From the 1 of 668 papers with an AI index.
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12 papers · 2 filters
Error estimates and variance reduction for nonequilibrium stochastic dynamics
Gabriel Stoltz
Equilibrium properties in statistical physics are obtained by computing averages with respect to Boltzmann-Gibbs measures, sampled in practice using ergodic dynamics such as the La…
-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem
Zhaonan Dong, Lorenzo Mascotto
We prove -optimal error estimates for interior penalty discontinuous Galerkin methods (IPDG) for the biharmonic problem with homogeneous essential boundary conditions. We consi…
Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods
Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll +1
Multiscale Finite Element Methods (MsFEMs) are now well-established finite element type approaches dedicated to multiscale problems. They first compute local, oscillatory, problem-…
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis
Gregor Gantner, Martin Vohralík
We consider isogeometric discretizations of the Poisson model problem, focusing on high polynomial degrees and strong hierarchical refinements. We derive a posteriori error estimat…
Numerical stability and efficiency of response property calculations in density functional theory
Eric Cancès, Michael F. Herbst, Gaspard Kemlin +2
Response calculations in density functional theory aim at computing the change in ground-state density induced by an external perturbation. At finite temperature these are usually…
Improved rates for a space-time FOSLS of parabolic PDEs
Gregor Gantner, Rob Stevenson
We consider the first-order system space-time formulation of the heat equation introduced in [Bochev, Gunzburger, Springer, New York (2009)], and analyzed in [Führer, Karkulik, Com…