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MOC
2000
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13 years 11 months ago
A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature
We treat the time discretization of an initial-value problem for a ous abstract parabolic equation by first using a representation of the solution as an integral along the boundary...
Dongwoo Sheen, Ian H. Sloan, Vidar Thomée
SIAMSC
2008
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13 years 11 months ago
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
In this paper, we develop an error estimator and an adaptive algorithm for efficient solution of parabolic partial differential equations. The error estimator assesses the discreti...
Michael Schmich, Boris Vexler
CDC
2009
IEEE
14 years 4 months ago
Dynamic practical stabilization of sampled-data linear distributed parameter systems
Abstract— In this paper, dynamic practical stability properties of infinite-dimensional sampled-data systems are discussed. A family of finite-dimensional discrete-time control...
Ying Tan, Emmanuel Trélat, Yacine Chitour, ...