Multigrid algorithms for $$\varvec{hp}$$ h p -version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
نویسندگان
چکیده
منابع مشابه
Multigrid algorithms for hp-version Interior Penalty Discontinuous Galerkin methods on polygonal and polyhedral meshes
In this paper we analyze the convergence properties of two-level and W-cycle multigrid solvers for the numerical solution of the linear system of equations arising from hp-version symmetric interior penalty discontinuous Galerkin discretizations of second-order elliptic partial differential equations on polygonal/polyhedral meshes. We prove that the two-level method converges uniformly with res...
متن کاملInterior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes
Abstract. This paper provides a theoretical foundation for interior penalty discontinuous Galerkin methods for second order elliptic equations on very general polygonal or polyhedral meshes. The mesh can be composed of any polygons or polyhedra which satisfies certain shape regularity conditions characterized in a recent paper by two of the authors in [18]. The usual H conforming finite element...
متن کاملMultigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes
We study a class of symmetric discontinuous Galerkin methods on graded meshes. Optimal order error estimates are derived in both the energy norm and the L2 norm, and we establish the uniform convergence of V -cycle, F -cycle and W -cycle multigrid algorithms for the resulting discrete problems. Numerical results that confirm the theoretical results are also presented.
متن کاملhp–VERSION INTERIOR PENALTY DISCONTINUOUS GALERKIN FINITE ELEMENT METHODS ON ANISOTROPIC MESHES
We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) for linear second-order elliptic reactiondiffusion-advection equations with mixed Dirichlet and Neumann boundary conditions. Our main concern is the extension of the error analysis of the hpDGFEM to the case when anisotropic (shape-irregular) elements and anisotropic polynomial degrees are used. ...
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 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: Calcolo
سال: 2017
ISSN: 0008-0624,1126-5434
DOI: 10.1007/s10092-017-0223-6