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Titlebook: Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012; Selected papers from Mejdi Azaïez,Henda El Fekih,Jan S.

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High Order Space-Time Discretization for Elastic Wave Propagation Problems,s do not need to be geometrically conforming; furthermore, different polynomial approximation degrees are allowed within each subdomain. The numerical results show that the proposed method is accurate, flexible and well suited for wave propagation analysis.
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A Fourth-Order Compact Finite Volume Scheme for the Convection-Diffusion Equation,oundary conditions some calculations with various conditions are performed. Furthermore, the grid dependance of solutions is studied. It is shown that the proposed approach constitutes an efficient high-order solution method for the convection-diffusion equation.
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Generation of High-Order Polynomial Patches from Scattered Data,resentations. Iterative energy optimisation of the bounding curves during the construction process also shows positive effect on accuracy and quality of the patches. The combination of this methods results in patches of high polynomial order that feature a high quality surface approximation and almost smooth transitions between elements.
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A Numerical Study of Averaging Error Indicators in ,-FEM,for .-FEM. In particular, averaging over two neighbouring elements using global polynomials of the same polynomial degree as the finite element solution leads to reliability and efficiency up to a factor of order .(.).
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