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  1. No Access

    Chapter and Conference Paper

    Effluent Recirculation for Contaminant Removal in Constructed Wetlands Under Uncertainty: A Stochastic Numerical Approach Based on Monte Carlo Methodology

    The problem of the alternative operational technique concerning effluent re-circulation in Horizontal Subsurface Flow Constructed Wetlands (HSF CW), and the possibility of this technique to remove efficiently ...

    Konstantinos Liolios, Georgios Skodras in Large-Scale Scientific Computing (2022)

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    Chapter and Conference Paper

    On General Sum Approximations of Irrational Numbers

    Ivan Georgiev, Lars Kristiansen in Sailing Routes in the World of Computation (2018)

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    Chapter and Conference Paper

    Numerical Homogenization of Epoxy-Clay Composite Materials

    The numerical homogenization of anisotropic linear elastic materials with strongly heterogeneous microstructure is studied. The developed algorithm is applied to the case of two-phase composite material: epoxy...

    Ivan Georgiev, Evgeni Ivanov, S. Margenov, Y. Vutov in Numerical Methods and Applications (2015)

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    Chapter and Conference Paper

    Tall RC Buildings Environmentally Degradated and Strengthened by Cables Under Multiple Earthquakes: A Numerical Approach

    A numerical investigation is presented for the seismic analysis of tall reinforced concrete (RC) Civil Engineering structures, which have been degradated due to extreme environmental actions and are strengthen...

    Angelos Liolios, Anaxagoras Elenas, Asterios Liolios in Numerical Methods and Applications (2015)

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    Chapter and Conference Paper

    Supervised 2-Phase Segmentation of Porous Media with Known Porosity

    Porous media segmentation is a nontrivial and often quite inaccurate process, due to the highly irregular structure of the segmentation phases and the huge interaction among them. In this paper we perform a 2-...

    Ivan Georgiev, Stanislav Harizanov, Yavor Vutov in Large-Scale Scientific Computing (2015)

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    Chapter and Conference Paper

    A Computational Approach for Remediation Procedures in Horizontal Subsurface Flow Constructed Wetlands

    A large-scale computational approach for groundwater flow and contaminant transport and removal in porous media is presented. Emphasis is given to remediation procedures in horizontal subsurface flow construct...

    Konstantinos Liolios, Vassilios Tsihrintzis in Large-Scale Scientific Computing (2012)

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    Chapter and Conference Paper

    Analysis of the CBS Constant for Quadratic Finite Elements

    We study the behavior of the CBS constant as a quality measure for hierarchical two-level splittings of quadratic FEM stiffness matrices. The article is written in the spirit of [3] where the focus is on the r...

    Ivan Georgiev, Maria Lymbery, Svetozar Margenov in Numerical Methods and Applications (2011)

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    Chapter and Conference Paper

    On a Relative Computability Notion for Real Functions

    For any class of total functions in the set of natural numbers, we define what it means for a real function to be conditionally computable with respect to this class. This notion extends a notion of relative u...

    Dimiter Skordev, Ivan Georgiev in Models of Computation in Context (2011)

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    Chapter and Conference Paper

    Multilevel Preconditioning of Crouzeix-Raviart 3D Pure Displacement Elasticity Problems

    In this study we demonstrate how some different techniques which were introduced and studied in previous works by the authors can be integrated and extended in the construction of efficient algebraic multileve...

    Ivan Georgiev, Johannes Kraus, Svetozar Margenov in Large-Scale Scientific Computing (2010)

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    Chapter and Conference Paper

    Multilevel Preconditioning of Rotated Trilinear Non-conforming Finite Element Problems

    In this paper algebraic two-level and multilevel preconditioning algorithms for second order elliptic boundary value problems are constructed, where the discretization is done using Rannacher-Turek non-conform...

    Ivan Georgiev, Johannes Kraus, Svetozar Margenov in Large-Scale Scientific Computing (2008)

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    Chapter and Conference Paper

    Multilevel Preconditioning of 2D Rannacher-Turek FE Problems; Additive and Multiplicative Methods

    In the present paper we concentrate on algebraic two-level and multilevel preconditioners for symmetric positive definite problems arising from discretization by Rannacher-Turek non-conforming rotated bilinear...

    Ivan Georgiev, Johannes Kraus, Svetozar Margenov in Numerical Methods and Applications (2007)

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    Chapter and Conference Paper

    Two-Level Preconditioning of Crouzeix-Raviart Anisotropic FEM Systems

    The studied large-scale linear problems arise from Crouzeix-Raviart non-conforming FEM approximation of second order elliptic boundary value problems. A two-level preconditioner for the case of coefficient ani...

    Gergana Bencheva, Ivan Georgiev, Svetozar Margenov in Large-Scale Scientific Computing (2004)

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    Chapter and Conference Paper

    MIC(0) Preconditioning of Rotated Trilinear FEM Elliptic Systems

    New results on preconditioning of rotated multilinear non-conforming FEM elliptic systems in the case of mesh anisotropy are presented. The stiffness matrix is first approximated by a proper auxiliary M-matrix...

    Ivan Georgiev, Svetozar Margenov in Large-Scale Scientific Computing (2001)