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203
Multigrid for the mortar finite element method
 SIAM J. Numer. Anal
, 1998
"... Abstract. A multigrid technique for uniformly preconditioning linear systems arising from a mortar finite element discretization of second order elliptic boundary value problems is described and analyzed. These problems are posed on domains partitioned into subdomains, each of which is independently ..."
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Cited by 22 (2 self)
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Abstract. A multigrid technique for uniformly preconditioning linear systems arising from a mortar finite element discretization of second order elliptic boundary value problems is described and analyzed. These problems are posed on domains partitioned into subdomains, each of which
An Agglomeration Multigrid Method For Unstructured Grids
 in Tenth international conference on Domain Decomposition
"... . A new agglomeration multigrid method is proposed in this paper for general unstructured grids. By a proper local agglomeration of finite elements, a nested sequence of finite dimensional subspaces are obtained by taking appropriate linear combinations of the basis functions from previous level of ..."
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Cited by 17 (4 self)
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an approach for designing a multilevel method for the solution of large systems of linear algebraic equations, arising from finite element discretizations on unstructured grids. Our interest will be focused on the performance of an agglomeration multigrid method for unstructured grids. One approach
Algebraic Multigrid Based On Element Interpolation (AMGe)
, 1998
"... We introduce AMGe, an algebraic multigrid method for solving the discrete equations that arise in Ritztype finite element methods for partial differential equations. Assuming access to the element stiffness matrices, AMGe is based on the use of two local measures, which are derived from global meas ..."
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Cited by 104 (16 self)
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We introduce AMGe, an algebraic multigrid method for solving the discrete equations that arise in Ritztype finite element methods for partial differential equations. Assuming access to the element stiffness matrices, AMGe is based on the use of two local measures, which are derived from global
Algebraic multigrid for edge elements
 Johannes Kepler University Linz
"... This paper presents an algebraic multigrid method for the ecient solution of the linear system arising from a nite element discretization of variational problems inH 0 (rot;). The nite element spaces are generated by Nedelecelements (Whitney1forms or further referenced to as edge elements). A c ..."
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Cited by 6 (3 self)
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This paper presents an algebraic multigrid method for the ecient solution of the linear system arising from a nite element discretization of variational problems inH 0 (rot;). The nite element spaces are generated by Nedelecelements (Whitney1forms or further referenced to as edge elements). A
Convergence of Algebraic Multigrid Based on Smoothed Aggregation
 COMPUTING
, 1998
"... We prove a convergence estimate for the Algebraic Multigrid Method with prolongations defined by aggregation using zero energy modes, followed by a smoothing. The method input is the problem matrix and a matrix of the zero energy modes. The estimate depends only polylogarithmically on the mesh size, ..."
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Cited by 125 (14 self)
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We prove a convergence estimate for the Algebraic Multigrid Method with prolongations defined by aggregation using zero energy modes, followed by a smoothing. The method input is the problem matrix and a matrix of the zero energy modes. The estimate depends only polylogarithmically on the mesh size
Algebraic Multigrid for Discrete Elliptic SecondOrder Problems
 Proc. of the 5th Europ. Multigrid conf
, 1997
"... . This paper is devoted to the construction of Algebraic MultiGrid (AMG) methods, which are especially suited for the solution of large sparse systems of algebraic equations arising from the finite element discretization of secondorder elliptic boundary value problems on unstructured, fine meshes ..."
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Cited by 25 (2 self)
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. This paper is devoted to the construction of Algebraic MultiGrid (AMG) methods, which are especially suited for the solution of large sparse systems of algebraic equations arising from the finite element discretization of secondorder elliptic boundary value problems on unstructured, fine meshes
Algebraic multigrid for moderate order finite elements
, 2013
"... The paper discusses algebraic multigrid (AMG) methods for the solution of large sparse linear systems arising from the discretization of scalar elliptic partial differential equations with Lagrangian finite elements of order at most 4. The resulting system matrices do not have the Mmatrix property ..."
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Cited by 2 (1 self)
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The paper discusses algebraic multigrid (AMG) methods for the solution of large sparse linear systems arising from the discretization of scalar elliptic partial differential equations with Lagrangian finite elements of order at most 4. The resulting system matrices do not have the Mmatrix property
Distributed Algebraic Multigrid for Finite Element Computations
"... The Finite Element Method has been successfully applied to a variety of problems in engineering, medicine, biology, and physics. However, this method can be computationally intensive, particularly for problems in which an unstructured mesh of elements is generated. In such situations, the Algebraic ..."
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The Finite Element Method has been successfully applied to a variety of problems in engineering, medicine, biology, and physics. However, this method can be computationally intensive, particularly for problems in which an unstructured mesh of elements is generated. In such situations, the Algebraic
Parallel Linear Algebra and the Application to Multigrid Methods
, 1999
"... We explain a general model for a parallel linear algebra. All algebraic operations and parallel extensions are defined formally, and it is shown that in this model multigrid methods on a distributed set of indices can be realized. This abstract formalization leads to an automatic realization of para ..."
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Cited by 3 (2 self)
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demonstrating the efficiency and the flexibility of the model, including algebraic multigrid methods and multigrid methods for nonconforming discretizations such as Morley elements and Mortar finite elements. 1.
Multigrid On The Interface For Mortar Mixed Finite Element Methods For Elliptic Problems
 Comput. Methods Appl. Mech. Engrg
, 2000
"... this paper is to discuss the extension of the above domain decomposition and multigrid algorithms to the case of nonmatching multiblock grids and present theoretical and numerical results for their convergence. Techniques have been developed to approximate elliptic problems on nonmatching multibloc ..."
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Cited by 9 (5 self)
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multiblock grids using Galerkin and spectral approximations in the blocks and tying these together through an approximation of the flux on \Gamma in a special finite element space called a mortar space [7,6]. In the case of mixed methods, mortar spaces are introduced for the interface pressure and used
Results 1  10
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203