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Boundary Elements and other Mesh Reduction Methods XLI最新文献

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DETERMINATION OF SHAPE PARAMETER IN RBF APPROXIMATION RBF近似中形状参数的确定
Boundary Elements and other Mesh Reduction Methods XLI Pub Date : 2018-09-11 DOI: 10.2495/be410141
A. Karageorghis, P. Tryfonos
{"title":"DETERMINATION OF SHAPE PARAMETER IN RBF APPROXIMATION","authors":"A. Karageorghis, P. Tryfonos","doi":"10.2495/be410141","DOIUrl":"https://doi.org/10.2495/be410141","url":null,"abstract":"We apply a radial basis function (RBF) collocation method for the approximation of functions in two dimensions. The solution is approximated by a linear combination of radial basis functions. The issue of determining the optimal value of the shape parameter is tackled by including it in the unknowns along with the coefficients of the RBFs in the approximation. The resulting nonlinear system of equations is solved by directly applying a standard non-linear solver. The results of some numerical experiments are presented and analysed.","PeriodicalId":208184,"journal":{"name":"Boundary Elements and other Mesh Reduction Methods XLI","volume":"122 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129486993","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}
引用次数: 1
IMPLICIT MODELLING OF GEOLOGICAL STRUCTURES: A CARTESIAN GRID METHOD HANDLING DISCONTINUITIES WITH GHOST POINTS 地质构造的隐式建模:带虚点的不连续点笛卡尔网格处理方法
Boundary Elements and other Mesh Reduction Methods XLI Pub Date : 2018-09-11 DOI: 10.2495/be410171
Julien Renaudeau, M. Irakarama, G. Laurent, F. Maerten, G. Caumon
{"title":"IMPLICIT MODELLING OF GEOLOGICAL STRUCTURES: A CARTESIAN GRID METHOD HANDLING DISCONTINUITIES WITH GHOST POINTS","authors":"Julien Renaudeau, M. Irakarama, G. Laurent, F. Maerten, G. Caumon","doi":"10.2495/be410171","DOIUrl":"https://doi.org/10.2495/be410171","url":null,"abstract":"In geology, implicit structural modelling constructs the geometry of geological structures (e.g. layers) by interpolating between sparse field data. A model is represented by a volumetric scalar field which is discontinuous on structural discontinuities such as faults or stratigraphic unconformities. The management of such discontinuities may involve boolean operations on several scalar fields or the creation of conformal meshes. Instead, we propose a ghost cell technique for the cartesian grid together with a set of relations between the ghost points, the regular nodes, and the discontinuities. Consequently, poor quality meshes are avoided and only the resolution of the grid has an impact on the solution. The modelling problem is posed as a least square’s minimization of a bending energy penalization on data mismatch functions and approximated by finite difference. As all relationships in the grid are implicitly defined, except close to the discontinuities, this algorithm is computationally efficient. We provide some benchmarks of the method on two-dimensional examples with folds, faults, and erosions.","PeriodicalId":208184,"journal":{"name":"Boundary Elements and other Mesh Reduction Methods XLI","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133612253","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}
引用次数: 8
ON THE COMPUTATION OF SINGULAR INTEGRALS OVER TRIANGULAR SURFACES IN R3 关于r3中三角形曲面上奇异积分的计算
Boundary Elements and other Mesh Reduction Methods XLI Pub Date : 2018-09-11 DOI: 10.2495/BE410091
Hrvoje Dodig, M. Cvetković, D. Poljak
{"title":"ON THE COMPUTATION OF SINGULAR INTEGRALS OVER TRIANGULAR SURFACES IN R3","authors":"Hrvoje Dodig, M. Cvetković, D. Poljak","doi":"10.2495/BE410091","DOIUrl":"https://doi.org/10.2495/BE410091","url":null,"abstract":"Various integral equation formulations and the related numerical solutions either via Boundary Element Method (BEM) or Method of Moments (MoM) require tedious calculation of double surface integrals arising from the use of vector triangular basis functions. This paper presents an accurate technique for computation of these integrals by first converting the surface integrals to contour integrals facilitating the decomposition of boundary integral to the sum of line integrals over triangle edges. It was shown that application of this technique to a Laplace type of equations yields expressions having analytical solutions. Moreover, although the same was not possible to achieve in case of integrals involving Helmholtz kernels, nonetheless, the technique enabled the computation of surface integrals to a machine accuracy by employing the adaptive quadrature rules. This approach could be found useful in the high frequency computational dosimetry.","PeriodicalId":208184,"journal":{"name":"Boundary Elements and other Mesh Reduction Methods XLI","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114722685","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}
引用次数: 3
ITERATIVE BOUNDARY ELEMENT METHOD FOR CRACKS IN A THERMAL MEDIUM WITH EXACT CRACK FACE BOUNDARY CONDITIONS 具有精确裂纹面边界条件的热介质裂纹的迭代边界元法
Boundary Elements and other Mesh Reduction Methods XLI Pub Date : 2018-09-11 DOI: 10.2495/BE410051
Qiaoyun Zhang, Ya-guang Guo, Ming-gao Zhao
{"title":"ITERATIVE BOUNDARY ELEMENT METHOD FOR CRACKS IN A THERMAL MEDIUM WITH EXACT CRACK FACE BOUNDARY CONDITIONS","authors":"Qiaoyun Zhang, Ya-guang Guo, Ming-gao Zhao","doi":"10.2495/BE410051","DOIUrl":"https://doi.org/10.2495/BE410051","url":null,"abstract":"An iterative boundary element method is proposed to analyze cracks with exact crack face boundary conditions in thermoelastic solids. Herein, the crack was opened under external loading, whereupon the opened cavity was considered a domain. The boundary element method for the crack-cavity domain and the sub-region boundary element method for the outer thermoelastic solid were used iteratively to obtain the real deformed crack faces. In this approach, the exact face boundary conditions on crack faces were used and the stress intensity factor and thermal flux density intensity factor near the crack tip were calculated.","PeriodicalId":208184,"journal":{"name":"Boundary Elements and other Mesh Reduction Methods XLI","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132043603","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}
引用次数: 0
MULTI-DOMAIN BOUNDARY ELEMENT METHOD FOR AXISYMMETRIC PROBLEMS IN POTENTIAL THEORY AND LINEAR ISOTROPIC ELASTICITY 势理论和线各向同性弹性轴对称问题的多域边界元法
Boundary Elements and other Mesh Reduction Methods XLI Pub Date : 2018-09-11 DOI: 10.2495/be410021
Vasyl Gnitko, Kyryl Degtyariov, A. Karaiev, E. Strelnikova
{"title":"MULTI-DOMAIN BOUNDARY ELEMENT METHOD FOR AXISYMMETRIC PROBLEMS IN POTENTIAL THEORY AND LINEAR ISOTROPIC ELASTICITY","authors":"Vasyl Gnitko, Kyryl Degtyariov, A. Karaiev, E. Strelnikova","doi":"10.2495/be410021","DOIUrl":"https://doi.org/10.2495/be410021","url":null,"abstract":"The paper presents an approach based on reduced boundary element methods to resolve axisymmetric problems in potential and linear isotropic elasticity theories. The singular integral equations for these problems are received using fundamental solutions. Initially three-dimensional problems expressed in Cartesian coordinates are transformed to cylindrical ones and integrated with respect to the circumference coordinate. So the three-dimensional axisymmetric problems are reduced to systems of singular integral equations requiring the evaluation of linear integrals only. The fundamental solutions and their derivatives are expressed in terms of complete elliptic integrals. The effective algorithm for treatment of the singular integrals is proposed. The multi-domain boundary element method is applied for the numerical simulation. As examples, the following problems are considered: fluid induced vibrations of a compound cylindrical-spherical elastic shell partially filled with an ideal incompressible liquid, and axisymmetric elasticity problems for an isotropic body with rigid or elastic circular cylindrical inclusions.","PeriodicalId":208184,"journal":{"name":"Boundary Elements and other Mesh Reduction Methods XLI","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130895245","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}
引用次数: 15
FAST GENERATION OF VARIABLE DENSITY NODE DISTRIBUTIONS FOR MESH-FREE METHODS 快速生成无网格方法的变密度节点分布
Boundary Elements and other Mesh Reduction Methods XLI Pub Date : 2018-09-11 DOI: 10.2495/BE410151
J. Slak, G. Kosec
{"title":"FAST GENERATION OF VARIABLE DENSITY NODE DISTRIBUTIONS FOR MESH-FREE METHODS","authors":"J. Slak, G. Kosec","doi":"10.2495/BE410151","DOIUrl":"https://doi.org/10.2495/BE410151","url":null,"abstract":"","PeriodicalId":208184,"journal":{"name":"Boundary Elements and other Mesh Reduction Methods XLI","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132214197","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}
引用次数: 4
MULTIDOMAIN SINGULAR BOUNDARY METHOD FOR 2D LAMINAR VISCOUS FLOW 二维层流粘性流动的多域奇异边界法
Boundary Elements and other Mesh Reduction Methods XLI Pub Date : 2018-09-11 DOI: 10.2495/BE410121
J. Mužík, R. Bulko
{"title":"MULTIDOMAIN SINGULAR BOUNDARY METHOD FOR 2D LAMINAR VISCOUS FLOW","authors":"J. Mužík, R. Bulko","doi":"10.2495/BE410121","DOIUrl":"https://doi.org/10.2495/BE410121","url":null,"abstract":"In this paper, a numerical algorithm is developed for the solution of two-dimensional isothermal laminar viscous flow. The proposed numerical method implementation, which is quadrature-free, is based on the stream-velocity formulation of Navier–Stokes equations, the method of the particular solutions and the singular boundary method (SBM). The steady stream-velocity formulation of NS equation is 4th order biharmonic non-homogeneous nonlinear equation type which is solved using the proposed method with the non-homogeneous and nonlinear terms approximated using the method of particular solutions with multiquadrics RBF function. The accuracy of the method is proven using 2D backwardfacing step and lid-driven cavity test cases.","PeriodicalId":208184,"journal":{"name":"Boundary Elements and other Mesh Reduction Methods XLI","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125601494","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}
引用次数: 2
CAUCHY BVP FOR ELASTIC HALF-PLANE POSED IN DISPLACEMENT ORIENTATIONS 位移方向弹性半平面的Cauchy BVP
Boundary Elements and other Mesh Reduction Methods XLI Pub Date : 2018-09-11 DOI: 10.2495/BE410181
A. Galybin
{"title":"CAUCHY BVP FOR ELASTIC HALF-PLANE POSED IN DISPLACEMENT ORIENTATIONS","authors":"A. Galybin","doi":"10.2495/BE410181","DOIUrl":"https://doi.org/10.2495/BE410181","url":null,"abstract":"This study presents a Cauchy-type boundary value problem of plane elasticity in which the boundary conditions are posed in terms of the orientations of the displacement vector and its normal derivative. No magnitudes of the displacements are specified. The problem is reduced to a singular integral equation by using the well-known Muskhelishvili’s theory based on the complex potentials. The solvability of the integral equation is analysed in accordance with the Gakhov’s approach, which reveals that the problem has a finite number of linearly independent solutions depending on the index of the corresponding Riemann BVP. The index is defined through the orientations of the contour displacements. More detailed analysis is performed for the case of elastic half-plane since previously it has been shown that the shape of the domain does not influence the solvability. A numerical approach for solving the problem for the arbitrary domain is outlined.","PeriodicalId":208184,"journal":{"name":"Boundary Elements and other Mesh Reduction Methods XLI","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125154259","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}
引用次数: 1
MOVING FINITE ELEMENT METHOD 运动有限元法
Boundary Elements and other Mesh Reduction Methods XLI Pub Date : 2018-09-11 DOI: 10.2495/be410111
V. Sládek, M. Repka, J. Sládek
{"title":"MOVING FINITE ELEMENT METHOD","authors":"V. Sládek, M. Repka, J. Sládek","doi":"10.2495/be410111","DOIUrl":"https://doi.org/10.2495/be410111","url":null,"abstract":"A novel discretization method is proposed and developed for numerical solution of boundary value problems governed by partial differential equations. The spatial variation of field variables is approximated by using Lagrange finite elements for interpolation without discretization of the analysed domain into the mesh of finite elements. Only the net of nodal points is used for discrete degrees of freedom on the analysed domain and its boundary. The governing equations are considered at interior nodal points while the boundary conditions at nodal points on the boundary. The finite elements are created for each nodal point properly instead of using fixed finite elements like in standard Finite Element Method. In this way, we can eliminate interfaces between elements as well as the difficulties with continuity of derivatives of field variables on such interfaces. Both the strong and weak formulations are implemented for governing equations. The reliability (accuracy and efficiency) of the new method has been verified in numerical simulations for 2D problems of heat conduction in solids with possible continuous gradation of the heat conduction coefficient.","PeriodicalId":208184,"journal":{"name":"Boundary Elements and other Mesh Reduction Methods XLI","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130129633","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}
引用次数: 7
HIGH PERFORMANCE OF LOCAL MESHFREE METHOD WITH REDUCED INTEGRATION 局部无网格法的低积分性能
Boundary Elements and other Mesh Reduction Methods XLI Pub Date : 2018-09-11 DOI: 10.2495/BE410101
W. Vélez, T. Araújo, A. Portela
{"title":"HIGH PERFORMANCE OF LOCAL MESHFREE METHOD WITH REDUCED INTEGRATION","authors":"W. Vélez, T. Araújo, A. Portela","doi":"10.2495/BE410101","DOIUrl":"https://doi.org/10.2495/BE410101","url":null,"abstract":"The Meshfree Method with reduced integration (ILMF) is derived through the work theorem of structures theory. In the formulation of the ILMF, the kinematically-admissible strain field is an arbitrary rigid-body displacement; as a consequence, the domain term is canceled out and the work theorem is reduced to regular local boundary terms only. The moving least squares (MLS) approximation of the elastic field is used to construct the trial function in this local meshfree formulation. ILMF has a high performance in problems with irregular nodal arrangement leading to accurate numerical results. This paper presents the size effect of the irregularity nodal arrangement parameter (cn) on three different nodal discretization to solve the Timoshenko cantilever beam using values fixed for the local support domain (αs) and the local quadrature domain (αq). Results obtained are optimal for 2D plane stress problems when compared with the exact solution.","PeriodicalId":208184,"journal":{"name":"Boundary Elements and other Mesh Reduction Methods XLI","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133151967","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}
引用次数: 0
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