Move page script: Move page script moved page Samper et al 2019a to Nadukandi Onate 2015a

2019-02-01T11:40:19Z

Move page script moved page Samper et al 2019a to Nadukandi Onate 2015a

Cinmemj: Cinmemj moved page Draft Samper 731649736 to Samper et al 2019a

2019-01-03T09:34:10Z

Cinmemj moved page Draft Samper 731649736 to Samper et al 2019a

Cinmemj at 09:33, 3 January 2019

2019-01-03T09:33:44Z

Cinmemj: Created page with "==1 Title, abstract and keywords

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-==1 Title, abstract and keywords<!-- Your document should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviations and formulae where possible. Capitalize the first word of the title.
+Published in ''Computational Mechanics'' Vol. 55 (5), pp. 903-920, 2015<br />
-Provide a maximum of 6 keywords, and avoiding general and plural terms and multiple concepts (avoid, for example, 'and', 'of'). Be sparing with abbreviations: only abbreviations firmly established in the field should be used. These keywords will be used for indexing purposes.
+Numerically stable formulas are presented for the closed-form analytical solution of the X-IVAS scheme in 3D. This scheme is a state-of-the-art particle-based explicit exponential integrator developed for the particle finite element method. Algebraically, this scheme involves two steps: (1) the solution of tangent curves for piecewise linear vector fields defined on simplicial meshes and (2) the solution of line integrals of piecewise linear vector-valued functions along these tangent curves. Hence, the stable formulas presented here have general applicability, e.g. exact integration of trajectories in particle-based (Lagrangian-type) methods, flow visualization and computer graphics. The Newton form of the polynomial interpolation definition is used to express exponential functions of matrices which appear in the analytical solution of the X-IVAS scheme. The divided difference coefficients in these expressions are defined in a piecewise manner, i.e. in a prescribed neighbourhood of removable singularities their series approximations are computed. An optimal series approximation of divided differences is presented which plays a critical role in this methodology. At least ten significant decimal digits in the formula computations are guaranteed to be exact using double-precision floating-point arithmetic. The worst case scenarios occur in the neighbourhood of removable singularities found in fourth-order divided differences of the exponential function.
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← Older revision	Revision as of 11:40, 1 February 2019
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← Older revision	Revision as of 09:34, 3 January 2019
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Nadukandi Onate 2015a - Revision history

Move page script: Move page script moved page Samper et al 2019a to Nadukandi Onate 2015a

Cinmemj: Cinmemj moved page Draft Samper 731649736 to Samper et al 2019a

Cinmemj at 09:33, 3 January 2019

Cinmemj: Created page with "==1 Title, abstract and keywords