Pub Date : 2019-05-20DOI: 10.1201/9780429123634-55
F. Unsacar, S. Halkaci, A. Majlessi
{"title":"Expert system design for fault diagnosing in CNC machine tools","authors":"F. Unsacar, S. Halkaci, A. Majlessi","doi":"10.1201/9780429123634-55","DOIUrl":"https://doi.org/10.1201/9780429123634-55","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"156 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124375129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-20DOI: 10.1201/9781420036039.CH60
G. Yu, A. Narain
{"title":"Computational simulations and flow domain classification for laminar/laminar annular/stratified condensing flows","authors":"G. Yu, A. Narain","doi":"10.1201/9781420036039.CH60","DOIUrl":"https://doi.org/10.1201/9781420036039.CH60","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114408086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-20DOI: 10.1201/9780429123634-44
Z. Okonkwo
{"title":"Admissibility and optimal control for stochastic difference equatiosn","authors":"Z. Okonkwo","doi":"10.1201/9780429123634-44","DOIUrl":"https://doi.org/10.1201/9780429123634-44","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114518294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-20DOI: 10.1201/9781420036039.ch32
M. Kashtalyan, Constantinos Soutis
{"title":"Analytic investigation of thick anisotropic plates with undulating surfaces","authors":"M. Kashtalyan, Constantinos Soutis","doi":"10.1201/9781420036039.ch32","DOIUrl":"https://doi.org/10.1201/9781420036039.ch32","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121581926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-20DOI: 10.1201/9780429123634-35
S. Langdon
{"title":"A boundary integral equation method for the heat equation","authors":"S. Langdon","doi":"10.1201/9780429123634-35","DOIUrl":"https://doi.org/10.1201/9780429123634-35","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128298534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-20DOI: 10.1201/9780429123634-33
N. Khatiashvili
{"title":"On Stokes’s nonlinear integral wave equation","authors":"N. Khatiashvili","doi":"10.1201/9780429123634-33","DOIUrl":"https://doi.org/10.1201/9780429123634-33","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"2 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116866951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-20DOI: 10.1201/9780429123634-40
M. Mitrea
Parenthetically, we observe that if L is strongly elliptic, then L− λ, λ ∈ R, satisfies the non-singularity hypothesis (3) relative to any subdomain Ω ⊆ M provided λ is sufficiently large. This is a consequence of Garding’s inequality, which is valid in our setting (even though V may be unbounded). Also, clearly, if L is strongly elliptic and negative semidefinite, then L−λ satisfies (3) for any λ > 0. A concrete example of an elliptic, formally self-adjoint operator satisfying (1)–(3) is the Hodge-Laplacian corresponding to a Riemannian metric with coefficients in H2,r, r > m. Let Ω be a Lipschitz subdomain of M , and let ν ∈ T ∗M be the unit outward conormal to ∂Ω. In order to formalize the partial derivative operator u 7→ ∇wu+Au, where A ∈ L∞(M, Hom (E , E)) and w is a vector field on M transversal to ∂Ω (that is, essinf 〈ν, w〉 > 0 on ∂Ω), we work with a first-order differential operator P = P (x, D) on E such that
另外，我们观察到，如果L是强椭圆型的，则在λ足够大的情况下，L−λ， λ∈R满足相对于任意子域Ω的非奇异假设(3)。这是Garding不等式的结果，它在我们的设置中是有效的(即使V可能是无界的)。同样，如果L是强椭圆且是负半定的，那么对于任意λ > 0, L−λ满足(3)。一个满足(1)-(3)的椭圆形式自伴随算子的具体例子是对应于系数在H2,r, r > m的黎曼度规的Hodge-Laplacian。设Ω是m的Lipschitz子域，设ν∈T∗m是∂Ω的向外正交的单位。为了形式化偏导数算子u 7→∇wu+Au，其中A∈L∞(M, hm (E, E))并且w是M上与∂Ω横切的向量场(即在∂Ω上essinf < ν， w > > 0)，我们处理E上的一阶微分算子P = P (x, D)，使得
{"title":"The oblique derivative problem for general elliptic systems in Lipschitz domains","authors":"M. Mitrea","doi":"10.1201/9780429123634-40","DOIUrl":"https://doi.org/10.1201/9780429123634-40","url":null,"abstract":"Parenthetically, we observe that if L is strongly elliptic, then L− λ, λ ∈ R, satisfies the non-singularity hypothesis (3) relative to any subdomain Ω ⊆ M provided λ is sufficiently large. This is a consequence of Garding’s inequality, which is valid in our setting (even though V may be unbounded). Also, clearly, if L is strongly elliptic and negative semidefinite, then L−λ satisfies (3) for any λ > 0. A concrete example of an elliptic, formally self-adjoint operator satisfying (1)–(3) is the Hodge-Laplacian corresponding to a Riemannian metric with coefficients in H2,r, r > m. Let Ω be a Lipschitz subdomain of M , and let ν ∈ T ∗M be the unit outward conormal to ∂Ω. In order to formalize the partial derivative operator u 7→ ∇wu+Au, where A ∈ L∞(M, Hom (E , E)) and w is a vector field on M transversal to ∂Ω (that is, essinf 〈ν, w〉 > 0 on ∂Ω), we work with a first-order differential operator P = P (x, D) on E such that","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127651621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-20DOI: 10.1201/9781420036039.CH36
Q. Liu, A. Narain
{"title":"Computational simulation and interfacial shear models for downward annular wavy-interface condensing flow in a vertical pipe","authors":"Q. Liu, A. Narain","doi":"10.1201/9781420036039.CH36","DOIUrl":"https://doi.org/10.1201/9781420036039.CH36","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129513092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-05-20DOI: 10.1201/9781420036039.CH29
K. Hayami, S. Sauter, B. Bertram
Despite ist advantage of boudary-only discretization, the standard boundary element method (BEM) involves huge computational costs for large-scale 3-D problems due to its dense matrix formulation. The situation is even worse for the 3-D elastostatic problem, where the number of unknowns is three times that of the potential problem. In this paper, we will apply the panel clustering method using multipole expansions in ordr to reduce the computational costs for the 3-D boundary elements analysis of elastostatics.
{"title":"A panel clustering method for 3-D elastostatics using spherical harmonics","authors":"K. Hayami, S. Sauter, B. Bertram","doi":"10.1201/9781420036039.CH29","DOIUrl":"https://doi.org/10.1201/9781420036039.CH29","url":null,"abstract":"Despite ist advantage of boudary-only discretization, the standard boundary element method (BEM) involves huge computational costs for large-scale 3-D problems due to its dense matrix formulation. The situation is even worse for the 3-D elastostatic problem, where the number of unknowns is three times that of the potential problem. In this paper, we will apply the panel clustering method using multipole expansions in ordr to reduce the computational costs for the 3-D boundary elements analysis of elastostatics.","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132677360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the use of wavelet expansions and the conjugate gradient method for solving first kind integral equations","authors":"B. Bertram","doi":"10.1201/9780429123634-9","DOIUrl":"https://doi.org/10.1201/9780429123634-9","url":null,"abstract":"","PeriodicalId":169354,"journal":{"name":"Integral Methods in Science and Engineering","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129857674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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