Zobrazeno 1 - 10
of 418
pro vyhledávání: '"Max D. Gunzburger"'
Publikováno v:
Numerical Methods for Partial Differential Equations. 38:1618-1635
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 31:1505-1567
The implementation of finite element methods (FEMs) for nonlocal models with a finite range of interaction poses challenges not faced in the partial differential equations (PDEs) setting. For example, one has to deal with weak forms involving double
Publikováno v:
Quarterly Journal of the Royal Meteorological Society. 147:1477-1496
Autor:
Olena Burkovska, Max D. Gunzburger
Publikováno v:
SIAM Journal on Numerical Analysis. 58:1469-1494
We consider parametrized problems driven by spatially nonlocal integral operators with parameter-dependent kernels. In particular, kernels with varying nonlocal interaction radius $\delta > 0$ and ...
Autor:
Olena Burkovska, Max D. Gunzburger
Publikováno v:
Journal of Mathematical Analysis and Applications. 478:1027-1048
We consider linear and obstacle problems driven by a nonlocal integral operator, for which nonlocal interactions are restricted to a ball of finite radius. These types of operators are used to model anomalous diffusion and, for a special choice of th
Publikováno v:
Numerical Algorithms. 84:181-205
The weak Galerkin form of the finite element method, requiring only C0 basis function, is applied to the biharmonic equation. The computational procedure is thoroughly considered. Local orthogonal bases on triangulations are constructed using various
Publikováno v:
Mathematics of Computation. 88:2187-2219
Publikováno v:
IMA Journal of Numerical Analysis. 40:886-913
Partial differential equations (PDEs) are often dependent on input quantities which are inherently uncertain. To quantify this uncertainty, these PDEs must be solved over a large ensemble of parameters. Even for a single realization this can a comput
Autor:
Wenju Zhao, Max D. Gunzburger
Publikováno v:
SIAM Journal on Scientific Computing. 41:A2579-A2602
We systematically consider the stochastic Navier--Stokes equations with temporal-spatial correlated and uncorrelated noises for given autocovariances. In particular, for temporal colored noise, ran...
Autor:
Max D. Gunzburger, Jilu Wang
Publikováno v:
SIAM Journal on Control and Optimization. 57:241-263
The optimality system is derived for an optimal control problem governed by a time-fractional PDE. A fully discrete finite element method along with convolution quadrature for time discretization a...