Titlebook: Numerical Mathematics and Advanced Applications; Proceedings of ENUMA Alfredo Bermúdez de Castro,Dolores Gómez,Pilar Sal Conference proceed

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Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimationy at possibly low computational cost measured in terms of degrees of freedom. In particular, we propose a scheme that can be shown to exhibit convergence to the target value without insisting on energy norm convergence of the primal solution. The theoretical findings are complemented by first numeri

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Quadratic Programming and Scalable Algorithms for Variational Inequalities The unique feature of these algorithms is the rate of convergence in terms of bounds on the spectrum of the Hessian of the cost function. Then we combine these estimates with some results on the FETI method (FETI-DP, FETI and Total FETI) to get the convergence bounds that guarantee the scalability

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Highly Accurate Conservative Finite Difference Schemes and Adaptive Mesh Refinement Techniques for Htions of complex flows [3, 6]. This scheme is based on Shu and Osher’s technique [9] for the design of highly accurate finite difference schemes obtained by flux reconstruction procedures (ENO, WENO) on Cartesian meshes and Donat-Marquina’s flux splitting [4]. We then motivate the need for mesh adap

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