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Showing 1 to 5 of 5 for “"Poisson Problem"”.
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Preconditioners constructed from the interpolative decomposition for the variable coefficient Poisson problem
When trying to solve elliptical problems such as the Poisson problem on complicated domains, one procedure is to split the domain into a union of simpler subdomains. When solving these problems iteratively, it becomes important to be able to precondition the coupling between the subdomains. Using …
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A posteriori error estimates for the Poisson problem on closed, two-dimensional surfaces
… is an area of much research in recent years. The Poisson Problem is a partial differential equation that is useful on curved surfaces. On a curved surface, the Poisson Problem features the Laplace-Beltrami Operator, which is a generalization of the Laplacian and specific to the surface where the …
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Hodge Laplacians on simplicial meshes and graphs
… in the discretizations of exterior calculus for problems posed on simplicial discretization (meshes) of geometric manifolds and analogous problems on abstract simplicial complexes. We are primarily interested in discretizations of elliptic type partial differential equations, and our model …
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Attitude Dynamics of Debris Resulting From Upper Stage Fragmentation in Low Earth Orbit
… and the generalized Ohm's law is set up a Poisson problem with Neumann boundary conditions. The electrical potential, solution of Poisson problem and calculated by a finite element solver, defines the density current in the body and thus determines the torque applied on the debris.</p> …
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A priori analysis of global and local output error estimates for CG, DG and HDG finite element discretizations
… Hybridized DG (HDG) methods are analyzed for the Poisson problem. A mixed formulation for DG output error estimation is proposed with improved convergence rates relative to the common approach utilizing statically condensed, p-dependent lifting operators. The HDG output error estimates are new and …