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SIAMNUM
2011
108views more  SIAMNUM 2011»
13 years 2 months ago
A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations
We introduce a new mixed method for the biharmonic problem. The method is based on a formulation where the biharmonic problem is re-written as a system of four first-order equatio...
Edwin M. Behrens, Johnny Guzmán
SIAMNUM
2011
252views more  SIAMNUM 2011»
13 years 2 months ago
Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations
We develop and analyze least-squares finite element methods for two complementary div-curl elliptic boundary value problems. The first one prescribes the tangential component of ...
Pavel B. Bochev, Kara Peterson, Christopher M. Sie...
MOC
2010
13 years 2 months ago
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
In this paper, a Jacobi-collocation spectral method is developed for Volterra integral equations of the second kind with a weakly singular kernel. We use some function transformati...
Yanping Chen, Tao Tang
SIAMSC
2008
134views more  SIAMSC 2008»
13 years 6 months ago
Efficient Solution of Anisotropic Lattice Equations by the Recovery Method
In a recent paper, the authors introduced the recovery method resp. local energy matching principle for solving large systems of lattice equations. The idea is to construct a part...
Ivo Babuska, S. A. Sauter
SIAMSC
2010
157views more  SIAMSC 2010»
13 years 5 months ago
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
We propose certified reduced basis methods for the efficient and reliable evaluation of a general output that is implicitly connected to a given parameterized input through the ha...
Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jer&oac...