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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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SIAMNUM
2010
178views more  SIAMNUM 2010»
13 years 2 months ago
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Long Chen
FOCM
2010
100views more  FOCM 2010»
13 years 6 months ago
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series
We show how B-series may be used to derive in a systematic way the analytical expressions of the high-order stroboscopic averaged equations that approximate the slow dynamics of h...
P. Chartier, A. Murua, J. M. Sanz-Serna
MOC
2002
92views more  MOC 2002»
13 years 7 months ago
Error indicators for the mortar finite element discretization of the Laplace equation
The mortar technique turns out to be well adapted to handle mesh adaptivity in finite elements, since it allows for working with nonnecessarily compatible discretizations on the el...
Christine Bernardi, Frédéric Hecht
SIAMSC
2010
145views more  SIAMSC 2010»
13 years 2 months ago
An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
We present a new "hp" parameter multi-domain certified reduced basis method for rapid and reliable online evaluation of functional outputs associated with parametrized el...
Jens L. Eftang, Anthony T. Patera, Einar M. R&osla...
IJCM
2010
108views more  IJCM 2010»
13 years 5 months ago
Lifting solutions of quasilinear convection-dominated problems
The steady state of the quasilinear convection-diffusion-reaction equation ut − (D(u) u) + b(u) u + c(u) = 0 (1) is studied. Depending on the ratio between convection and diff...
J. A. Ferreira, A. P. Mouro, P. Oliveira