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LEADER: 03426mam a2200385 a 4500
001 1450764
005 20220602040453.0
008 940204t19941994enka b 000 0 eng
010 $a 93074381
020 $a1853122777 (Southampton)
020 $a1562522019 (Boston)
035 $a(OCoLC)ocm30831317
035 $9AHX1785CU
035 $a1450764
040 $aDLC$cDLC
050 00 $aTA347.B69$bM84 1994
245 04 $aThe Multiple reciprocity boundary element method /$ceditors, A.J. Nowak, A.C. Neves.
260 $aSouthampton ;$aBoston, MA :$bComputational Mechanics Publications,$c[1994], ©1994.
300 $a240 pages :$billustrations ;$c25 cm.
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
490 1 $aInternational series on computational engineering
504 $aIncludes bibliographical references.
505 2 $a1. Introduction -- 2. Fundamentals of the multiple reciprocity method -- 3. Application of the multiple reciprocity method to potential problems -- 4. Application of the multiple reciprocity method to Helmholtz equation -- 5. Application of the multiple reciprocity method to eigenvalue analysis of the Helmholtz equation -- 6. Application of the multiple reciprocity method to neutron diffusion problems -- 7. Application of the multiple reciprocity method to vibration problems -- 8. Application of the multiple reciprocity method to elasticity problems -- 9. Application of the multiple reciprocity method to low Reynolds number with inertial and non-permanent effects.
520 $aThe boundary element method (BEM) is a numerical technique which is now emerging as a viable alternative to finite difference and finite element methods for solving a wide range of engineering problems. The main advantage of the BEM over domain-type methods is its unique ability to confine the dependence of the problem solution to the boundary values only.
520 8 $aThis reduces the data preparation effort and saves computer time since the system of equations to be solved is smaller than those resulting from domain techniques. However, the main drawback of the BEM occurs in problems such as those with body forces, time-dependent effects or non-linearities. In these cases, the domain integrals that appear in the integral equation are usually evaluated by using cell integration.
520 8 $aAlthough this technique is effective and general, it affects the overall efficiency of the BEM and detracts from its elegance due to the additional internal discretization.
520 8 $aIn an effort to avoid the internal discretization, many different approaches have been developed. The most recent one is the multiple reciprocity method (MRM) which is the main subject of this book. The basic idea behind the MRM is to employ a sequence of higher order fundamental solutions which permit the application of the reciprocity theorem recurrently.
520 8 $aThe success of the method is reflected in the works carried out by several active groups around the world and presented here in the chapters of the book.
650 0 $aBoundary element methods.$0http://id.loc.gov/authorities/subjects/sh88001604
700 1 $aNowak, A. J.$0http://id.loc.gov/authorities/names/nr91039553
700 1 $aNeves, A. C.$0http://id.loc.gov/authorities/names/n94059403
830 0 $aComputational engineering.
852 00 $boff,eng$hTA347.B69$iM84 1994