Results 181 to 190 of about 52,764 (220)
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Faedo‐galerkin approximations in equations of evolution
Mathematical Methods in the Applied Sciences, 1984The author considers an abstract evolution equation (1.a) \(du/dt=Au+Nu\), (1.b) \(u(0)=u_ 0\) in a Hilbert space H where A is a densely defined closed linear operator which is assumed to be quasi m-dissipative, i.e. A-\(\omega\) I is m-dissipative for some \(\omega\in {\mathbb{R}}\), and N is a nonlinear locally Lipschitzian map in H.
R. Göthel, D. S. Jones
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Discontinuous Galerkin methods using poly-sinc approximation
Mathematics and Computers in Simulation, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khalil, Omar A., Baumann, Gerd
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Galerkin approximation for thermoelastic models
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000We consider the coupled partial differential equations which arise in modeling linear thermoelastic structures. For a specific example, we show how to construct a norm which is equivalent to the energy norm, but which improves upon the dissipative inequality given by the energy norm.
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Discontinuous Galerkin approximations for elliptic problems
Numerical Methods for Partial Differential Equations, 2000A discontinuous finite element method for the approximation of elliptic problems is analyzed. The authors consider as a model problem the Laplace operator in a two-dimensional convex polygonal domain. The original formulation of this method is rewrited in a new and more elegant way, better suited for a mathematical investigation.
F Brezzi +4 more
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Mixed Discontinuous Galerkin Approximation of the Maxwell Operator
SIAM Journal on Numerical Analysis, 2004A discontinuous Galerkin discretization of the Maxwell operator in mixed form is introduced and analyzed. All the unknowns of the underlying system of the partial differential equations are approximated by discontinuous finite element spaces of the same order, so that the present approach can be applied to meshes with nonmatching interfaces and hanging
HOUSTON P. +2 more
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Adjoint-Based, Superconvergent Galerkin Approximations of Linear Functionals
Journal of Scientific Computing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernardo Cockburn, Zhu Wang
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Discontinuous Galerkin Approximations and Main Results
2014The second chapter of the book is twofold. First, we briefly present the approximation schemes under consideration and their main properties. In particular, we introduce the discontinuous Galerkin (DG) semi-discretization of the wave and Klein–Gordon equations using the so-called symmetric interior penalty DG method in its simplest version, in which ...
Aurora Marica, Enrique Zuazua
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SPECTRAL APPROXIMATION USING ITERATED DISCRETE GALERKIN METHOD
Numerical Functional Analysis and Optimization, 2002ABSTRACT We consider approximation of eigenelements of an integral operator with a smooth kernel by discrete Galerkin and iterated discrete Galerkin methods. We prove that by using a sufficiently accurate numerical quadrature formula, the orders of convergence in Galerkin/iterated Galerkin methods are preserved.
KULKARNI, RP, GNANESHWAR, N
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Discontinuous Galerkin approximation of the Laplace eigenproblem
Computer Methods in Applied Mechanics and Engineering, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ANTONIETTI, PAOLA FRANCESCA +2 more
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