Fourier two-level analysis for discontinuous Galerkin discretization with linear elements
نویسندگان
چکیده
منابع مشابه
Modelling, Analysis and Simulation Fourier two-level analysis for discontinuous Galerkin discretization with linear elements
In this paper we study the convergence of a multigrid method for the solution of a linear second order elliptic equation, discretized by discontinuous Galerkin (DG) methods, and we give a detailed analysis of the convergence for different block-relaxation strategies. In addition to an earlier paper where higher-order methods were studied, here we restrict ourselves to methods using piecewise li...
متن کاملFourier two-level analysis for discontinuous Galerkin discretization with linear elements
In this paper we study the convergence of a multigrid method for the solution of a linear secondorder elliptic equation, discretized by discontinuous Galerkin (DG) methods, and we give a detailed analysis of the convergence for di erent block-relaxation strategies. To complement an earlier paper where higher-order methods were studied, here we restrict ourselves to methods using piecewise linea...
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In this paper we study a multigrid (MG) method for the solution of a linear second order elliptic equation, discretized by discontinuous Galerkin (DG) methods, and we give a detailed analysis of the convergence for different block-relaxation strategies. We find that pointwise block-partitioning gives much better results than the classical cellwise partitioning. Both for the Baumann–Oden method ...
متن کاملModelling, Analysis and Simulation Two-level Fourier analysis of a multigrid approach for discontinuous Galerkin discretisation
In this paper we study a multigrid method for the solution of a linear second order elliptic equation, discretized by discontinuous Galerkin (DG) methods, and we give a detailed analysis of the convergence for different block-relaxation strategies. We find that point-wise block-partitioning gives much better results than the classical cell-wise partitioning. Both for the Baumann-Oden and for th...
متن کاملTwo-Level Fourier Analysis of a Multigrid Approach for Discontinuous Galerkin Discretisation
In this paper we study a multigrid method for the solution of a linear second order elliptic equation, discretized by discontinuous Galerkin (DG) methods, and we give a detailed analysis of the convergence for different block-relaxation strategies. We find that point-wise block-partitioning gives much better results than the classical cell-wise partitioning. Both for the Baumann-Oden and for th...
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ژورنال
عنوان ژورنال: Numerical Linear Algebra with Applications
سال: 2004
ISSN: 1070-5325,1099-1506
DOI: 10.1002/nla.356