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Chapter and Conference Paper
Reduced Sum Implementation of the BURA Method for Spectral Fractional Diffusion Problems
The numerical solution of spectral fractional diffusion problems in the form \({\mathcal A}^\alpha u = f\)
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Chapter and Conference Paper
Computer Simulation of a Saline Enhanced Radio-Frequency Hepatic Ablation Process
We consider the simulation of thermal and electrical processes, involved in a radio-frequency ablation procedure. Radio-frequency ablation is a low invasive technique for treatment of hepatic tumors, utilizing...
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Chapter and Conference Paper
Parallel BURA Based Numerical Solution of Fractional Laplacian with Pure Neumann Boundary Conditions
The study is motivated by the increased usage of fractional Laplacian in the modeling of nonlocal problems like anomalous diffusion. We present a parallel numerical solution method for the nonlocal elliptic pr...
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Chapter and Conference Paper
Performance Analysis of MG Preconditioning on Intel Xeon Phi: Towards Scalability for Extreme Scale Problems with Fractional Laplacians
The Intel Xeon Phi architecture is currently a popular choice for supercomputers, with many entries of the Top 500 list, using it either as main processors or as accelerators/coprocessors. In this paper, we ex...
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Chapter and Conference Paper
Thermoelectrical Tick Removal Process Modeling
Ticks are widespread ectoparasites. They feed on blood of animals like birds and mammals, including humans. They are carriers and transmitters of pathogens, which cause many diseases, including tick-borne meningo...
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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-...
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Chapter and Conference Paper
Performance Analysis of Block AMG Preconditioning of Poroelasticity Equations
The goal of this study is to develop, analyze, and implement efficient numerical algorithms for equations of linear poroelasticity, a macroscopically diphasic description of coupled flow and mechanics. We supp...
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Chapter and Conference Paper
Balancing the Communications and Computations in Parallel FEM Simulations on Unstructured Grids
We consider large scale finite element modeling on 3D unstructured grids. Large scale problems imply the use of parallel hardware and software. In general, the computational process on unstructured grids inclu...
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Chapter and Conference Paper
Parallel MIC(0) Preconditioning for Numerical Upscaling of Anisotropic Linear Elastic Materials
Numerical homogenization is used for upscaling of the linear elasticity tensor of strongly heterogeneous microstructures. The implemented 3D algorithm is described in terms of six auxiliary elastic problems fo...
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Chapter and Conference Paper
Parallel Performance Evaluation of MIC(0) Preconditioning Algorithm for Voxel μFE Simulation
Numerical homogenization is used for up-scaling of a linear elasticity tensor of strongly heterogeneous micro-structures. Utilized approach assumes presence of a periodic micro-structure and thus periodic boun...
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Chapter and Conference Paper
Comparative Analysis of High Performance Solvers for 3D Elasticity Problems
We consider the numerical solution of 3D linear elasticity equations. The investigated problem is described by a coupled system of second order elliptic partial differential equations. This system is then disc...
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Chapter and Conference Paper
Parallel DD-MIC(0) Preconditioning of Nonconforming Rotated Trilinear FEM Elasticity Systems
A new parallel preconditioning algorithm for 3D nonconforming FEM elasticity systems is presented. The preconditioner is constructed in two steps. First, displacement decomposition of the stiffness matrix is u...
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Chapter and Conference Paper
Benchmarking Performance Analysis of Parallel Solver for 3D Elasticity Problems
In this paper we consider numerical solution of 3D linear elasticity equations described by a coupled system of second order elliptic partial differential equations. This system is discretized by trilinear par...
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Chapter and Conference Paper
Parallel Incomplete Factorization of 3D NC FEM Elliptic Systems
A new parallel preconditioner for solution of large scale second order 3D FEM elliptic systems is presented. The problem is discretized by rotated trilinear non-conforming finite elements. The algorithm is bas...
