A MODIFIED BOUNDARY ELEMENT METHOD FOR SOLVING VIBRATION OF PLATES

Abstract

This work is devoted to developing algorithms for the solution of wave problems in mathematical physics on the basis of the boundary element method (BEM). The main advantages of the boundary element method is reduced to one dimension of the problem and transfer sample to the boundary of the study area, as well as obtaining a continuous solution in the region. As a consequence, reduces the amount of calculation and improves the accuracy of the solution.

Authors and Affiliations

Vladimir Fedotov

Keywords

Related Articles

A PRIORI ESTIMATE OF THE SOLUTION OF THE ANALOGUE OF THE SECOND BOUNDARY-VALUE PROBLEM FOR THE GENERALIZED THIRD-ORDER EQUATION WITH SHORT CHARACTERISTICS

We consider the boundary-value problem for a third-order equation of parabolic type with the fractional derivative of Caputo. By the method of energy inequalities an a priori estimate of the solution of the analogue of t...

REVERSALS IN THE SIX-JET GEODYNAMO MODEL

We describe a large-scale geodynamo model based on hypothesis about 6-jet convection in the Earth’s core. This hypothesis suggests indirect data of inhomogeneities in the density of the Earth’s core. The convection patte...

THE BOUNDARY VALUE PROBLEM FOR THE GENERALIZED MOISTURE TRANSFER EQUATION

In mathematical modeling of continuous media with memory, we deal with equations that describe a new type of wave motion, something between ordinary wave diffusion and classical wave propagation. There are fractional dif...

ON SOME SHARP THEOREMS ON DISTANCE FUNCTION IN HARDY TYPE, BERGMAN TYPE AND HERZ TYPE ANALYTIC CLASSES

We present some new sharp estimates concerning distance function in some new mixed norm and Lizorkin-Triebel type spaces in the unit ball.This leads at the same time to direct generalizations of our recent results on ext...

A NONLOCAL BOUNDARY VALUE PROBLEM FOR A MIXED-TYPE EQUATION IN AN UNBOUNDED DOMAIN, WHICH IS PART OF AN ELLIPTIC RECTANGLE

In an article for mixed-type equation in an unbounded domain elliptic part is a rectangle, the unique solvability of a nonlocal boundary value problem. The uniqueness of the solution is proved by energy integrals, and th...

Download PDF file
  • EP ID EP466349
  • DOI 10.18454/2079-6641-2011-3-2-18-32
  • Views 88
  • Downloads 0

How To Cite

Vladimir Fedotov (2011). A MODIFIED BOUNDARY ELEMENT METHOD FOR SOLVING VIBRATION OF PLATES. Вестник КРАУНЦ. Физико-математические науки, 2(), 18-32. https://europub.co.uk./articles/-A-466349