Pub Date : 2004-09-01DOI: 10.1142/S1465876304002514
S. Devi, R. Kandasamy
The problem concerning with a nonlinear laminar boundary layer, heat and mass transfer flow of an incompressible, viscous and electrically conducting fluid past a continuously moving infinite vertical porous plate under the influence of a uniform magnetic field is considered. Consideration is given to heat source and thermal diffusion. A similarity transformation has been utilized to convert the nonlinear partial differential equations into nonlinear ordinary differential equations. The numerical solution of the problem is obtained using the Runge Kutta Gill method. Velocity, temperature and concentration fields are shown graphically to study the effects of parameters entering into the problem. Analysis of the results shows that the flow field is influenced appreciably by the presence of suction at the surface, chemical reaction and magnetic effects.
{"title":"Effects of heat and mass transfer on nonlinear MHD boundary layer flow over a vertical surface with variable stream functions","authors":"S. Devi, R. Kandasamy","doi":"10.1142/S1465876304002514","DOIUrl":"https://doi.org/10.1142/S1465876304002514","url":null,"abstract":"The problem concerning with a nonlinear laminar boundary layer, heat and mass transfer flow of an incompressible, viscous and electrically conducting fluid past a continuously moving infinite vertical porous plate under the influence of a uniform magnetic field is considered. Consideration is given to heat source and thermal diffusion. A similarity transformation has been utilized to convert the nonlinear partial differential equations into nonlinear ordinary differential equations. The numerical solution of the problem is obtained using the Runge Kutta Gill method. Velocity, temperature and concentration fields are shown graphically to study the effects of parameters entering into the problem. Analysis of the results shows that the flow field is influenced appreciably by the presence of suction at the surface, chemical reaction and magnetic effects.","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132806727","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 : 2004-06-01DOI: 10.1142/S1465876304002460
Gang Zhao, Shuhong Xu, W. Li, Xinxiong Zhu
A multiresolution curve representation, based on wavelets, provides more flexibility for curve smoothing, data compressing, and editing at different resolution levels. It requires no extra storage apart from that of the original control points. This paper presents the technique for wavelet-based multiresolution representations of C2 continuous closed cubic B-spline curves. Due to the requirement on continuity at the start/end point, closed B-spline curves need special processing when wavelets are applied to decompose or reconstruct them. The method for multiresolution editing of closed B-spline curves is also introduced. Users can edit the overall shape of a closed curve while preserving its details, or change its details without affecting its overall shape. The corresponding algorithms have been implemented and some examples are given to illustrate the editing of C2 continuous closed cubic B-spline curves at multiresolution levels.
{"title":"Wavelet-based multiresolution representation and editing of closed b-spline curves","authors":"Gang Zhao, Shuhong Xu, W. Li, Xinxiong Zhu","doi":"10.1142/S1465876304002460","DOIUrl":"https://doi.org/10.1142/S1465876304002460","url":null,"abstract":"A multiresolution curve representation, based on wavelets, provides more flexibility for curve smoothing, data compressing, and editing at different resolution levels. It requires no extra storage apart from that of the original control points. This paper presents the technique for wavelet-based multiresolution representations of C2 continuous closed cubic B-spline curves. Due to the requirement on continuity at the start/end point, closed B-spline curves need special processing when wavelets are applied to decompose or reconstruct them. The method for multiresolution editing of closed B-spline curves is also introduced. Users can edit the overall shape of a closed curve while preserving its details, or change its details without affecting its overall shape. The corresponding algorithms have been implemented and some examples are given to illustrate the editing of C2 continuous closed cubic B-spline curves at multiresolution levels.","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125579251","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 : 2004-06-01DOI: 10.1142/S1465876304002459
J. S. Butler, John J. H. Miller, G. Shishkin
In this paper we consider Prandtl's boundary layer problem for incompressible laminar flow past a plate with transfer of fluid through the surface of the plate. When the Reynolds number is large the solution of this problem has a parabolic boundary layer. In a neighbourhood of the plate the solution of the problem has an additional singularity which is caused by the absence of the compartability conditions. To solve this problem outside nearest neighbourhood of the leading edge, we construct a direct numerical method for computing approximations to the solution of the problem using a piecewise uniform mesh appropriately fitted to the parabolic boundary layer. To validate this numerical method, the model Prandtl problem with self-similar solution was examined, for which a reference solution can be computed using the Blasius problem for a nonlinear ordinary differential equation. For the model problem, suction/blowing of the flow rate density is v0(x)=-vi2-1/2Re1/2x-1/2, where the Reynolds number Re can be arbitrarily large and vi is the intensity of the mass transfer with arbitrary values in the segment [-.3,.3]. We considered the Prandtl problem in a finite rectangle excluding the leading edge of the plate for various values of Re which can be arbitrary large and for some values of vi, when meshes with different number of mesh points were used. To find reference solutions for the the velocity components and their derivatives with required accuracy, we solved the Blasius problem using a semi–analytical numerical method. By extensive numerical experiments we showed that the direct numerical method constructed in this paper allows us to approximate both the solution and its derivatives Re–uniformly for different values of vi.
{"title":"A reynolds-uniform numerical method for prandtl's boundary layer problem for flow past a plate with mass transfer","authors":"J. S. Butler, John J. H. Miller, G. Shishkin","doi":"10.1142/S1465876304002459","DOIUrl":"https://doi.org/10.1142/S1465876304002459","url":null,"abstract":"In this paper we consider Prandtl's boundary layer problem for incompressible laminar flow past a plate with transfer of fluid through the surface of the plate. When the Reynolds number is large the solution of this problem has a parabolic boundary layer. In a neighbourhood of the plate the solution of the problem has an additional singularity which is caused by the absence of the compartability conditions. To solve this problem outside nearest neighbourhood of the leading edge, we construct a direct numerical method for computing approximations to the solution of the problem using a piecewise uniform mesh appropriately fitted to the parabolic boundary layer. To validate this numerical method, the model Prandtl problem with self-similar solution was examined, for which a reference solution can be computed using the Blasius problem for a nonlinear ordinary differential equation. For the model problem, suction/blowing of the flow rate density is v0(x)=-vi2-1/2Re1/2x-1/2, where the Reynolds number Re can be arbitrarily large and vi is the intensity of the mass transfer with arbitrary values in the segment [-.3,.3]. We considered the Prandtl problem in a finite rectangle excluding the leading edge of the plate for various values of Re which can be arbitrary large and for some values of vi, when meshes with different number of mesh points were used. To find reference solutions for the the velocity components and their derivatives with required accuracy, we solved the Blasius problem using a semi–analytical numerical method. By extensive numerical experiments we showed that the direct numerical method constructed in this paper allows us to approximate both the solution and its derivatives Re–uniformly for different values of vi.","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114418951","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 : 2004-06-01DOI: 10.1142/S146587630400240X
Z. S. Liu, S. Swaddiwudhipong, C. Koh
This paper presents the dynamic response of structures under high velocity impact loading using Smooth Particle Hydrodynamics (SPH) approach. The SPH equations governing the elastic and elasto-plastic large deformation dynamic response of solid structure are derived. The proposed additional stress points are introduced in the formulation in order to mitigate the tensile instability inherent in the SPH approach. The incremental rate approach is combined with the leap-frog scheme of time integration forming solution algorithm adopted in present study. Examples on high velocity impact of the solids are presented and results from the proposed SPH approach compared with available finite element solution illustrating that the transient dynamic response under high velocity impact can be effectively solved by the proposed SPH approach.
{"title":"High velocity impact dynamic response of structures using SPH method","authors":"Z. S. Liu, S. Swaddiwudhipong, C. Koh","doi":"10.1142/S146587630400240X","DOIUrl":"https://doi.org/10.1142/S146587630400240X","url":null,"abstract":"This paper presents the dynamic response of structures under high velocity impact loading using Smooth Particle Hydrodynamics (SPH) approach. The SPH equations governing the elastic and elasto-plastic large deformation dynamic response of solid structure are derived. The proposed additional stress points are introduced in the formulation in order to mitigate the tensile instability inherent in the SPH approach. The incremental rate approach is combined with the leap-frog scheme of time integration forming solution algorithm adopted in present study. Examples on high velocity impact of the solids are presented and results from the proposed SPH approach compared with available finite element solution illustrating that the transient dynamic response under high velocity impact can be effectively solved by the proposed SPH approach.","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117325698","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 : 2004-06-01DOI: 10.1142/S1465876304002496
D. Hou, Y. Wang, M. Yin, Xiaoyan Ma
In this paper, the Wilson-θ integration method is thoroughly studied. By using Wilson-θ integration method and single particle shear model, the dynamic response of brick-concrete structure is given. The simulation results of dynamic response of brick-concrete structure under sine wave load are compared with analytical results. From this study, it demonstrated that the present approach of combining Wilson-θ integration method and single particle shear model method is a useful technique in the dynamic and vibration analysis of brick-concrete structure. Furthermore, by optimizing and selecting suitable parameters of Wilson-θ method, this approach also can be used to analyze the seismic dynamic response analysis of the brick-concrete structure.
{"title":"Dynamic analysis of structure by using wilson-Theta method","authors":"D. Hou, Y. Wang, M. Yin, Xiaoyan Ma","doi":"10.1142/S1465876304002496","DOIUrl":"https://doi.org/10.1142/S1465876304002496","url":null,"abstract":"In this paper, the Wilson-θ integration method is thoroughly studied. By using Wilson-θ integration method and single particle shear model, the dynamic response of brick-concrete structure is given. The simulation results of dynamic response of brick-concrete structure under sine wave load are compared with analytical results. From this study, it demonstrated that the present approach of combining Wilson-θ integration method and single particle shear model method is a useful technique in the dynamic and vibration analysis of brick-concrete structure. Furthermore, by optimizing and selecting suitable parameters of Wilson-θ method, this approach also can be used to analyze the seismic dynamic response analysis of the brick-concrete structure.","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125690471","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 : 2004-06-01DOI: 10.1142/S1465876304002393
A. Bedford, P. Zeephongsekul
The Multi Priority Dual Queue (MPDQ) is a new scheduling regime shown to reduce congestion for multi-class traffic over conventional scheduling disciplines in isolation. As the MPDQ improves traffic congestion, most notably in communication systems, it is not necessary to include it at every node, or service centre, within a network. To gain insight into the advantages of a mixed MPDQ / First In First Out network with prioritised traffic, simulations are performed with and without a dual queue and various Quality of Service (QoS) criteria are obtained. Queueing networks containing differentiated traffic, also known as multi-class networks, are complicated to solve analytically using existing queueing theory techniques. We discuss the complications of exact solutions and describe how we used simulation to obtain performance statistics. We also look at high-class traffic under different offered loads, and provide a comparison of the delay characteristics. These findings provide communication service providers valuable information in determining the improvement in QoS to differentiated networks with the MPDQ. They also highlight the importance of simulation as a tool of evaluation of networks, and the best MPDQ network scenario.
多优先级双队列(MPDQ)是一种新的调度机制，可以在隔离的情况下减少多类流量的拥塞。由于MPDQ可以改善交通拥堵，特别是在通信系统中，因此没有必要在网络中的每个节点或服务中心都包含MPDQ。为了深入了解具有优先级流量的混合MPDQ / First In First Out网络的优势，在使用和不使用双队列的情况下进行了模拟，并获得了各种服务质量(QoS)标准。包含差异化流量的排队网络又称多类网络，使用现有的排队理论技术很难解析求解。我们讨论了精确解的复杂性，并描述了我们如何使用模拟来获得性能统计数据。我们还研究了不同负载下的高级流量，并提供了延迟特性的比较。这些发现为通信服务提供商提供了有价值的信息，以确定使用MPDQ对差异化网络的QoS改进。他们还强调了模拟作为网络评估工具的重要性，以及最佳MPDQ网络场景。
{"title":"Quality of service in networks with prioritised traffic involving the multi-priority dual queue","authors":"A. Bedford, P. Zeephongsekul","doi":"10.1142/S1465876304002393","DOIUrl":"https://doi.org/10.1142/S1465876304002393","url":null,"abstract":"The Multi Priority Dual Queue (MPDQ) is a new scheduling regime shown to reduce congestion for multi-class traffic over conventional scheduling disciplines in isolation. As the MPDQ improves traffic congestion, most notably in communication systems, it is not necessary to include it at every node, or service centre, within a network. To gain insight into the advantages of a mixed MPDQ / First In First Out network with prioritised traffic, simulations are performed with and without a dual queue and various Quality of Service (QoS) criteria are obtained. Queueing networks containing differentiated traffic, also known as multi-class networks, are complicated to solve analytically using existing queueing theory techniques. We discuss the complications of exact solutions and describe how we used simulation to obtain performance statistics. We also look at high-class traffic under different offered loads, and provide a comparison of the delay characteristics. These findings provide communication service providers valuable information in determining the improvement in QoS to differentiated networks with the MPDQ. They also highlight the importance of simulation as a tool of evaluation of networks, and the best MPDQ network scenario.","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130873525","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 : 2004-06-01DOI: 10.1142/S1465876304002472
B. H. Hu, J. V. Kreij
Equal channel angular extrusion (ECAE) is a promising technique for producing ultra-fine grained (UFG) or nanostructured materials based on the principle of simple shearing. Through analysis, it is shown that only the geometrical factor Φ, namely, the half-angle of the two intersecting channels, and the number of ECAE passes, N, affect the effective strain. The equivalent linear reduction ratio, r0/r1, is derived to describe the size reduction effect of an object such as a grain. The most effective intersecting angle (2Φ) is 90°. Compared to traditional area reduction extrusion, the deformation effect is equivalent to an area reduction ratio of 1 million or a linear reduction ratio of 1022 after 12 passes of ECAE. Magnesium AZ31B, aluminium 6061 and commercially-pure Titanium were used for the study. Three types of die designs for ECAE of each alloy were proposed and numerically analysed. The effective strain, von Mises stress, equivalent area reduction ratio and equivalent linear reduction ratio were compared for the three types of die designs based on the simulation results using ANSYS/LS-DYNA. The parameter Nμ→nm, namely, the number of passes of ECAE required to reduce 100μ structures into 100nm structures, was calculated for each design. A grain size of 100μ can be deformed into a nanostructure through as few as 12-17 passes of ECAE.
{"title":"Forming of nanostructured materials -- numerical analysis in equal channel angular extrusion (ecae) of magnesium, aluminium and titanium alloys","authors":"B. H. Hu, J. V. Kreij","doi":"10.1142/S1465876304002472","DOIUrl":"https://doi.org/10.1142/S1465876304002472","url":null,"abstract":"Equal channel angular extrusion (ECAE) is a promising technique for producing ultra-fine grained (UFG) or nanostructured materials based on the principle of simple shearing. Through analysis, it is shown that only the geometrical factor Φ, namely, the half-angle of the two intersecting channels, and the number of ECAE passes, N, affect the effective strain. The equivalent linear reduction ratio, r0/r1, is derived to describe the size reduction effect of an object such as a grain. The most effective intersecting angle (2Φ) is 90°. Compared to traditional area reduction extrusion, the deformation effect is equivalent to an area reduction ratio of 1 million or a linear reduction ratio of 1022 after 12 passes of ECAE. Magnesium AZ31B, aluminium 6061 and commercially-pure Titanium were used for the study. Three types of die designs for ECAE of each alloy were proposed and numerically analysed. The effective strain, von Mises stress, equivalent area reduction ratio and equivalent linear reduction ratio were compared for the three types of die designs based on the simulation results using ANSYS/LS-DYNA. The parameter Nμ→nm, namely, the number of passes of ECAE required to reduce 100μ structures into 100nm structures, was calculated for each design. A grain size of 100μ can be deformed into a nanostructure through as few as 12-17 passes of ECAE.","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115088144","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 : 2004-06-01DOI: 10.1142/S1465876304002368
Yaojiang Zhang, Fang Wu, E. Li
Parallel fast multipole method is developed for radar cross section (RCS) computation of large targets on multiple processor systems. The sparse matrices in fast multipole method (FMM) are calculated and stored in distributed processors and message passing interface (MPI) is used to perform the matrix-vector product in parallel iterative solvor. The accuracy of the code is verified by comparison with the results of benchmark targets. Either the computational complexity or speed-up ratio of parallel FMM and MoM are compared.
{"title":"Parallel fast multipole method for large-scale computation of electromagnetic scattering","authors":"Yaojiang Zhang, Fang Wu, E. Li","doi":"10.1142/S1465876304002368","DOIUrl":"https://doi.org/10.1142/S1465876304002368","url":null,"abstract":"Parallel fast multipole method is developed for radar cross section (RCS) computation of large targets on multiple processor systems. The sparse matrices in fast multipole method (FMM) are calculated and stored in distributed processors and message passing interface (MPI) is used to perform the matrix-vector product in parallel iterative solvor. The accuracy of the code is verified by comparison with the results of benchmark targets. Either the computational complexity or speed-up ratio of parallel FMM and MoM are compared.","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126200781","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 : 2004-03-01DOI: 10.1142/S1465876304002290
A. Thakker, T. Dhanasekaran, T. Setoguchi, M. Takao
This paper depicts numerical analysis on impulse turbine of 0.6 m diameter with fixed guide vanes for wave energy conversion. From the earlier investigations, it is found that one of the reasons for the mismatch between computed and experimental data is due to neglecting tip clearance effect. Hence, a three-dimensional (3-D) model with tip clearance has been generated with structured grids to predict the internal flow and performance of the turbine. As a result, it is found that the comparison between computed and experimental data is good. Computation has been carried out for various tip clearances to understand the effect of tip clearance leakage flow on such unconventional turbine. The change in flow behavior in the turbine blade passage due to tip clearance flow has been studied by comparing the results with without tip clearance, which is impossible by experiments. It is predicted that the efficiency of the turbine has been reduced about 4%, due to tip clearance flow at higher flow coefficients.
{"title":"3-D computational fluid dynamic analysis of effect of tip clearance on the performance of impulse turbine for wave energy conversion","authors":"A. Thakker, T. Dhanasekaran, T. Setoguchi, M. Takao","doi":"10.1142/S1465876304002290","DOIUrl":"https://doi.org/10.1142/S1465876304002290","url":null,"abstract":"This paper depicts numerical analysis on impulse turbine of 0.6 m diameter with fixed guide vanes for wave energy conversion. From the earlier investigations, it is found that one of the reasons for the mismatch between computed and experimental data is due to neglecting tip clearance effect. Hence, a three-dimensional (3-D) model with tip clearance has been generated with structured grids to predict the internal flow and performance of the turbine. As a result, it is found that the comparison between computed and experimental data is good. Computation has been carried out for various tip clearances to understand the effect of tip clearance leakage flow on such unconventional turbine. The change in flow behavior in the turbine blade passage due to tip clearance flow has been studied by comparing the results with without tip clearance, which is impossible by experiments. It is predicted that the efficiency of the turbine has been reduced about 4%, due to tip clearance flow at higher flow coefficients.","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130340267","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 : 2004-03-01DOI: 10.1142/S1465876304002307
K. Surana, A. Ahmadi, J. Reddy
In the companion papers [1,2], authors introduced the concepts of k-version of finite element method and k, hk, pk, hkp-processes of the finite element method for boundary value problems described by self-adjoint and non-self adjoint operators using Ĥk,p(Ω) spaces with specific details including numerical studies for weak forms and least square processes. It was demonstrated that a variationally consistent (VC) weak form is possible when the differential operator is self-adjoint, however, in case of non-self-adjoint operators the weak forms are variationally inconsistent (VIC) which lead to degenerate computational processes that can produce spurious oscillations in the computed solutions. In this paper we demonstrate that when the boundary value problems are described by non-linear differential operators, Galerkin processes and weak forms can never be variationally consistent and hence result in degenerate computational processes and suffer from same problems as in the case of non-self-adjoint operators ...
{"title":"The K-Version of finite element method for nonlinear operators in bvp","authors":"K. Surana, A. Ahmadi, J. Reddy","doi":"10.1142/S1465876304002307","DOIUrl":"https://doi.org/10.1142/S1465876304002307","url":null,"abstract":"In the companion papers [1,2], authors introduced the concepts of k-version of finite element method and k, hk, pk, hkp-processes of the finite element method for boundary value problems described by self-adjoint and non-self adjoint operators using Ĥk,p(Ω) spaces with specific details including numerical studies for weak forms and least square processes. It was demonstrated that a variationally consistent (VC) weak form is possible when the differential operator is self-adjoint, however, in case of non-self-adjoint operators the weak forms are variationally inconsistent (VIC) which lead to degenerate computational processes that can produce spurious oscillations in the computed solutions. In this paper we demonstrate that when the boundary value problems are described by non-linear differential operators, Galerkin processes and weak forms can never be variationally consistent and hence result in degenerate computational processes and suffer from same problems as in the case of non-self-adjoint operators ...","PeriodicalId":331001,"journal":{"name":"Int. J. Comput. Eng. Sci.","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132824555","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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