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Showing 1 to 20 of 263 for “"a posteriori"”.
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A posteriori analysis of operator decomposition on interface problems
This thesis is devoted to the a posteriori analysis of the effects of operator decomposition on interface problems. Operator decomposition offers an attractive solution strategy for multi-physics and multi-scale problems. This technique allows previously defined component codes optimized for single …
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Seeing Right from Wrong: A Defense of A Posteriori Ethical Intuitionism
… to</p> <p>moral properties is grounded in a posteriori perceptual experiences. It is divided into</p> <p>two parts. In part I, I present the epistemic access problem for realist moral</p> <p>epistemology, and then argue against several a priori attempts to resolve the problem. I</p> <p>begin …
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On a posteriori finite element bound procedures for nonsymmetric Eigenvalue problems
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1999.
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A posteriori error estimates and adaptive methods for convection dominated transport processes
In this thesis we derive robust a posteriori error estimates <br>for finite volume approximations of convection dominated nonlinear <br>transport problems. <br>Robustness means that the error estimates are uniform with respect to <br>vanishing diffusion coefficients. <br>The a posteriori error …
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A variational multiscale a-posteriori error estimation method for nearly incompressible elasticity
This work presents an error estimation framework for a mixed displacement-pressure finite element method for nearly incompressible elasticity that is based on variational multiscale concepts. The displacement field is decomposed into coarse scales captured by the finite element mesh and fine scales …
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Nonconforming discretizations and a posteriori error estimators for adaptive spectral element techniques
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1989.
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A posteriori bounds for linear functional outputs of hyperbolic partial differential equations
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1997.
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Reduced-basis approximation a posteriori error estimation for parabolic partial differential equations
… selected points in parameter-time space; (ii) a posteriori error estimation - relaxations of the error-residual equation that provide rigorous and sharp bounds for the error in specific outputs of interest: the error estimates serve a priori to construct our samples and a posteriori to confirm …
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A posteriori error estimates for the Poisson problem on closed, two-dimensional surfaces
… it. We then construct an adjoint-based a posteriori error estimate for the problem, discuss some computational issues that arise in solving the problem and show some numerical examples. The major sources of numerical error when solving the Poisson problem are geometric error, …
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A Gibbs sampling approach to maximum a posteriori time delay and amplitude estimations
Research concerned with underwater propagation in a shallow ocean environment is a growing area of study. In particular, the development of fast and accurate computational methods to estimate environmental parameters and source location is desired. In this work, only select features of the acoustic …
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A posteriori Error Estimators based on Duality Techniques from the Calculus of Variations
… within which we can systematically develop a posteriori error estimators for a quite general class of variational statements, involving a linear operator and two convex functionals. We merely require, that the linear operator be coercive and the corresponding functional be uniformly convex. As …
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A-Posteriori bounds on linear functionals of coercive 2nd order PDEs using discontinuous Galerkin methods
… procedure that is often necessary in implicit a-posteriori algorithms, unnecessary.
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Reduced basis approximation and a posteriori error estimation for non-coercive elliptic problems : applications to acoustics
… selected points in parameter-time space; (ii) a posteriori error estimation - relaxations of the error-residual equation that provide rigorous and sharp bounds for the error in specific outputs of interest; and (iii) offline-online computational procedures - in the offline stage the reduced basis …
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An a posteriori error control framework for adaptive precision optimization using discontinuous Galerkin finite element method
Introduction: Aerodynamic design optimization has seen significant development over the past decade. Adjoint-based shape design for elliptic systems was first proposed by Pironneau and applied to transonic flow by Jameson . A review of the aerodynamic shape optimization literature and a large list …
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A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes
… we present a simple and efficient \emph{a posteriori} error estimation procedure for a discontinuous finite element method applied to scalar first-order hyperbolic problems on structured and unstructured tetrahedral meshes. We present a local error analysis to derive a discontinuous …
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A Posteriori Error Analysis of the Discontinuous Galerkin Method for Linear Hyperbolic Systems of Conservation Laws
… develop an efficient implicit residual-based a posteriori error estimation scheme by solving local finite element problems to compute estimates of the leading term of the discretization error. For smooth solutions we obtain error estimates that converge to the true error under mesh refinement. …
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Operator-adapted finite element wavelets : theory and applications to a posteriori error estimation and adaptive computational modeling
We propose a simple and unified approach for a posteriori error estimation and adaptive mesh refinement in finite element analysis using multiresolution signal processing principles. Given a sequence of nested discretizations of a domain we begin by constructing approximation spaces at each level …
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Superconvergence and A posteriori Error Estimation for the Discontinuous Galerkin Method Applied to Hyperbolic Problems on Triangular Meshes
… simple, efficient and asymptotically correct a posteriori error estimates for discontinuous finite element solutions of hyperbolic problems on triangular meshes. A posteriori error estimates are needed to guide adaptive enrichment and to provide a measure of solution accuracy for any numerical …
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