Results 21 to 30 of about 701,623 (312)

A priori error estimates for energy-based quasicontinuum approximations of a periodic chain [PDF]

, 2011
We derive a priori error estimates for three prototypical energy-based quasicontinuum (QC) methods: the local QC method, the energy-based QC method, and the quasi-nonlocal QC method.
Christoph Ortner, Ortner, Christoph, Hao Wang, Wang, Hao   +3 more
core   +1 more source

The estimation of truncation error by τ-estimation revisited [PDF]

Journal of Computational Physics, 2012
The aim of this paper was to accurately estimate the local truncation error of partial differential equations, that are numerically solved using a finite difference or finite volume approach on structured and unstructured meshes. In this work, we approximated the local truncation error using the @t-estimation procedure, which aims to compare the ...
Fraysse, François, Vicente Buendia, Javier de, Valero Sánchez, Eusebio   +2 more
openaire   +3 more sources

Prevalence of refractive error in Europe: the European Eye Epidemiology (E(3)) Consortium. [PDF]

, 2015
To estimate the prevalence of refractive error in adults across Europe. Refractive data (mean spherical equivalent) collected between 1990 and 2013 from fifteen population-based cohort and cross-sectional studies of the European Eye Epidemiology (E(3 ...
Cumberland, P.M., Gabriëlle H. S. Buitendijk, Erke, MG, Astrid Fletcher, Kuijpers, Robert W.A.M., Wolfram, C, Kuijpers, Robert WAM, Cougnard-Grégoire, Audrey, Vingerling, Johannes R., Erke, M.G., Christian Wolfram, Fletcher, Astrid, Kuijpers, R.W., Hammond, Christopher J., Mahroo, Omar, Verhoeven, Virginie, Hogg, Ruth, Wolfram, Christian, Kuijpers, Robert W A M, Luben, RN, Rahi, Jugnoo, Klaver, Caroline C. W., Bertelsen, G., van Duijn, C.M., Anastasopoulos, Eleftherios, Fletcher, A., Rahi, J.S., Robert W. A. M. Kuijpers, Ruth Hogg, Bertelsen, Geir, Hanno, Therese von, Mirshahi, A, Verhoeven, V.J., von Hanno, T, Mahroo, O, Hammond, Christopher J, von Hanno, Therese, Norbert Pfeiffer, Vingerling, J.R., Christopher J. Hammond, Albert Hofman, Klaver, Caroline C W, Cumberland, Phillippa, Hofman, Bert, Hammond, C.J., Verhoeven, Virginie; id_orcid, Meitinger, T, Maja Gran Erke, Fletcher, A, Hogg, Ruth; id_orcid, Cumberland, P, Gieger, Christian, Hammond, CJ, Fotis Topouzis, Creuzot-Garcher, C., Paul J. Foster, Wolfram, C., Khawaja, Anthony P, Buitendijk, Gabriëlle H S, Meitinger, T., Hofman, A., Audrey Cougnard-Grégoire, Buitendijk, G.H., Creuzot Garcher, Catherine, Gieger, C, Buitendijk, Gabriëlle H.S., Delcourt, C, Omar Mahroo, Cornelia M. van Duijn, Bron, A., Woolf, Katie Williams; id_orcid, René Höhn, Bertelsen, G, von Hanno, T., Jean-François Korobelnik, Topouzis, F., Jean-François Dartigues, Mirshahi, A., Dartigues, J.F., Delcourt, C., Korobelnik, Jean-François, Williams, Katie M., Korobelnik, J.F., Gieger, C., Christian Gieger, Vingerling, Johannes R, Williams, KM, van Duijn, Cornelia M., Topouzis, F, Dartigues, JF, Verhoeven, Virginie J.M., Klaver, C.C., Luben, R.N., Khawaja, Anthony P., Geir Bertelsen, Vingerling, Hans, Luben, Robert N, Korobelnik, JF, Höhn, René, Alireza Mirshahi, Bron, A, Pfeiffer, Norbert, van Duijn, Cornelia, Anastasopoulos, E, Hogg, R, Buitendijk, Gabriëlle, Mirshahi, Alireza, Erke, Maja Gran, Virginie J. M. Verhoeven, Cécile Delcourt, Duijn, Cornelia, Klaver, Caroline CW, Creuzot-Garcher, C, Creuzot-Garcher, Catherine, Hofman, Albert, Hohn, R, Foster, PJ, Anthony P. Khawaja, Gran Erke, Maja, Meitinger, Thomas, Khawaja, AP, Khawaja, A.P., Robert N. Luben, Verhoeven, Virginie J M, Anastasopoulos, E., Klaver, Caroline, Foster, Paul J, Cougnard-Grégoire, A., Buitendijk, Gabriëlle HS, Jugnoo Rahi, van Duijn, Cornelia M, Dartigues, Jean-François, Kuijpers, Robert, Cougnard-Gregoire, A, Verhoeven, Virginie JM, Topouzis, Fotis, Klaver, Caroline C.W., Thomas Meitinger, Foster, Paul J., Johannes R. Vingerling, Catherine Creuzot-Garcher, Alain Bron, Caroline C. W. Klaver, Höhn, R., Rahi, J, Katie M. Williams, Luben, Robert N., Pfeiffer, N., Pfeiffer, N, Phillippa Cumberland, Mahroo, O., Williams, Katie M, Bron, Alain, Therese von Hanno, Williams, K.M., Delcourt, Cécile, Foster, P.J., Hammond, Chris, Eleftherios Anastasopoulos, Hogg, R.   +159 more
core   +1 more source

A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations

Journal of Inequalities and Applications, 2016
In this study, a high accuracy numerical method based on the spectral theory of compact operator for biharmonic eigenvalue equations on a spherical domain is developed.
Zhendong Luo
doaj   +1 more source

Stability, instability, and error of the force-based quasicontinuum approximation [PDF]

, 2009
Due to their algorithmic simplicity and high accuracy, force-based model coupling techniques are popular tools in computational physics. For example, the force-based quasicontinuum (QCF) approximation is the only known pointwise consistent quasicontinuum
Luskin, Mitchell Barry, Christoph Ortner, Ortner, Christoph, Mitchell Luskin, Matthew Dobson, Dobson, Matthew   +5 more
core   +1 more source

A fully-discrete finite element approximation for the eddy currents problem

Ingeniería y Ciencia, 2013
The eddy current model is obtained from Maxwell’s equations by neglecting the displacement currents in the Amp`ere-Maxwell’s law and it is commonly used in many problems in sciences, engineering and industry (e.g, in induction heating, electromagnetic ...
Ramiro Acevedo, Gerardo Loaiza
doaj   +1 more source

Some Second-Order σ Schemes Combined with an H¹-Galerkin MFE Method for a Nonlinear Distributed-Order Sub-Diffusion Equation

Mathematics, 2020
In this article, some high-order time discrete schemes with an H 1 -Galerkin mixed finite element (MFE) method are studied to numerically solve a nonlinear distributed-order sub-diffusion model.
Yaxin Hou, Cao Wen, Hong Li, Yang Liu, Zhichao Fang, Yining Yang   +5 more
doaj   +1 more source

A posteriori error control for a quasi-continuum approximation of a periodic chain [PDF]

, 2013
We consider a one-dimensional periodic atomistic model, for which we formulate and analyse an adaptive variant of a quasicontinuum method. We establish a posteriori error estimators for the energy norm and for the energy, based on a posteriori residual ...
Wang, Hoa, Ortner, Christoph
core   +1 more source

Numerical analysis of an implicit fully discrete local discontinuous Galerkin method for the fractional Zakharov–Kuznetsov equation

Mathematical Modelling and Analysis, 2012
In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Zakharov–Kuznetsov equation.
Zongxiu Ren, Leilei Wei, Yinnian He, Shaoli Wang   +3 more
doaj   +1 more source

Regularization Error Analysis for a Sideways Problem of the 2D Nonhomogeneous Time-Fractional Diffusion Equation

Mathematics, 2022
The inverse and ill-posed problem of determining a solute concentration for the two-dimensional nonhomogeneous fractional diffusion equation is investigated. This model is much worse than its homogeneous counterpart as the source term appears. We propose
Yonggang Chen, Yu Qiao, Xiangtuan Xiong
doaj   +1 more source