Results 81 to 90 of about 4,851,792 (234)
Geodesics on the Momentum Phase Space with metric $^{{C}}{g}$
Universal Journal of Mathematics and Applications, 2018 In this paper, a system of the differential equations giving geodesics on the momentum phase space with pseudo Riemann metric $^{C}g$ of a Hamilton space is found by using the Euler Lagrange equations.
İsmet Ayhan
doaj +1 more source
AV-differential geometry: Euler–Lagrange equations [PDF]
, 2006 A general, consistent and complete framework for geometrical formulation of mechanical systems is proposed, based on certain structures on affine bundles (affgebroids) that generalize Lie algebras and Lie algebroids.
K. Grabowska, J. Grabowski, P. Urbański
semanticscholar +1 more source
Establishing Shape Correspondences: A Survey
Computer Graphics Forum, EarlyView.Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source
Computer Graphics Forum, EarlyView.Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel +2 more
wiley +1 more source
Journal of Low Frequency Noise, Vibration and Active Control, 2019 This paper gives analytical solutions to a nonlinear oscillator with coordinate-dependent mass and Euler–Lagrange equation using the parameterized homotopy perturbation method.
MY Adamu, P Ogenyi, AG Tahir
doaj +1 more source
Euler-Lagrange equations for full topology optimization of the Q-factor in leaky cavities
, 2019 We derive Euler-Lagrange equations for the topology optimization of decay rate in 3-d lossy optical cavities. This leads to a new class of time-harmonic differential or integro-differential equations, which can be written as nonlinear Maxwell systems ...
Matthias Eller (14408355) +1 more
core +1 more source
Phong‐Rodrigues Extrinsic Vector‐Field Processing
Computer Graphics Forum, EarlyView.Abstract We introduce a new extrinsic discretization of tangent vector fields on triangle meshes that is continuous, with bounded derivatives that are continuous almost everywhere, supporting pointwise evaluation and integration of differential operators.
Hongyi Liu +4 more
wiley +1 more source
On Bending in the As‐Rigid‐As‐Possible Deformation Energy
Computer Graphics Forum, EarlyView.Abstract The well‐established As‐Rigid‐As‐Possible (ARAP) energy has various forms. For surface deformation, commonly used energies contain an implicit bending penalty. We present a natural, continuous generalization that incorporates multiple ARAP versions with an implicit, user‐controllable bending penalty.
Ugo Finnendahl, Marc Alexa
wiley +1 more source
General Relativity by Kawaguchi geometry
EPJ Web of Conferences, 2013 We construct a parameterisation invariant Lagrange theory of fields up to second order by using multivector bundles and Kawaguchi geometry. In this setup, the spacetime is an dynamical object which is a submanifold of the greater manifold, and the actual
Tanaka Erico
doaj +1 more source
Hamilton-Pontryagin Integrators on Lie Groups [PDF]
, 2007 In this thesis structure-preserving time integrators for mechanical systems whose configuration space is a Lie group are derived from a Hamilton-Pontryagin (HP) variational principle.
Bou-Rabee, Nawaf Mohammed
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