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Showing 1 to 7 of 7 for “"a posteriori error analysis"”.
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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
In this dissertation we present an analysis for the discontinuous Galerkin discretization error of multi-dimensional first-order linear symmetric and symmetrizable hyperbolic systems of conservation laws. We explicitly write the leading term of the local DG error, which is spanned by Legendre …
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Uma estratégia de refinamento auto-adaptativo versão h do método dos elementos finitos aplicada a problemas bi-dimensionais regidos pela equação de campo
… studied. The mesh refinement strategy and the a-posteriori error analysis are also discussed. The Galerkin formulation for FEM is utilized and the resulting system of equations is solved by Preconditiohed Conjugate Gradients. Several problems are analysed and results compared with the available …
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Formulação hierárquica do Método dos Elementos Finitos: refinamento auto-adaptativo versão P aplicado a problemas de elasticidade
… scheme of the Finite Element Method for a-posteriori error analysis and automatic refinement, in the resolution of linear static elasticity problems. Utilizing the hierarchical formulation of the method, the selective polynomial refinement is performed by means of iterative procedures, …
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Error estimates for numerical approximations to scalar conservation laws
… this thesis we are concerned with a-priori and a-posteriori error estimates <br>for certain finite volume approximations of scalar hyperbolic conservation laws. <br>We introduce a new technique to prove a-priori error estimates which is based <br>on a duality argument and involves a consistency …
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Adjoint-based space-time adaptive solution algorithms for sensitivity analysis and inverse problems
… framework for fully discrete adjoint sensitivity analysis and inverse problem solutions, in the context of time dependent, adaptive mesh, and adaptive step models. The discrete framework addresses all the necessary ingredients of a state–of–the–art adaptive inverse solution algorithm: adaptive …
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Efficient Adaptive Algorithms for an Electromagnetic Coefficient Inverse Problem
… the reconstructed permittivity, by means of an a posteriori error estimate derived in detail in the fourth paper. The method is tested with success on simulated as well as laboratory measured data.