of second order elliptic boundary value problems that gives rise to uniformly bounded condition numbers without any additional regularity assumptions on the solution. The underlying triangulations are only assumed to be shape regular but may have hanging nodes subject to certain mi...
متن کاملOn Interior Penalty And Mixed Discontinuous Galerkin Methods For Elasticity
In this paper, we review existing discontinuous Galerkin (DG) methods for elasticity and introduce a new formulation based on mixed finite elements. We highlight the subtle and important differences between Interior Penalty (IP) and mixed FEM based methods. In the mixed method for elasticity, choices of function spaces for approximating primal and dual variable is non-trivial for two main reaso...
متن کاملConvergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method
We study the convergence of an adaptive Interior Penalty Discontinuous Galerkin (IPDG) method for a 2D model second order elliptic boundary value problem. Based on a residualtype a posteriori error estimator, we prove that after each refinement step of the adaptive scheme we achieve a guaranteed reduction of the global discretization error in the mesh dependent energy norm associated with the I...
متن کاملOn Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods
We prove in an abstract setting that standard (continuous) Galerkin finite element approximations are the limit of interior penalty discontinuous Galerkin approximations as the penalty parameter tends to infinity. We apply this result to equations of non-negative characteristic form and the non-linear, time dependent system of incompressible miscible displacement. Moreover, we investigate varyi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2012
ISSN: 0036-1429,1095-7170
DOI: 10.1137/110820324