1 semester

1

Course Title

Modern Numerical Methods

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Course, speciality

Master course, 1st year, Mechanics and Mathematical Modeling

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Semester

1

4

Credits

5

5

Lecturer

Senior Lecturer D. Marmysh

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Goals

Increase the level of professional competence in the modern methods and approaches to numeric analyze of stress-strain state of solid body.

As a result of the study, the master student should be able to:

–   conduct a numerical analysis of the stress-strain state of bodies with complex geometry and mixed boundary conditions;

–    transfer from differential and / or integral operators in the problem to their discrete counterparts;

–    apply the method of analytic boundary elements for the plane and spatial problems of the theory of elasticity;

–    apply the method of boundary elements in problems of the theory of viscoelasticity;

–    apply the method of boundary elements in the problems of the theory of plasticity;

–    apply OpenMP and MPI technologies for parallel computing on multi-core processors;

–    apply CUDA technology for computing on graphics processors.

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Prerequisites

Numerical Methods, Mathematical models of the mechanics of a deformed solid body

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Contents

The method of analytic boundary elements for problems in the theory of elasticity

The method of boundary elements in problems of the theory of viscoelasticity and plasticity

Methods for parallelizing computations using OpenMP and MPI

High-performance computing on graphics processors using CUDA technology

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Recommended Literature

Beer, G. The boundary element method with programming / G. Beer [et al.]. – Berlin: Springer, 2008.

Chapman, B. Using OpenMP / B.Chapman, G.Jost, R.V. der Pas. London: Cambridge, 2008.

Sanders, J. CUDA by Example: An Introduction to General – Purpose GPU Programming / J. Sanders, E. Kandrot. Pearson, 2011.

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Teaching methodology

Lectures and practical trainings

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Language

English

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Conditions,

current control

– individuals tasks

Оценка на экзамене выставляется с учётом:

20% – current work, 40% – individuals task, 40% – examination

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Examination methodology

Examination