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Showing 1 to 9 of 9 for “"elliptic systems"”.
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A Variational Approach to Estimating Uncertain Parameters in Elliptic Systems
… aiding in the prototyping of engineering systems or informing decisions on safety and reliability, the need to quantify uncertainty in model outputs due to uncertainties in the model parameters becomes critical. However, the statistical characterization of the model parameters is rarely …
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Finite-Element Solutions of Elliptic Systems of Partial Differential Equations and the Isoparametric Technique
Made available in DSpace on 2014-12-14T13:09:36Z (GMT). No. of bitstreams: 1 7804103.pdf: 3199763 bytes, checksum: fe755a8b847e23cf66f25bbc8e19b4a5 (MD5) Previous issue date: 1977
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Extensions of the theory of tent spaces and applications to boundary value problems
… of solutions to first-order Cauchy–Riemann systems (or equivalently, the classification of conormal gradients of solutions to second-order elliptic systems) within weighted tent spaces and Z-spaces. We establish this classification, and as a corollary we obtain a useful characterisation of …
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Extensions of the theory of tent spaces and applications to boundary value problems
… of solutions to first-order Cauchy–Riemann systems (or equivalently, the classification of conormal gradients of solutions to second-order elliptic systems) within weighted tent spaces and Z-spaces. We establish this classification, and as a corollary we obtain a useful characterisation of …
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An a posteriori error control framework for adaptive precision optimization using discontinuous Galerkin finite element method
… the past decade. Adjoint-based shape design for elliptic systems was first proposed by Pironneau and applied to transonic flow by Jameson . A review of the aerodynamic shape optimization literature and a large list of references is given in. Over the years much technology has been developed, …
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The Calderón problem for connections
… map and in which the Yang-Mills equations become elliptic. By using the unique continuation property for elliptic systems and the fact that the singular set is suitably small, we are able to propagate the gauges globally. For the case $m = 1$ we are able to reconstruct the connection, whereas for …
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Structural Conditions for Global Existence in Some Chemotaxis Systems with Different Logistics
… analysis of a wide class of chemotaxis systems inspired by and extending the classical Keller–Segel model. The models investigated combine attraction–repulsion mechanisms, signal production and consumption, and logistic-type growth and decay effects, of both local and nonlocal type. The …
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Hessian Matrix-Free Lagrange-Newton-Krylov-Schur-Schwarz Methods for Elliptic Inverse Problems
… focuses on the solution of inverse problems for elliptic systems. The inverse problem is constructed as a PDE-constrained optimization, where the cost function is the <em>L</em><sup>2</sup> norm of the difference between the measured data and the predicted state variable, and the constraint is an …
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Asymptotic staticity and tensor decompositions with fast decay conditions
… by using similar arguments. A quasilinear elliptic system of equations is presented of which we expect that it can be used to construct vacuum initial data which are asymptotically flat, time-reflection symmetric, and asymptotic to static data up to a prescribed order at space-like …