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Artigos de revistas sobre o tema "Formulation Inverse"

Autor: Grafiati

Publicado: 31 de agosto de 2024

Última modificação: 31 de julho de 2025

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1

Faroughi, S., and H. Ahmadian. "Shape functions associated with inverse element formulations." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 2 (2010): 304–11. http://dx.doi.org/10.1243/09544062jmes2350.

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Super-convergent element formulations in local co-ordinates are obtained using inverse strategies. In the inverse approach discretization errors of the element formulation are minimized leading to super-convergent solutions. In the development of the inverse element model, no shape functions are introduced and therefore the task of element transformation from local to global co-ordinates system remains a challenge. In this paper, a procedure is proposed to produce shape functions associated with the inverse element formulations via hierarchical polynomials. A membrane element formulation is de

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2

Vitoshkin, H., and A. Yu Gelfgat. "On Direct and Semi-Direct Inverse of Stokes, Helmholtz and Laplacian Operators in View of Time-Stepper-Based Newton and Arnoldi Solvers in Incompressible CFD." Communications in Computational Physics 14, no. 4 (2013): 1103–19. http://dx.doi.org/10.4208/cicp.300412.010213a.

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AbstractFactorization of the incompressible Stokes operator linking pressure and velocity is revisited. The main purpose is to use the inverse of the Stokes operator with a large time step as a preconditioner for Newton and Arnoldi iterations applied to computation of steady three-dimensional flows and study of their stability. It is shown that the Stokes operator can be inversed within an acceptable computational effort. This inverse includes fast direct inverses of several Helmholtz operators and iterative inverse of the pressure matrix. It is shown, additionally, that fast direct solvers ca

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3

Guritman, Sugi, Jaharuddin, Teduh Wulandari Mas'oed, and Siswandi. "A FAST COMPUTATION FOR EIGENVALUES OF CIRCULANT MATRICES WITH ARITHMETIC SEQUENCE." MILANG Journal of Mathematics and Its Applications 19, no. 1 (2023): 69–80. http://dx.doi.org/10.29244/milang.19.1.69-80.

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In this article, we derive simple formulations of the eigenvalues, determinants, and also the inverse of circulant matrices whose entries in the first row form an arithmetic sequence. The formulation of the determinant and inverse is based on elementary row and column operations transforming the matrix to an equivalent diagonal matrix so that the formulation is obtained easily. Meanwhile, for the eigenvalues formulation, we simplify the known result of formulation for the general circulant matrices by exploiting the properties of the cyclic group induced by the set of all roots of as the set o

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4

Kono, Masaru, and Hideo Uchimura. "Inverse Problem of Paleomagnetic Reconstruction: Formulation." Journal of geomagnetism and geoelectricity 46, no. 4 (1994): 311–28. http://dx.doi.org/10.5636/jgg.46.311.

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Zeng, Xiaogang, and Sunil Saigal. "An Inverse Formulation With Boundary Elements." Journal of Applied Mechanics 59, no. 4 (1992): 835–40. http://dx.doi.org/10.1115/1.2894050.

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A mathematical formulation for the solution of inverse problems pertaining to the identification of flaw shapes and the reconstruction of boundary conditions in a continua is described. Integral relationships are derived for the variation of field variables with respect to variation in flaw shape using Taylor series expansions. Similar relationships for the variation of boundary conditions with variation inflow shape are also obtained. These variations allow the development of an iterative framework to advance an initially assumed flaw shape towards its actual configuration. The iterations are

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6

Yagle, Andrew E. "Multidimensional inverse scattering: An orthogonalization formulation." Journal of Mathematical Physics 28, no. 7 (1987): 1481–91. http://dx.doi.org/10.1063/1.527503.

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7

Li, Jiwei, Lingyun Qiu, Zhongjing Wang, and Hui Yu. "Flow Measurement: An Inverse Problem Formulation." SIAM Journal on Applied Mathematics 83, no. 4 (2023): 1654–76. http://dx.doi.org/10.1137/22m1530720.

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8

CYRIL, X., J. ANGELES, and A. MISRA. "EFFICIENT INVERSE DYNAMICS OF GENERAL N-AXIS ROBOTIC MANIPULATORS." Transactions of the Canadian Society for Mechanical Engineering 13, no. 4 (1989): 91–95. http://dx.doi.org/10.1139/tcsme-1989-0015.

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Presented in this paper is an efficient scheme to solve the inverse dynamics problem associated with robotic manipulators of arbitrary architecture, using the recursive Newton-Euler formulation. The scheme’s efficiency derives from the use of suitable coordinate frame to represent the vector quantities and the suitable manipulation of the vector operations. The computational complexities of this and other general dynamical formulations published so far are compared. In conclusion, it is observed that not only the dynamical formulation methodology, but also the judicious representation and mani

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9

Duplij, Steven. "Higher Regularity, Inverse and Polyadic Semigroups." Universe 7, no. 10 (2021): 379. http://dx.doi.org/10.3390/universe7100379.

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We generalize the regularity concept for semigroups in two ways simultaneously: to higher regularity and to higher arity. We show that the one-relational and multi-relational formulations of higher regularity do not coincide, and each element has several inverses. The higher idempotents are introduced, and their commutation leads to unique inverses in the multi-relational formulation, and then further to the higher inverse semigroups. For polyadic semigroups we introduce several types of higher regularity which satisfy the arity invariance principle as introduced: the expressions should not de

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10

Guritman, Sugi, Jaharuddin, Teduh Wulandari, and Siswandi. "An Efficient Method for Computing the Inverse and Eigenvalues of Circulant Matrices with Lucas Numbers." Journal of Advances in Mathematics and Computer Science 39, no. 4 (2024): 10–23. http://dx.doi.org/10.9734/jamcs/2024/v39i41879.

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In this article, the inverse including the determinant, and the eigenvalues of circulant matrices with entry Lucas numbers are formulated explicitly in a simple way so that their computations can be constructed efficiently. The formulation method of the determinant and inverse is simply applying the theory of elementary row or column operations and can be unified in one theorem. Meanwhile, for the eigenvalues formulation, the recently known formulation in the case of general circulant matrices is simplified by observing the specialty of the Lucas sequence and applying cyclic group properties o

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11

Peidro, Adrian, and Edward J. Haug. "Obstacle Avoidance in Operational Configuration Space Kinematic Control of Redundant Serial Manipulators." Machines 12, no. 1 (2023): 10. http://dx.doi.org/10.3390/machines12010010.

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Kinematic control of redundant serial manipulators has been carried out for the past half century based primarily on a generalized inverse velocity formulation that is known to have mathematical deficiencies. A recently developed inverse kinematic configuration mapping is employed in an operational configuration space differentiable manifold formulation for redundant-manipulator kinematic control with obstacle avoidance. This formulation is shown to resolve deficiencies in the generalized inverse velocity formulation, especially for high-degree-of-redundancy manipulators. Tracking a specified

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12

Khan, Waseem A., Venkat N. Krovi, Subir K. Saha, and Jorge Angeles. "Recursive Kinematics and Inverse Dynamics for a Planar 3R Parallel Manipulator." Journal of Dynamic Systems, Measurement, and Control 127, no. 4 (2004): 529–36. http://dx.doi.org/10.1115/1.2098890.

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We focus on the development of modular and recursive formulations for the inverse dynamics of parallel architecture manipulators in this paper. The modular formulation of mathematical models is attractive especially when existing sub-models may be assembled to create different topologies, e.g., cooperative robotic systems. Recursive algorithms are desirable from the viewpoint of simplicity and uniformity of computation. However, the prominent features of parallel architecture manipulators-the multiple closed kinematic loops, varying locations of actuation together with mixtures of active and p

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13

Germain, Sandrine, and Paul Steinmann. "Towards Inverse Form Finding Methods for a Deep Drawing Steel DC04." Key Engineering Materials 504-506 (February 2012): 619–24. http://dx.doi.org/10.4028/www.scientific.net/kem.504-506.619.

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A challenge in the design of functional parts in metal forming processes is the determination of the initial, undeformed shape such that under a given load a part will obtain the desired deformed shape. An inverse mechanical or a shape optimization formulation might be used to solve this problem, which is inverse to the standard kinematic analysis in which the undeformed shape is known and the deformed shape unknown. The objective of the inverse mechanical formulation aims in the inverse deformation map that determines the (undeformed) material configuration, where the spatial (deformed) confi

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14

Cotter, C. J., D. D. Holm, and P. E. Hydon. "Multisymplectic formulation of fluid dynamics using the inverse map." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2086 (2007): 2671–87. http://dx.doi.org/10.1098/rspa.2007.1892.

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We construct multisymplectic formulations of fluid dynamics using the inverse of the Lagrangian path map. This inverse map, the ‘back-to-labels’ map, gives the initial Lagrangian label of the fluid particle that currently occupies each Eulerian position. Explicitly enforcing the condition that the fluid particles carry their labels with the flow in Hamilton's principle leads to our multisymplectic formulation. We use the multisymplectic one-form to obtain conservation laws for energy, momentum and an infinite set of conservation laws arising from the particle relabelling symmetry and leading t

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15

Vasco, D. W. "An algebraic formulation of geophysical inverse problems." Geophysical Journal International 142, no. 3 (2000): 970–90. http://dx.doi.org/10.1046/j.1365-246x.2000.00188.x.

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16

Manurung, Andrew Bony Nabasar, Siti Nurrohmah, and Ida Fithriani. "Formulation of Kumaraswamy Generalized Inverse Lomax Distribution." Proceedings of The International Conference on Data Science and Official Statistics 2023, no. 1 (2023): 737–44. http://dx.doi.org/10.34123/icdsos.v2023i1.416.

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Lifetime data is a type of data that consists of a waiting time until an event occurs and modelled by numerous distributions. One of its characteristics that is interesting to be studied is the hazard function due to the flexibility that it has compared to other characteristics of distribution. Inverse Lomax (IL) distribution is one of the distributions considered to have advantages in modelling hazard shape and extended in several ways to address the problem of non-monotone hazard which is often encountered in real life data. However, it needs to be extended to another family of distribution

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17

Nowack, Robert L. "Tomography and the Herglotz-Wiechert inverse formulation." Pure and Applied Geophysics PAGEOPH 133, no. 2 (1990): 305–15. http://dx.doi.org/10.1007/bf00877165.

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18

CHUNG, B. K., K. G. JOO, and SOONKEON NAM. "HAMILTONIAN FORMULATION OF SL(3) Ur-KdV EQUATION." Modern Physics Letters A 08, no. 31 (1993): 2927–36. http://dx.doi.org/10.1142/s0217732393003342.

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We give a unified view of the relation between the SL(2) KdV, the mKdV, and the Ur-KdV equations through the Fréchet derivatives and their inverses. For this we introduce a new procedure of obtaining the Ur-KdV equation, where we require that it has no nonlocal operators. We extend this method to the SL(3) KdV equation, i.e. Boussinesq (Bsq) equation and obtain the Hamiltonian structure of Ur-Bsq .equation in a simple form. In particular, we explicitly construct the Hamiltonian operator of the Ur-Bsq system which defines the Poisson structure of the system, through the Fréchet derivative and i

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19

Prasanna, Parvathy, Jeevamma Jacob, and Mattida Ponnadiyil Nandakumar. "Inverse optimal control of a class of affine nonlinear systems." Transactions of the Institute of Measurement and Control 41, no. 9 (2019): 2637–50. http://dx.doi.org/10.1177/0142331218806338.

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This paper proposes a systematic formulation of inverse optimal control (IOC) law based on a rather straightforward reduction of control Lyapunov function (CLF), applicable to a class of second-order nonlinear systems affine in the input. This method exploits the additional design degrees of freedom resulting from the non-uniqueness of the state dependent coefficient (SDC) formulation, which is widely used in pseudo-linear control techniques. The applicability of the proposed approach necessitates an apparently effortless SDC formulation satisfying an SDC matrix criterion in terms of the struc

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20

Liu, Hui, and Li Wen Guan. "Dynamic Modeling of a High-Dynamic Flight Simulator." Applied Mechanics and Materials 687-691 (November 2014): 610–15. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.610.

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High-dynamic flight simulator (HDFS), using a centrifuge as its motion base, is a machine utilized for simulating the acceleration environment associated with modern advanced tactical aircrafts. This paper models the HDFS as a robotic system with three rotational degrees of freedom. The forward and inverse dynamic formulations are carried out by the recursive Newton-Euler approach. The driving torques acting on the joints are determined on the basis of the inverse dynamic formulation. The formulation has been implemented in two numerical simulation examples, which are used for calculating the

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21

Masson, Philippe Le, and Helcio R. B. Orlande. "Thermophysical characterization of materials at high temperatures by solving inverse problems within the Bayesian framework of statistics." High Temperatures-High Pressures 50, no. 2 (2021): 77–104. http://dx.doi.org/10.32908/hthp.v50.973.

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Inverse heat transfer problems deal with the estimation of parameters or functions appearing in the mathematical formulation of problems in thermal sciences, by utilizing measurements of dependent variables of the formulation. Inverse problems are extremely useful for the indirect measurement of thermophysical properties, in particular for challenging situations involving high temperatures, where coupled multi-physics phenomena and nonlinearities must be taken into account. In this paper, basic inverse problem concepts are reviewed. Solution techniques within the Bayesian framework of statisti

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22

Igarashi, Gaku, and Yoshihide Kakizawa. "Re-formulation of inverse Gaussian, reciprocal inverse Gaussian, and Birnbaum–Saunders kernel estimators." Statistics & Probability Letters 84 (January 2014): 235–46. http://dx.doi.org/10.1016/j.spl.2013.10.013.

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23

Frankel, J. I., H. C. Chen, and M. Keyhani. "New Step Response Formulation for Inverse Heat Conduction." Journal of Thermophysics and Heat Transfer 31, no. 4 (2017): 989–96. http://dx.doi.org/10.2514/1.t5067.

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24

UCHODA, Kazuo, and Kazuonori HASE. "Simple Formulation for Inverse Dynamics Satisfying Kinetic Consistency." Proceedings of the Symposium on sports and human dynamics 2020 (2020): A—7–3. http://dx.doi.org/10.1299/jsmeshd.2020.a-7-3.

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25

Leal, Allan M. M., and William R. Smith. "Inverse chemical equilibrium problems: General formulation and algorithm." Chemical Engineering Science 252 (April 2022): 117162. http://dx.doi.org/10.1016/j.ces.2021.117162.

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26

Chaux, Caroline, Patrick L. Combettes, Jean-Christophe Pesquet, and Valérie R. Wajs. "A variational formulation for frame-based inverse problems." Inverse Problems 23, no. 4 (2007): 1495–518. http://dx.doi.org/10.1088/0266-5611/23/4/008.

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Puel, G., and D. Aubry. "Two-time-scale inverse problems: formulation and solution." Journal of Physics: Conference Series 657 (November 16, 2015): 012005. http://dx.doi.org/10.1088/1742-6596/657/1/012005.

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28

Petrakova, Viktoriya. "Inverse Coefficient Problem for Epidemiological Mean-Field Formulation." Mathematics 12, no. 22 (2024): 3581. http://dx.doi.org/10.3390/math12223581.

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The paper proposes an approach to solving the inverse epidemiological problem, written in terms of the “mean-field” theory. Finding the coefficients of an epidemiological SIR mean-field model is reduced to solving an optimization problem, for the solution of which only zero-order methods can be used. An algorithm for the solution of the inverse coefficient problem is proposed. Computational experiments were carried out to compare the obtained solutions with respect to synthetic and real data. The results of computational experiments have shown the efficiency of this approach. Ways to further i

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29

Blok, H., and M. C. S. Zeylmans. "Reciprocity and the formulation of inverse profiling problems." Radio Science 22, no. 7 (1987): 1137–47. http://dx.doi.org/10.1029/rs022i007p01137.

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Baranov, V. I., and L. A. Gribov. "Formulation and solution of the inverse vibronic problem." Journal of Applied Spectroscopy 51, no. 1 (1989): 700–704. http://dx.doi.org/10.1007/bf00664372.

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Dey, Arindam, and Prabir Basudhar. "Estimation of Burger model parameters using inverse formulation." International Journal of Geotechnical Engineering 6, no. 3 (2012): 261–74. http://dx.doi.org/10.3328/ijge.2012.06.03.261-274.

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YOSHIMURA, TOSHIO, and KAZUSHIGE IKUTA. "Inverse heat-conduction problem by finite-element formulation." International Journal of Systems Science 16, no. 11 (1985): 1365–75. http://dx.doi.org/10.1080/00207728508926757.

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UCHIDA, Kazuo, and Kazunori HASE. "Simple formulation for inverse dynamics satisfying kinetic consistency." Proceedings of the Dynamics & Design Conference 2016 (2016): 401. http://dx.doi.org/10.1299/jsmedmc.2016.401.

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Frankel, J. I., and M. Keyhani. "Response function formulation for inverse heat conduction: concept." Journal of Engineering Mathematics 110, no. 1 (2017): 75–95. http://dx.doi.org/10.1007/s10665-017-9932-8.

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35

Zhou, Xianlian, and Jia Lu. "Inverse formulation for geometrically exact stress resultant shells." International Journal for Numerical Methods in Engineering 74, no. 8 (2008): 1278–302. http://dx.doi.org/10.1002/nme.2215.

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Penenko, A. V., V. S. Konopleva, and V. V. Penenko. "Inverse modeling of atmospheric chemistry with a differential evolution solver: Inverse problem and Data assimilation." IOP Conference Series: Earth and Environmental Science 1023, no. 1 (2022): 012015. http://dx.doi.org/10.1088/1755-1315/1023/1/012015.

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Abstract In this paper, we numerically compare an inverse problem for an atmospheric chemistry model, when all the measurement data is available a priory, to a corresponding data assimilation problem when the data are obtained in some portions during the simulation. In both cases, we reconstruct the unobservable parts of the model state function by the observable ones (i.e., solve a continuation problem). This is done by identifying the model reaction rate parameters with the available measurement data by solving an optimization problem with a derivative-free differential evolution solver. In

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Dong, Jinlong, Luca Di Rienzo, Olivier Chadebec, and Jianhua Wang. "Application of Whitney elements for the reconstruction of electric arc current density in low-voltage circuit breakers." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 38, no. 3 (2019): 1036–47. http://dx.doi.org/10.1108/compel-09-2018-0359.

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Purpose This paper aims to present the mathematical formulations of a magnetic inverse problem for the electric arc current density reconstruction in a simplified arc chamber of a low-voltage circuit breaker. Design/methodology/approach Considering that electric arc current density is a zero divergence vector field, the inverse problem can be solved in Whitney space W2 in terms of electric current density J with the zero divergence condition as a constraint or can be solved in Whitney space W1 in terms of electric vector potential T where the zero divergence condition naturally holds. Moreover

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Sariyildiz, Emre, Eray Cakiray, and Hakan Temeltas. "A Comparative Study of Three Inverse Kinematic Methods of Serial Industrial Robot Manipulators in the Screw Theory Framework." International Journal of Advanced Robotic Systems 8, no. 5 (2011): 64. http://dx.doi.org/10.5772/45696.

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In this paper, we compare three inverse kinematic formulation methods for the serial industrial robot manipulators. All formulation methods are based on screw theory. Screw theory is an effective way to establish a global description of rigid body and avoids singularities due to the use of the local coordinates. In these three formulation methods, the first one is based on quaternion algebra, the second one is based on dual-quaternions, and the last one that is called exponential mapping method is based on matrix algebra. Compared with the matrix algebra, quaternion algebra based solutions are

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Aliatiningtyas, Nur, Sugi Guritman, and Teduh Wulandari. "On the Explicit Formula for Eigenvalues, Determinant, and Inverse of Circulant Matrices." JTAM (Jurnal Teori dan Aplikasi Matematika) 6, no. 3 (2022): 711. http://dx.doi.org/10.31764/jtam.v6i3.8616.

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Determining eigenvalues, determinants, and inverse for a general matrix is computationally hard work, especially when the size of the matrix is large enough. But, if the matrix has a special type of entry, then there is an opportunity to make it much easier by giving its explicit formulation. In this article, we derive explicit formulas for determining eigenvalues, determinants, and inverses of circulant matrices with entries in the first row of those matrices in any formation of a sequence of numbers. The main method of our study is exploiting the circulant property of the matrix and associat

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SISWANDI, SISWANDI, SUGI GURITMAN, NUR ALIATININGTYAS, and TEDUH WULANDARI. "A COMPUTATION PERSPECTIVE FOR THE EIGENVALUES OF CIRCULANT MATRICES INVOLVING GEOMETRIC PROGRESSION." Jurnal Matematika UNAND 12, no. 1 (2023): 65. http://dx.doi.org/10.25077/jmua.12.1.65-77.2023.

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In this article, the eigenvalues and inverse of circulant matrices with entries in the first row having the form of a geometric sequence are formulated explicitly in a simple form in one theorem. The method for deriving the formulation of the determinant and inverse is simply using elementary row or column operations. For the eigenvalues, the known formulation of the previous results is simplified by considering the specialty of the sequence and using cyclic group properties of unit circles in the complex plane. Then, the algorithm of eigenvalues formulation is constructed, and it shows as a b

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Steen-Larsen, Hans Christian, Edwin D. Waddington, and Michelle R. Koutnik. "Formulating an inverse problem to infer the accumulation-rate pattern from deep internal layering in an ice sheet using a Monte Carlo approach." Journal of Glaciology 56, no. 196 (2010): 318–32. http://dx.doi.org/10.3189/002214310791968476.

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AbstractUsing a Monte Carlo (MC) method, we determine the accumulation-rate profile along a flowband, the influx of ice into the upstream end of the flowband and the age of an internal layer. The data comprise the depth profile of the internal layer, a few velocity measurements at the surface and the average accumulation at one location. The data in our example were collected at Taylor Mouth, a flank site off Taylor Dome, Antarctica. We present three alternative formulations of this inverse problem. Depending on the formulation used, this particular inverse problem can have up to four solution

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Kravchuk, Oleg, and Galyna Kriukova. "Regularization by Denoising for Inverse Problems in Imaging." Mohyla Mathematical Journal 5 (December 28, 2022): 57–61. http://dx.doi.org/10.18523/2617-70805202257-61.

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In this work, a generalized scheme of regularization of inverse problems is considered, where a priori knowledge about the smoothness of the solution is given by means of some self-adjoint operator in the solution space. The formulation of the problem is considered, namely, in addition to the main inverse problem, an additional problem is defined, in which the solution is the right-hand side of the equation. Thus, for the regularization of the main inverse problem, an additional inverse problem is used, which brings information about the smoothness of the solution to the initial problem. This

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43

Wang, J. T. "Redundancy Resolution of Robotic Manipulators Using Normalized Generalized Inverses." Journal of Mechanical Design 117, no. 3 (1995): 454–59. http://dx.doi.org/10.1115/1.2826700.

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A dynamical formulation based upon the undetermined force method is presented for analyzing redundant robotic manipulators. The equivalence between this dynamical formulation and the general solution of kinematic constraint equations is then obtained through use of a normalized generalized inverse. This leads to a special form of the dynamical equations, called the N-inverse form of the dynamical equations. A class of problems, associated with the optimization of quadratic objective functions, are then studied. We find that the N-inverse form of the dynamical equations is the solution of this

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44

Argun, Raul, Alexandr Gorbachev, Dmitry Lukyanenko, and Maxim Shishlenin. "On Some Features of the Numerical Solving of Coefficient Inverse Problems for an Equation of the Reaction-Diffusion-Advection-Type with Data on the Position of a Reaction Front." Mathematics 9, no. 22 (2021): 2894. http://dx.doi.org/10.3390/math9222894.

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The work continues a series of articles devoted to the peculiarities of solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection-type with data on the position of the reaction front. In this paper, we place the emphasis on some problems of the numerical solving process. One of the approaches to solving inverse problems of the class under consideration is the use of methods of asymptotic analysis. These methods, under certain conditions, make it possible to construct the so-called reduced formulation of the inverse problem. Usually, a

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45

Xie, Shunqing. "Inverse dynamic formulation of a novel hybrid machine tool." Chinese Journal of Mechanical Engineering (English Edition) 16, no. 02 (2003): 184. http://dx.doi.org/10.3901/cjme.2003.02.184.

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Manca, Vincenzo, and Luca Marchetti. "An algebraic formulation of inverse problems in MP dynamics." International Journal of Computer Mathematics 90, no. 4 (2013): 845–56. http://dx.doi.org/10.1080/00207160.2012.735362.

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