Combined error estimates for local fluctuations of SPDEs
نویسندگان
چکیده
منابع مشابه
Error Estimates from Local Rademacher Averages
Rademacher averages have been proposed as data-dependent estimates of error in pattern classification and regression problems. While they exploit information about the probability distribution that generates the data, they give pessimistic estimates in many cases. For instance, when zero error is possible, these estimates have a suboptimal convergence rate. We investigate the use of local Radem...
متن کاملLocal Error Estimates for Discontinuous Solutionsof Nonlinear Hyperbolic
Let u(x; t) be the possibly discontinuous entropy solution of a nonlinear scalar conservation law with smooth initial data. Suppose u"(x; t) is the solution of an approximate viscosity regularization, where " > 0 is the small viscosity amplitude. We show that by post-processing the small viscosity approximation u", we can recover pointwise values of u and its derivatives with an error as close ...
متن کاملSharply local pointwise a posteriori error estimates for parabolic problems
We prove pointwise a posteriori error estimates for semiand fullydiscrete finite element methods for approximating the solution u to a parabolic model problem. Our estimates may be used to bound the finite element error ‖u−uh‖L∞(D), where D is an arbitrary subset of the space-time domain of definition of the given PDE. In contrast to standard global error estimates, these estimators de-emphasiz...
متن کاملGaussian Upper Density Estimates for Spatially Homogeneous Spdes
We consider a general class of SPDEs in R driven by a Gaussian spatially homogeneous noise which is white in time. We provide sufficient conditions on the coefficients and the spectral measure associated to the noise ensuring that the density of the corresponding mild solution admits an upper estimate of Gaussian type. The proof is based on the formula for the density arising from the integrati...
متن کاملError estimates for mixed methods
— This paper présents abstract error estimâtes for mixed methods for the approximate solution of elliptic boundary value problems. These estimâtes are then applied to obtain quasi-optimal error estimâtes in the usual Sobolev norms for four examples: three mixed methods for the biharmonic problem and a mixed method for second order elliptic problems. Resumé. Dans cet article, on présente des est...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Computational Mathematics
سال: 2020
ISSN: 1019-7168,1572-9044
DOI: 10.1007/s10444-020-09766-2