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Estimator competition for Poisson problems
 J. Comput. Math
"... Abstract. We compare 13 different a posteriori error estimators for the Poisson problem with lowestorder finite element discretization. Residualbased error estimators compete with a wide range of averaging estimators and estimators based on local problems. Among our five benchmark problems we als ..."
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Cited by 6 (3 self)
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Abstract. We compare 13 different a posteriori error estimators for the Poisson problem with lowestorder finite element discretization. Residualbased error estimators compete with a wide range of averaging estimators and estimators based on local problems. Among our five benchmark problems we
The 2D Poisson Problem
"... y j ) \Gamma 2u(x i ; y j ) + u(x i\Gamma1 ; y j ) h 2 + u(x i ; y j+1 ) \Gamma 2u(x i ; y j ) + u(x i ; y j \Gamma1 ) h 2 = f(x i ; y j ) (3) at each point (x i ; y j ) of the mesh. To simplify rest of the discussion, we will replace u(x i ; y j ) by u i;j . Mathematics and Computer Scienc ..."
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y j ) \Gamma 2u(x i ; y j ) + u(x i\Gamma1 ; y j ) h 2 + u(x i ; y j+1 ) \Gamma 2u(x i ; y j ) + u(x i ; y j \Gamma1 ) h 2 = f(x i ; y j ) (3) at each point (x i ; y j ) of the mesh. To simplify rest of the discussion, we will replace u(x i ; y j ) by u i;j . Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439 1
Solving the Poisson Problem in Parallel with S.O.R.
"... The Poisson Problem, ∇ · ∇x = b, is a sparse linear system of equations that arises, for example, in scientific computing. For this project, I describe a parallel Successive OverRelaxation (SOR) algorithm for solving the Poisson problem and implement it in a C library using Message Passing Interf ..."
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The Poisson Problem, ∇ · ∇x = b, is a sparse linear system of equations that arises, for example, in scientific computing. For this project, I describe a parallel Successive OverRelaxation (SOR) algorithm for solving the Poisson problem and implement it in a C library using Message Passing
Poisson Surface Reconstruction
, 2006
"... We show that surface reconstruction from oriented points can be cast as a spatial Poisson problem. This Poisson formulation considers all the points at once, without resorting to heuristic spatial partitioning or blending, and is therefore highly resilient to data noise. Unlike radial basis function ..."
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Cited by 362 (5 self)
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We show that surface reconstruction from oriented points can be cast as a spatial Poisson problem. This Poisson formulation considers all the points at once, without resorting to heuristic spatial partitioning or blending, and is therefore highly resilient to data noise. Unlike radial basis
Unified analysis of discontinuous Galerkin methods for elliptic problems
 SIAM J. Numer. Anal
, 2001
"... Abstract. We provide a framework for the analysis of a large class of discontinuous methods for secondorder elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment ..."
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Cited by 519 (31 self)
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Abstract. We provide a framework for the analysis of a large class of discontinuous methods for secondorder elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical
The Complexity of the Poisson Problem for Spaces of Bounded Mixed Derivatives
, 1995
"... . We are interested in the complexity of the Poisson problem with homogeneous Dirichlet boundary conditions on the ddimensional unit cube \Omega\Gamma Error is measured in the energy norm, and only standard information (consisting of function evaluations) is available. In previous work on this prob ..."
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Cited by 5 (0 self)
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. We are interested in the complexity of the Poisson problem with homogeneous Dirichlet boundary conditions on the ddimensional unit cube \Omega\Gamma Error is measured in the energy norm, and only standard information (consisting of function evaluations) is available. In previous work
Uncoupled variational formulation of a vector Poisson problem
"... This Note provides a rigorous analysis for the vector Poisson problem with the tangential component(s) of the unknown prescribed on the boundary together with the divergence of the unknown specified on it. This kind of boundary conditions implies a coupling between the Cartesian components of the un ..."
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Cited by 1 (1 self)
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This Note provides a rigorous analysis for the vector Poisson problem with the tangential component(s) of the unknown prescribed on the boundary together with the divergence of the unknown specified on it. This kind of boundary conditions implies a coupling between the Cartesian components
Multiple bound states for the SchrödingerPoisson problem
 Comm. Contemp. Math
, 2008
"... Abstract. In this paper we study the problem −∆u+ u+ V (x)u = up −∆V = u2, limx→+ ∞ φ(x) = 0, where u, V: R3 → R are radial functions, λ> 0 and 1 < p < 5. We give multiplicity results, depending on p and on the parameter λ. ..."
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Cited by 34 (3 self)
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Abstract. In this paper we study the problem −∆u+ u+ V (x)u = up −∆V = u2, limx→+ ∞ φ(x) = 0, where u, V: R3 → R are radial functions, λ> 0 and 1 < p < 5. We give multiplicity results, depending on p and on the parameter λ.
Results 1  10
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226,519