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Formal analysis of a systolic system for finite element stiffness matrices

Rami Melhem
1985 Journal of computer and system sciences (Print)  
The model is then applied successfully to a complex system that we suggest for pipelining the computation of the elemental stiffness matrices for finite element analysis. t(>  ...  An abstract systolic model, suggested in a previous paper, is extended to include computational cells with memories and multiplexing capabilities, and to specify formally the pipelining of computations  ...  The extended model is applied to the description and verification of a pipelined systolic system designed for the computation of finite element stiffness matrices.  ... 
doi:10.1016/0022-0000(85)90062-5 fatcat:qin2jv3uo5gxnjhrqoevdzrtse

Page 414 of Mathematical Reviews Vol. , Issue 87a [page]

1987 Mathematical Reviews  
compiler capability against the VP architecture.” 87a:65206 Melhem, Rami (1-PITT-C) 87a:65207 Formal analysis of a systolic system for finite element stiffness matrices.  ...  The model is then applied successfully to a complex system that we suggest for pipelining the computation of the elemental stiffness matrices for finite element analysis.” Reid, J. K.; Wilson, A.  ... 

Parallel solution of linear systems with striped sparse matrices

Rami Melhem
1988 Parallel Computing  
Different stripe structures for the class of sparse matrices generated in Finite Element Analysis are examined in a separate paper. Keywords.  ...  The network that we introduce here is especially suitable for the type of matrices that arise in finite element analysis.  ...  Acknowledgment I would like to thank Werner R_heinboldt for his many comments that helped in the formalization of the concept of striped matrices.  ... 
doi:10.1016/0167-8191(88)90082-8 fatcat:dl6ousrcuzdlxcw62pjh2jyu2u

Elastically adaptive deformable models

D.N. Metaxas, I.A. Kakadiaris
2002 IEEE Transactions on Pattern Analysis and Machine Intelligence  
We present a novel technique for the automatic adaptation of a deformable model's elastic parameters within a Kalman filter framework for shape estimation applications.  ...  We present results demonstrating the effectiveness of our method for both two-dimensional and three-dimensional data.  ...  Assuming a thin-plate deformation energy, this results in matrices of size 12 Â 12 for the element by element approach and of size 16; 212 Â 16; 212 for the whole system.  ... 
doi:10.1109/tpami.2002.1039203 fatcat:gxtctjvr3rfirnmd6uxrfvmbau

A Study of Data Interlock in Computational Networks for Sparse Matrix Multiplication

Rami G. Melhem
1987 IEEE transactions on computers  
For this, tbe class of pseudo systolic networks is introduced as a hybrid class between systolic and self-timed network!.  ...  The weU known CODCept of computation fronts is also generalized to include irregular flow of data, and a technique based on the propagation of such computation fronts is suggested for the esrimatiOll of  ...  MV 2 for many specific sparse matrices that result from the application of the finite element analysis to boundary value problems.  ... 
doi:10.1109/tc.1987.5009541 fatcat:roknu3yz5rgsvgb6kva2ffodt4

Fluid-Structure Interaction Analyses of Biological Systems Using Smoothed-Particle Hydrodynamics

Milan Toma, Rosalyn Chan-Akeley, Jonathan Arias, Gregory D Kurgansky, Wenbin Mao
2021 Biology  
is necessary to achieve a quantitative understanding of their structure and function in both health and disease.  ...  Hence, we contend that the use of fluid-structure interaction models in computational studies of biological systems is practical, if not necessary.  ...  Strongly coupled ALE methods yield large ill-conditioned system matrices, i.e., system matrices that are prone to large numerical errors with each system-solving iteration, within each nonlinear iteration  ... 
doi:10.3390/biology10030185 pmid:33801566 pmcid:PMC8001855 fatcat:6a2uzasulrdgrbuyt6ru3hhvr4

Parallel processing techniques for FE analysis: System solution

Dimitris Zois
1988 Computers & structures  
for Finite Element (FE) analysis.  ...  The ASMGJ method has been implemented as the system solution procedure in PARFES, a Parallel Finite Element System, which can be used on message-passing MIMD parallel computers for the linear static analysis  ...  This method is used in a Parallel Finite Element System (PARFES) for the solution of the linear system of equations that results during the static analysis of structures by the Finite Element Method.  ... 
doi:10.1016/0045-7949(88)90047-8 fatcat:waqugovd5zc6tnz4vvt6kzufny

Subject index volumes 1–200

1999 Theoretical Computer Science  
neural networks, 2542 divergence, 2624 domains, 73 finite element analysis, 3603 environment, 3603 finite elementary codes, 2109 groups of -, 2109 finite elements, 2588 equational specification  ...  -, 592 formal correctness argument for bitonic sorting, 898 of a parser, 3804 formal criteria for completeness, 1374 formal deductibility, 1628 formal definition of dependencies, 101 the EML language  ... 
doi:10.1016/s0304-3975(98)00319-3 fatcat:s22ud3iiqjht7lfbtc3zctk7zm

Efficient estimation of personalized biventricular mechanical function employing gradient-based optimization

Henrik Finsberg, Ce Xi, Ju Le Tan, Liang Zhong, Martin Genet, Joakim Sundnes, Lik Chuan Lee, Samuel T. Wall
2018 International Journal for Numerical Methods in Biomedical Engineering  
Computations were performed on the Abel supercomputing cluster at the University of Oslo via a Notur project.  ...  Acknowledgments This study was funded by Research Council of Norway: Center for Biomedical Computing at Simula Research Laboratory and Center for Cardiological Innovation at Oslo University Hospital.  ...  and finite element modeling.  ... 
doi:10.1002/cnm.2982 pmid:29521015 pmcid:PMC6043386 fatcat:z7ldfeebzfgkfazjfht3rwpdre

Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model [article]

Giulia Bertaglia, Valerio Caleffi, Lorenzo Pareschi, Alessandro Valiani
2020 arXiv   pre-print
accuracy of the IMEX finite volume scheme chosen to solve the mathematical model.  ...  The chosen uncertain parameters are modeled as random Gaussian-distributed variables, making stochastic the system of governing equations.  ...  Acknowledgements This work was partially supported by MIUR (Ministero dell'Istruzione, dell'Università e della Ricerca) PRIN 2017, project "Innovative numerical methods for evolutionary partial differential  ... 
arXiv:2007.01907v2 fatcat:mcicqy5uajcirk45izih6dm47y

Predictions of aneurysm formation in distensible tubes: Part A—Theoretical background to alternative approaches

Andrea Bucchi, Grant E. Hearn
2013 International Journal of Mechanical Sciences  
Parents will recognise the existence of critical pressure when endeavouring to inflate a party balloon. Another example of aneurysm is the thoracic aortic aneurysm corresponding to  ...  Aneurysm inception will take place at a location along the tube when a critical pressure, relative to tube wall thickness at that location, is reached.  ...  Finite element solution The finite element analysis of an aneurysm has been formulated as a non-linear static problem.  ... 
doi:10.1016/j.ijmecsci.2013.02.005 fatcat:hlpkskep2vaspeerqs6txvc5yi

Reviews and Descriptions of Tables and Books

1986 Mathematics of Computation  
Morton, "Finite element methods for non-self-adjoint elliptic and for hyperbolic problems: Optimal approximations and recovery techniques"; P. A. Raviart, "Mixed finite element methods"; A. R.  ...  Topics receiving special attention are data structures for storing and manipulating sparse matrices, pivotal strategies, the use of the multigrid principle, parallel algorithms and systolic networks.  ... 
doi:10.1090/s0025-5718-86-99764-4 fatcat:3eff2a2m5zcsjiq5ucidejzc5i

Alya: Computational Solid Mechanics for Supercomputers

E. Casoni, A. Jérusalem, C. Samaniego, B. Eguzkitza, P. Lafortune, D. D. Tjahjanto, X. Sáez, G. Houzeaux, M. Vázquez
2014 Archives of Computational Methods in Engineering  
Only in a few cases, both approaches have been followed simultaneously. In this article, a solid mechanics simulation strategy for parallel supercomputers based on a hybrid approach is presented.  ...  Hybrid parallelization is specially well suited for the current trend of supercomputers, namely large clusters of multicores.  ...  [48] for more details). As a second step, the Workers build the local elements matrices and local right-hand sides, and are in charge of solving the resulting system solution in parallel.  ... 
doi:10.1007/s11831-014-9126-8 fatcat:ee43vkfeizgsha4tzo2kbizmqe

Validation of a 3D-0D closed-loop model of the heart and circulation – Modeling the experimental assessment of diastolic and systolic ventricular properties [article]

Christoph M. Augustin, Matthias A. F. Gsell, Elias Karabelas, Erik Willemen, Frits Prinzen, Joost Lumens, Edward J. Vigmond, Gernot Plank
2020 arXiv   pre-print
conditions and contractility, induced by protocols for assessing of systolic and diastolic ventricular properties.  ...  Computer models of cardiac electro-mechanics (EM) and cardiovascular hemodynamics show promise as an effective means for the quantitative analysis of clinical data and, potentially, provide capabilities  ...  Finite Element Formulation Appendix B.1.  ... 
arXiv:2009.08802v2 fatcat:c576fsq2lbcmhdz25ollxmay2e

An oscillation-free fully partitioned scheme for the numerical modeling of cardiac active mechanics [article]

Francesco Regazzoni, Alfio Quarteroni
2020 arXiv   pre-print
For this reason, the coupled model is commonly solved as a unique system using Newton type algorithms, at the price, however, of high computational costs.  ...  Our new method is derived moving from a physics-based analysis on the microscale energetics of the force generation dynamics.  ...  A. Quarteroni).  ... 
arXiv:2007.15714v1 fatcat:sfij4ktfkjdsdifkvbsjkamir4
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