Search Results - "Oden, J.T."

An interpretation of the Navier–Stokes-alpha model as a frame-indifferent Leray regularization by Guermond, J.L., Oden, J.T., Prudhomme, S.

“…We show in this note that the Leray regularization of the Navier–Stokes equations is almost frame-indifferent but for one second-order term. Neglecting this…”
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Dynamic data-driven finite element models for laser treatment of cancer by Oden, J.T., Diller, K.R., Bajaj, C., Browne, J.C., Hazle, J., Babuška, I., Bass, J., Biduat, L., Demkowicz, L., Elliott, A., Feng, Y., Fuentes, D., Prudhomme, S., Rylander, M. N., Stafford, R.J., Zhang, Y.

“…Elevating the temperature of cancerous cells is known to increase their susceptibility to subsequent radiation or chemotherapy treatments, and in the case in…”
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Selection and validation of predictive models of radiation effects on tumor growth based on noninvasive imaging data by Lima, E.A.B.F., Oden, J.T., Wohlmuth, B., Shahmoradi, A., Hormuth, D.A., Yankeelov, T.E., Scarabosio, L., Horger, T.

“…The use of mathematical and computational models for reliable predictions of tumor growth and decline in living organisms is one of the foremost challenges in…”
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Goal-oriented error estimation and adaptivity for the finite element method by Oden, J.T., Prudhomme, S.

“…In this paper, we study a new approach in a posteriori error estimation, in which the numerical error of finite element approximations is estimated in terms of…”
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Generalized finite element methods for three-dimensional structural mechanics problems by Duarte, C.A., Babuška, I., Oden, J.T.

“…The present paper summarizes the generalized finite element method formulation and demonstrates some of its advantages over traditional finite element methods…”
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On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors by Prudhomme, S., Oden, J.T.

“…A method to estimate and control pointwise errors in finite element approximations of elliptic problems is presented as an application of the more general…”
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Ghost forces and spurious effects in atomic-to-continuum coupling methods by the Arlequin approach by Chamoin, Ludovic, Prudhomme, Serge, Ben Dhia, H., Oden, Tinsley

“…The main objective of this work is to identify spurious effects and propose a corrective method when coupling a particle model involving long–range interaction…”
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A stochastic coupling method for atomic-to-continuum Monte-Carlo simulations by Chamoin, Ludovic, Oden, J.T., Prudhomme, Serge

“…In this paper, we propose a multiscale coupling approach to perform Monte-Carlo simulations on systems described at the atomic scale and subjected to random…”
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A new adaptive modeling strategy based on optimal control for atomic-to-continuum coupling simulations by Ben Dhia, H., Chamoin, Ludovic, Oden, J. Tinsley, Prudhomme, Serge

“…A new adaptive method based on an optimal control approach is proposed for adaptive modeling of an atomic-to-continuum coupling method constructed from the…”
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Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method by Prudhomme, S., Ben Dhia, H., Bauman, P.T., Elkhodja, N., Oden, J.T.

“…We propose in this paper a 1D model problem to study the convergence of surrogate approximations, using an atomistic-to-continuum coupling method, towards the…”
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Real-time inference of stochastic damage in composite materials by Prudencio, E.E., Bauman, P.T., Williams, S.V., Faghihi, D., Ravi-Chandar, K., Oden, J.T.

“…This study describes a control system designed for real-time monitoring of damage in materials that employs methods and models that account for uncertainties…”
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A new cloud-based hp finite element method by Oden, J.T., Duarte, C.A.M., Zienkiewicz, O.C.

“…A hybrid computational method for solving boundary-value problems is introduced which combines features of the meshless hp-cloud methods with features of…”
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Adaptive modeling of wave propagation in heterogeneous elastic solids by Romkes, Albert, Oden, J.T.

“…This manuscript presents the results of a detailed research investigation on a fundamental problem in wave mechanics: the propagation of stress waves in…”
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On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models by Oden, J.T., Prudhomme, S., Bauman, P.

“…The Goals algorithm for adaptive modeling is extended to the case of discrete models such as those characterized by lattice structures (or the static behavior…”
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On the Application of the Arlequin Method to the Coupling of Particle and Continuum Models by Bauman, Paul T., Ben Dhia, Hachmi, Elkhodja, Nadia, Oden, J.T., Prudhomme, Serge

“…In this work, we propose to extend the Arlequin framework to couple particle and continuum models. Three different coupling strategies are investigated based…”
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A Priori error analyses of a stabilized discontinuous Galerkin method by Romkes, A., Prudhomme, S., Oden, J.T.

“…We introduce a new stabilized discontinuous Galerkin method within a new function space setting, that is closely related to the discontinuous Galerkin…”
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A discontinuous hp finite element method for diffusion problems: 1-D analysis by Babuška, I., Baumann, C.E., Oden, J.T.

“…This paper presents the mathematical analysis of a new variant of the discontinuous Galerkin method which is applicable to the numerical solution of diffusion…”
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Computational micro- and macroscopic models of contact and friction: formulation, approach and applications by Tworzydlo, W.W., Cecot, W., Oden, J.T., Yew, C.H.

“…This paper is dedicated to new asperity-based constitutive models of contact interfaces. These models have been obtained through a combination of finite…”
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Preface by Babuška, I., Oden, J.T.

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A posteriori error estimation for a new stabilized discontinuous Galerkin method by Romkes, A., Prudhomme, S., Oden, J.T.

“…A posteriori error estimates are derived for a stabilized discontinuous Galerkin method (DGM) [1]. Equivalence between the error norm and the norm of the…”
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