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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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SIAMNUM
2011
108views more  SIAMNUM 2011»
14 years 7 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»
14 years 7 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...
97
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MOC
2010
14 years 7 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
124
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SIAMSC
2008
134views more  SIAMSC 2008»
14 years 12 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
121
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SIAMSC
2010
157views more  SIAMSC 2010»
14 years 10 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...