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Titlebook: Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014; Petr Knobloch Conference proceedings 2015 Springer Interna

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楼主: Jaundice
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Armando Malheiro da Silva,Fernanda Ribeiroomposed of a classical finite difference scheme applied on a piecewise uniform Shishkin mesh is suggested to solve the problem. The method is proved to be first order convergent in the maximum norm uniformly in the perturbation parameters. Numerical illustration provided support the theory.
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Levels of Abstraction and Moralityerator and a piecewise-uniform Shishkin mesh is constructed in this transformed domain. Numerical results are presented which indicate that the numerical approximations converge at a rate of first order (up to logarithmic factors) uniformly in the pointwise maximum norm.
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Content Net Neutrality – A Critiquee assumed to be distinct in magnitude. Overlapping boundary and interior layers can appear in the solution. A numerical method is constructed that involve an appropriate piecewise-uniform Shishkin mesh, which is fitted to both the boundary and interior layers. The parameter-uniform convergence of the numerical approximations is examined.
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A Posteriori Error Estimation of a Stabilized Mixed Finite Element Method for Darcy Flow, error indicator that consists of two residual terms on interior elements and an additional term that accounts for the error in the boundary condition on boundary elements. We prove that the error indicator is reliable and locally efficient on interior elements. Numerical experiments illustrate the good performance of the adaptive algorithm.
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A Posteriori Optimization of Parameters in the SUPG Method for Higher Degree FE Spaces,ed error indicator. Particularly, we present results for conforming finite element spaces up to the order 5 with the parameter . from the piecewise discontinuous finite element spaces, also up to the order 5.
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A Parameter-Uniform First Order Convergent Numerical Method for a System of Singularly Perturbed Seomposed of a classical finite difference scheme applied on a piecewise uniform Shishkin mesh is suggested to solve the problem. The method is proved to be first order convergent in the maximum norm uniformly in the perturbation parameters. Numerical illustration provided support the theory.
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