Titlebook: Large-Scale Scientific Computing; 8th International Co Ivan Lirkov,Svetozar Margenov,Jerzy Wa?niewski Conference proceedings 2012 Springer-

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Additive Schur Complement Approximation for Elliptic Problems with Oscillatory Coefficientsar algebraic equations arising from finite element discretization of Partial Differential Equations (PDE). Here we consider a model problem of a scalar elliptic PDE with highly oscillatory (piecewise constant) diffusion coefficient. The main ideas are illustrated by three different examples that rev

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Hypomania

Optimization-Based Modeling with Applications to Transport: Part 3. Computational Studiesework uses optimization and control ideas to assemble and decompose multiphysics operators and to preserve their fundamental physical properties in the discretization process. One application of the framework is in the formulation of robust algorithms for optimization-based transport (OBT). Based on

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Classical and Relaxed Progressively Refining Discretization-Optimization Methods for Optimal Controlts. Since the problem may have no classical solutions, it is also formulated in the relaxed form. Various necessary/sufficient conditions for optimality are first given for both formulations. In order to solve these problems numerically, we then propose a discrete penalized gradient projection metho

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Reachable Sets of Impulsive Control System with Cone Constraint on the Control and Their Estimates It is assumed that the impulsive controls in the dynamical system belong to the intersection of a special cone with a generalized ellipsoid both taken in the space of functions of bounded variation. The algorithms for constructing the external ellipsoidal estimates of reachable sets for such contro

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Optimal Mass Transportation-Based Models for Neuronal Fibersm such data (tractography problem) is relevant in particular to study the connectivity between two given cerebral regions. By considering the fiber paths between two given areas as geodesics of a suitable well-posed optimal control problem (related to optimal mass transportation), we are able to pro

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