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Displaying 81 –
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Anisotropic adaptive methods based on a metric related to the Hessian of the solution are
considered. We propose a metric targeted to the minimization of interpolation error
gradient for a nonconforming linear finite element approximation of a given piecewise
regular function on a polyhedral domain Ω of
ℝd, d ≥ 2. We also
present an algorithm generating a sequence of asymptotically quasi-optimal meshes relative
to such a nonconforming...
We consider the problem of calculating a closed form expression for the integral of a real-valued function f:ℝⁿ → ℝ on a set S. We specialize to the particular cases when S is a convex polyhedron or an ellipsoid, and the function f is either a generalized polynomial, an exponential of a linear form (including trigonometric polynomials) or an exponential of a quadratic form. Laplace transform techniques allow us to obtain either a closed form expression, or a series representation that can be handled...
Special exact curved finite elements useful for solving contact problems of the second order in domains boundaries of which consist of a finite number of circular ares and a finite number of line segments are introduced and the interpolation estimates are proved.
Currently displaying 81 –
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