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Annual index, volume 6, 1989
ANNUAL INDEX, VOLUME 6, 1989
SUBJECT
AUTHOR
INDEX
Analysis of t h i n plates on elastic foundations with boundary element method, 192 Approximate weight function for 2D and 3D-problems, 48 Axisymmetric analysis of multi-layered media, 118 Boundary element m e t h o d for regions with thin internal cavities, 180 Boundary element method for viscous flows at low Reynolds numbers, A, 144 Boundary element solution of the transonic integrodifferential equation, 170 Boundary elements for the analysis of the seismic response of dams including dam-water-foundation interaction effects. I, 152 Boundary elements for the analysis of the seismic response of dams including dam-water-foundation interaction effects. II, 158 Comparison between point collocation and Galerkin for stiffness matrices obtained by boundary elements, A, 123 Conjugate gradient method for second kind integral equations - applications to the exterior acoustic problem, 72 Critical comparison between two transformation methods for taking BEM domain integrals to the boundary, 185 Efficient b o u n d a r y element method for nonlinear water waves, An, 97 General procedure transferring domain integrals onto boundary integrals in BEM, A, 214 Guide to the literature on finite and boundary element techniques a n d software, A, 84 Improved Gaussian quadratures for boundary element integrals (Technical Note), 108 Incremental procedure for friction contact problems with the boundary element method, An, 202 Multiple domain point for Laplace equation in the boundary element method, 136 Multiple-reciprocity method. A new approach for transforming BEM domain integrals to the boundary, The, 164 Observations on weight functions, 3 Plane cracks near interfaces, 30 Pressure calculations by direct transversal integration, 197 Regnlarising transformation integration method for boundary element kernels. Comparison with series expansion a n d weighted Gaussian integration, The, 66 Some computational aspects in three-dimensional and plane stress finite elastoplastic deformation problem, 78 Transonic integro-differential and integral equations with artificial viscosity, 129 Two-dimensional boundary element kernel integration using series expansions, 140 Weight functions and fundamental fields in layered media, 38 Weight functions for crack problems using boundary element analysis, 19
INDEX
Aliabadi, M.H.: Weight functions for crack problems using boundary element analysis, 19 Aliabadi, M.H.: The regnlarising transformation integration m e t h o d for boundary element kernels. Comparison with series expansion a n d weighted Gaussian integration, 66 Aliabadi, M.H.: Two-dimensional boundary element kernel integration using series expansions, 140 Amini, S.: Conjugate gradient method for second kind integral equations - applications to the exterior acoustic problem, 72 Brebbia, C.A.: The multiple-reciprocity method. A new approach for transforming BEM domain integrals to the boundary, 164 Brebbia, C.A.: Critical comparison between two trans formation methods for taking BEM domain integrals to the boundary, 185 Brunet, M.: Some computational aspects in threedimensional and plane stress finite elastoplastic deformation problem, 78 Bueckner, H.F.: Observations on weight functions, 3 Camp, C.V.: A boundary element method for viscous flows at low Reynolds numbers, 144 Chen Ke: Conjugate gradient method for second kind integral equations - applications to the exterior acoustic problem, 72 Defourny, M.: Multiple domain point for Laplace eqantion in the boundary element method, 136 de Ledn, S.: Analysis of thin plates on elastic foundations with boundary element method, 192 de Paula, F.A.: A comparison between point collocation and Galerkin for stiffness matrices obtained by boundary elements, 123 Dominguez, J.: Boundary elements for the analysis of the seismic response of dams including dam-water foundation interaction effects. I, 152 Dominguez, J.: Boundary elements for the analysis of the seismic response of dams including dam-water foundation interaction effects. II, 158 Fett, T.: Approximate weight function for 2D a n d 3Dproblems, 48 Garrido, J.A.: An incremental procedure for friction contact problems with the boundary element method, 202 Giorgini, A.: Pressure calculations by direct transversal integration, 197 Gipson, G.S.: A boundary element method for viscous flows at low Reynolds numbers, 144 Gray, L.J.: Boundary element method for regions with thin internal cavities, 180 Grilli, S.T.: An efficient boundary element method for nonlinear water waves, 97 Griindemann, H.: A general procedure transferring domain integrals onto boundary integrals in BEM, 214 Hall, W.S.: The regularising transformation integration m e t h o d for boundary element ke~rnels. Comparison with Comparison with series expansion a n d weighted Gaussian integration, 66 Hall, W.S.: Two-dimensional b o u n d a r y element kernel integration using series expansions, 140 Hamidi, A.: Pressure calculations by direct transversal integration, 197 Hills, D.A.: Plane cracks near interfaces, 30
Engineering Analysis with Boundary Elements, 1989, Vol, 6, No.4
223
Mackerle, J.: A Guide to the literature on finite and boundary element techniques and software, 84 Mattheck, C.: Approximate weight function for 2D and 3D-problems, 48 Medina, F.: Boundary elements for the analysis of the seismic response of dams including dam-waterfoundation interaction effects. I, 152 Medina, F.: Boundary elements for the analysis of the seismic response of dams including damwater-foundation interaction effects. II, 158 Munz, D.: Approximate weight function for 2D and 3D-problems, 48 Nowak, A.J.: The multiple-reclprocity method. A new approach for transforming BEM domain integrals to the boundary, 164 Nowell, D: Plane cracks near interfaces, 30 Ogana, W.: Transonic integro-differential and integral equations with artificial viscosity, 129 Ogana, W.: Boundary element solution of the transonic integro-differential equation, 170 Paris, F.: Analysis of thin plates on elastic foundations with ations with boundary element method, 192
RE Problems in Distributions t i a l Equations
and Partial
Differen-
Paris, F.: An incremental procedure for friction contact problems with the boundary element method, 202 Booke, D.P.: Weight functions for crack problems using boundary element analysis, 19 Sackfield, A.: Plane cracks near interfaces, 30 Sham, T.-L.: Weight functions and fundamental fields in layered media, 38 Skourup, J.: An efficient boundary element method for nonlinear water waves, 97 Stolle, D.F.E.: Axisymmetric analysis of multi-layered media, 118 Svendsen, I.A.: An efficient boundary element method for nonlinear water waves, 97 Tang, W.: Critical comparison between two transformation methods for taking BEM domain integrals to the boundary, 185 Telles, J.C.F.: A comparison between point collocation and Galerkin for stiffness matrices obtained by boundary elements, 123 Yao, M.W.: Improved Gaussian quadratures for boundary element integrals, (Technical Note), 108 Zhou, Y.: Weight functions and fundamentals fields in layered media, 38
BOOK V I EWS Tauberian Theorems for Generalised Functions Soviet Series, M a t h e m a t i c s a n d its A p p l i c a t i o n s
C. Zuily
V.S. Vladminirov, Y.N. Drozzinov and B.I. Zavialov
P u b l i s h e d by: N o r t h - H o l l a n d , 1988, 248 pp. Price: $79.00, ISBN: 0 444 70248 2
P u b l i s h e d by: D. Reidel P u b l i s h i n g Co., H a r d b a c k , 308pp. Price: £ 5 7 . 2 5 / $ 8 9 . 0 0 , ISBN: 902 7723834
T h e a i m of this b o o k is to p r o v i d e a c o m p r e h e n s i v e i n t r o d u c t i o n to t h e t h e o r y of d i s t r i b u t i o n s , b y t h e use of solved p r o b l e m s . A l t h o u g h w r i t t e n for m a t h e m a t i cians, it can also be used b y a wider audience, i n c l u d i n g engineers a n d physicists. T h e first six c h a p t e r s deal with the classical theory, w i t h special e m p h a s i s on the concrete aspects. T h e r e a d e r will find m a n y e x a m p l e s of d i s t r i b u t i o n s a n d learn how to work w i t h t h e m . A t the b e g i n n i n g of each c h a p t e r the r e l e v a n t t h e o r e t i c a l m a t e r i a l is briefly recalled. T h e l a s t c h a p t e r is a s h o r t i n t r o d u c t i o n to a very wide a n d i m p o r t a n t field in analysis which can be considered as the m o s t n a t u r a l a p p l i c a t i o n of d i s t r i b u tions, n a m e l y t h e t h e o r y of p a r t i a l differential equations. It includes exercises on t h e classical different i a l o p e r a t o r s (Laplace, h e a t wave c~, elliptic o p e r a tors) a n d on f u n d a m e n t a l solutions, h y p o e l l i p t i c i t y , analytic h y p o e l l i p t i c i t y , Sobolev spaces, local solvability, t h e C a u c h y p r o b l e m , etc.
224
T a u b e r i a n T h e o r e m s are u s u a l l y a s s u m e d to connect the a s y m p t o t i c b e h a v i o u r of a generalised f u n c t i o n (or d i s t r i b u t i o n ) in t h e n e i g h b o u r h o o d of zero w i t h t h a t of its Fourier T r a n s f o r m , L a p l a c e T r a n s f o r m , or some o t h e r integral t r a n s f o r m at infinity. T h e inverse theorems are u s u a l l y called A b e l i a n . For t h e case of only one variable, T a u b e r i a n T h e o r y is well a d v a n c e d . However, t h e r e q u i r e m e n t s of m o d ern m a t h e m a t i c a l physics is for t h e d i s t r i b u t i o n (generalised functions) of m a n y variables of the T a u b e r i a n T h e o r y to be developed. T h i s b o o k develops this req u i r e m e n t . C h a p t e r s are: S o m e facts on the t h e o r y of d i s t r i b u t i o n ; M a n y - D i m e n s i o n M T a u b e r i a n T h e o rems; O n e - D i m e n s i o n a l T a u b e r i a n T h e o r e m s ; A s y m p t o t i c P r o p e r t i e s of Solutions of C o n v o l u t i o n E q u a t i o n s ; a n d T a u b e r i a n T h e o r e m s for C a u s a l Functions.
Lance Sucharov Computational Mechanics Institute Southampton, UK
Engineering Analysis with Boundary Elements, 1989, Vol, 6, No.4
SUBJECT
AUTHOR
INDEX
Analysis of t h i n plates on elastic foundations with boundary element method, 192 Approximate weight function for 2D and 3D-problems, 48 Axisymmetric analysis of multi-layered media, 118 Boundary element m e t h o d for regions with thin internal cavities, 180 Boundary element method for viscous flows at low Reynolds numbers, A, 144 Boundary element solution of the transonic integrodifferential equation, 170 Boundary elements for the analysis of the seismic response of dams including dam-water-foundation interaction effects. I, 152 Boundary elements for the analysis of the seismic response of dams including dam-water-foundation interaction effects. II, 158 Comparison between point collocation and Galerkin for stiffness matrices obtained by boundary elements, A, 123 Conjugate gradient method for second kind integral equations - applications to the exterior acoustic problem, 72 Critical comparison between two transformation methods for taking BEM domain integrals to the boundary, 185 Efficient b o u n d a r y element method for nonlinear water waves, An, 97 General procedure transferring domain integrals onto boundary integrals in BEM, A, 214 Guide to the literature on finite and boundary element techniques a n d software, A, 84 Improved Gaussian quadratures for boundary element integrals (Technical Note), 108 Incremental procedure for friction contact problems with the boundary element method, An, 202 Multiple domain point for Laplace equation in the boundary element method, 136 Multiple-reciprocity method. A new approach for transforming BEM domain integrals to the boundary, The, 164 Observations on weight functions, 3 Plane cracks near interfaces, 30 Pressure calculations by direct transversal integration, 197 Regnlarising transformation integration method for boundary element kernels. Comparison with series expansion a n d weighted Gaussian integration, The, 66 Some computational aspects in three-dimensional and plane stress finite elastoplastic deformation problem, 78 Transonic integro-differential and integral equations with artificial viscosity, 129 Two-dimensional boundary element kernel integration using series expansions, 140 Weight functions and fundamental fields in layered media, 38 Weight functions for crack problems using boundary element analysis, 19
INDEX
Aliabadi, M.H.: Weight functions for crack problems using boundary element analysis, 19 Aliabadi, M.H.: The regnlarising transformation integration m e t h o d for boundary element kernels. Comparison with series expansion a n d weighted Gaussian integration, 66 Aliabadi, M.H.: Two-dimensional boundary element kernel integration using series expansions, 140 Amini, S.: Conjugate gradient method for second kind integral equations - applications to the exterior acoustic problem, 72 Brebbia, C.A.: The multiple-reciprocity method. A new approach for transforming BEM domain integrals to the boundary, 164 Brebbia, C.A.: Critical comparison between two trans formation methods for taking BEM domain integrals to the boundary, 185 Brunet, M.: Some computational aspects in threedimensional and plane stress finite elastoplastic deformation problem, 78 Bueckner, H.F.: Observations on weight functions, 3 Camp, C.V.: A boundary element method for viscous flows at low Reynolds numbers, 144 Chen Ke: Conjugate gradient method for second kind integral equations - applications to the exterior acoustic problem, 72 Defourny, M.: Multiple domain point for Laplace eqantion in the boundary element method, 136 de Ledn, S.: Analysis of thin plates on elastic foundations with boundary element method, 192 de Paula, F.A.: A comparison between point collocation and Galerkin for stiffness matrices obtained by boundary elements, 123 Dominguez, J.: Boundary elements for the analysis of the seismic response of dams including dam-water foundation interaction effects. I, 152 Dominguez, J.: Boundary elements for the analysis of the seismic response of dams including dam-water foundation interaction effects. II, 158 Fett, T.: Approximate weight function for 2D a n d 3Dproblems, 48 Garrido, J.A.: An incremental procedure for friction contact problems with the boundary element method, 202 Giorgini, A.: Pressure calculations by direct transversal integration, 197 Gipson, G.S.: A boundary element method for viscous flows at low Reynolds numbers, 144 Gray, L.J.: Boundary element method for regions with thin internal cavities, 180 Grilli, S.T.: An efficient boundary element method for nonlinear water waves, 97 Griindemann, H.: A general procedure transferring domain integrals onto boundary integrals in BEM, 214 Hall, W.S.: The regularising transformation integration m e t h o d for boundary element ke~rnels. Comparison with Comparison with series expansion a n d weighted Gaussian integration, 66 Hall, W.S.: Two-dimensional b o u n d a r y element kernel integration using series expansions, 140 Hamidi, A.: Pressure calculations by direct transversal integration, 197 Hills, D.A.: Plane cracks near interfaces, 30
Engineering Analysis with Boundary Elements, 1989, Vol, 6, No.4
223
Mackerle, J.: A Guide to the literature on finite and boundary element techniques and software, 84 Mattheck, C.: Approximate weight function for 2D and 3D-problems, 48 Medina, F.: Boundary elements for the analysis of the seismic response of dams including dam-waterfoundation interaction effects. I, 152 Medina, F.: Boundary elements for the analysis of the seismic response of dams including damwater-foundation interaction effects. II, 158 Munz, D.: Approximate weight function for 2D and 3D-problems, 48 Nowak, A.J.: The multiple-reclprocity method. A new approach for transforming BEM domain integrals to the boundary, 164 Nowell, D: Plane cracks near interfaces, 30 Ogana, W.: Transonic integro-differential and integral equations with artificial viscosity, 129 Ogana, W.: Boundary element solution of the transonic integro-differential equation, 170 Paris, F.: Analysis of thin plates on elastic foundations with ations with boundary element method, 192
RE Problems in Distributions t i a l Equations
and Partial
Differen-
Paris, F.: An incremental procedure for friction contact problems with the boundary element method, 202 Booke, D.P.: Weight functions for crack problems using boundary element analysis, 19 Sackfield, A.: Plane cracks near interfaces, 30 Sham, T.-L.: Weight functions and fundamental fields in layered media, 38 Skourup, J.: An efficient boundary element method for nonlinear water waves, 97 Stolle, D.F.E.: Axisymmetric analysis of multi-layered media, 118 Svendsen, I.A.: An efficient boundary element method for nonlinear water waves, 97 Tang, W.: Critical comparison between two transformation methods for taking BEM domain integrals to the boundary, 185 Telles, J.C.F.: A comparison between point collocation and Galerkin for stiffness matrices obtained by boundary elements, 123 Yao, M.W.: Improved Gaussian quadratures for boundary element integrals, (Technical Note), 108 Zhou, Y.: Weight functions and fundamentals fields in layered media, 38
BOOK V I EWS Tauberian Theorems for Generalised Functions Soviet Series, M a t h e m a t i c s a n d its A p p l i c a t i o n s
C. Zuily
V.S. Vladminirov, Y.N. Drozzinov and B.I. Zavialov
P u b l i s h e d by: N o r t h - H o l l a n d , 1988, 248 pp. Price: $79.00, ISBN: 0 444 70248 2
P u b l i s h e d by: D. Reidel P u b l i s h i n g Co., H a r d b a c k , 308pp. Price: £ 5 7 . 2 5 / $ 8 9 . 0 0 , ISBN: 902 7723834
T h e a i m of this b o o k is to p r o v i d e a c o m p r e h e n s i v e i n t r o d u c t i o n to t h e t h e o r y of d i s t r i b u t i o n s , b y t h e use of solved p r o b l e m s . A l t h o u g h w r i t t e n for m a t h e m a t i cians, it can also be used b y a wider audience, i n c l u d i n g engineers a n d physicists. T h e first six c h a p t e r s deal with the classical theory, w i t h special e m p h a s i s on the concrete aspects. T h e r e a d e r will find m a n y e x a m p l e s of d i s t r i b u t i o n s a n d learn how to work w i t h t h e m . A t the b e g i n n i n g of each c h a p t e r the r e l e v a n t t h e o r e t i c a l m a t e r i a l is briefly recalled. T h e l a s t c h a p t e r is a s h o r t i n t r o d u c t i o n to a very wide a n d i m p o r t a n t field in analysis which can be considered as the m o s t n a t u r a l a p p l i c a t i o n of d i s t r i b u tions, n a m e l y t h e t h e o r y of p a r t i a l differential equations. It includes exercises on t h e classical different i a l o p e r a t o r s (Laplace, h e a t wave c~, elliptic o p e r a tors) a n d on f u n d a m e n t a l solutions, h y p o e l l i p t i c i t y , analytic h y p o e l l i p t i c i t y , Sobolev spaces, local solvability, t h e C a u c h y p r o b l e m , etc.
224
T a u b e r i a n T h e o r e m s are u s u a l l y a s s u m e d to connect the a s y m p t o t i c b e h a v i o u r of a generalised f u n c t i o n (or d i s t r i b u t i o n ) in t h e n e i g h b o u r h o o d of zero w i t h t h a t of its Fourier T r a n s f o r m , L a p l a c e T r a n s f o r m , or some o t h e r integral t r a n s f o r m at infinity. T h e inverse theorems are u s u a l l y called A b e l i a n . For t h e case of only one variable, T a u b e r i a n T h e o r y is well a d v a n c e d . However, t h e r e q u i r e m e n t s of m o d ern m a t h e m a t i c a l physics is for t h e d i s t r i b u t i o n (generalised functions) of m a n y variables of the T a u b e r i a n T h e o r y to be developed. T h i s b o o k develops this req u i r e m e n t . C h a p t e r s are: S o m e facts on the t h e o r y of d i s t r i b u t i o n ; M a n y - D i m e n s i o n M T a u b e r i a n T h e o rems; O n e - D i m e n s i o n a l T a u b e r i a n T h e o r e m s ; A s y m p t o t i c P r o p e r t i e s of Solutions of C o n v o l u t i o n E q u a t i o n s ; a n d T a u b e r i a n T h e o r e m s for C a u s a l Functions.
Lance Sucharov Computational Mechanics Institute Southampton, UK
Engineering Analysis with Boundary Elements, 1989, Vol, 6, No.4