Search Results - "GOPALAKRISHNAN, J."

Breaking spaces and forms for the DPG method and applications including Maxwell equations by Carstensen, C., Demkowicz, L., Gopalakrishnan, J.

“…Discontinuous Petrov–Galerkin (DPG) methods are made easily implementable using “broken” test spaces, i.e., spaces of functions with no continuity constraints…”
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A class of discontinuous Petrov–Galerkin methods. Part I: The transport equation by Demkowicz, L., Gopalakrishnan, J.

“…Considering a simple model transport problem, we present a new finite element method. While the new method fits in the class of discontinuous Galerkin (DG)…”
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An analysis of the practical DPG method by GOPALAKRISHNAN, J., QIU, W.

“…We give a complete error analysis of the Discontinuous Petrov Galerkin (DPG) method, accounting for all the approximations made in its practical…”
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Simulations of single- and two-tone Tm-doped optical fiber laser amplifiers by Goswami, T, Grosek, J, Gopalakrishnan, J

“…This work uses numerical simulations of a thulium-doped optical fiber amplifier to predict various performance characteristics such as peak temperatures,…”
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ANALYSIS OF THE DPG METHOD FOR THE POISSON EQUATION by DEMKOWICZ, L., GOPALAKRISHNAN, J.

“…We give an error analysis of the recently developed DPG method applied to solve the Poisson equation and a convection-diffusion problem. We prove that the…”
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A primal DPG method without a first-order reformulation by Demkowicz, L., Gopalakrishnan, J.

“…We show that it is possible to apply the DPG methodology without reformulating a second-order boundary value problem into a first-order system, by considering…”
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Thermodynamic evidence for phase transition in MoO2-δ by JACOB, K. T, SAJI, V. S, GOPALAKRISHNAN, J, WASEDA, Y

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Chimie Douce Approaches to the Synthesis of Metastable Oxide Materials by Gopalakrishnan, J

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Simulation of optical fiber amplifier gain using equivalent short fibers by Drake, D., Gopalakrishnan, J., Goswami, T., Grosek, J.

“…Electromagnetic wave propagation in optical fiber amplifiers obeys Maxwell equations. Using coupled mode theory, the full Maxwell system within an optical…”
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Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems by Gopalakrishnan, J., Parker, B.Q., VandenBerge, P.

“…An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions…”
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Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation by Demkowicz, L., Gopalakrishnan, J., Muga, I., Zitelli, J.

“…We study the properties of a novel discontinuous Petrov Galerkin (DPG) method for acoustic wave propagation. The method yields Hermitian positive definite…”
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Designing a Lower Band Gap Bulk Ferroelectric Material with a Sizable Polarization at Room Temperature by Das, Shyamashis, Ghara, Somnath, Mahadevan, Priya, Sundaresan, A, Gopalakrishnan, J, Sarma, D. D

“…A low band gap ferroelectric material with a sizable polarization at ambient conditions would constitute an ideal photovoltaic material to harvest solar energy…”
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Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling by Gopalakrishnan, J., Kogler, L., Lederer, P. L., Schöberl, J.

“…We introduce two new lowest order methods, a mixed method, and a hybrid discontinuous Galerkin method, for the approximation of incompressible flows. Both…”
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SYMMETRIC NONCONFORMING MIXED FINITE ELEMENTS FOR LINEAR ELASTICITY by GOPALAKRISHNAN, J., GUZMÁN, J.

“…We present a family of mixed methods for linear elasticity that yield exactly symmetric, but only weakly conforming, stress approximations. The method is…”
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A class of discontinuous Petrov–Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D by Zitelli, J., Muga, I., Demkowicz, L., Gopalakrishnan, J., Pardo, D., Calo, V.M.

“…The phase error, or the pollution effect in the finite element solution of wave propagation problems, is a well known phenomenon that must be confronted when…”
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Polynomial extension operators. Part III by DEMKOWICZ, L., GOPALAKRISHNAN, J., SCHÖBERL, J.

“…In this concluding part of a series of papers on tetrahedral polynomial extension operators, the existence of a polynomial extension operator in the Sobolev…”
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Synthesis, structure and electrochemical behaviour of new Ru-containing lithium-rich layered oxides by Tamilarasan, S., Mukherjee, Debdyuti, Sampath, S., Natarajan, S., Gopalakrishnan, J.

“…Three new series of rocksalt related layered Li-rich oxides of formulas, Li[LixM0.5−x/2Ru0.5−x/2]O2 (I) [for M=Co, Ni; x=0.125, 0.25, 0.33], Li[LixM1−2xRux]O2…”
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Ce2/3Cr1/3O2+y: A New Oxygen Storage Material Based on the Fluorite Structure by Singh, Preetam, Hegde, M. S, Gopalakrishnan, J

“…In an exploratory search for new oxygen storage materials (OSMs), we have identified a fluorite-type solid solution series, Ce1−x Cr x O2+y (0 < x ≤ 1/3), of…”
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Determination of Dimethylamine and Triethylamine in Hydrochloride Salts of Drug Substances by Headspace Gas Chromatography using Dimethyl Sulphoxide- imidazole as Diluent by Gopalakrishnan, J, Devi, S Asha

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Developing Intense Blue and Magenta Colors in α-LiZnBO3: The Role of 3d-Metal Substitution and Coordination by Tamilarasan, S., Reddy, M. L. P., Natarajan, S., Gopalakrishnan, J.

“…We describe the synthesis, crystal structures, and optical absorption spectra/colors of 3d‐transition‐metal‐substituted α‐LiZnBO3 derivatives: α‐LiZn1−xMIIxBO3…”
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