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9 papers · 2 filters
Strong Approximation of Monotone Stochastic Partial Differential Equations Driven by Multiplicative Noise
Zhihui Liu, Zhonghua Qiao
We establish a general theory of optimal strong error estimation for numerical approximations of a second-order parabolic stochastic partial differential equation with monotone dri…
Numerical Approximation of Stochastic Time-Fractional Diffusion
Bangti Jin, Yubin Yan, Zhi Zhou
We develop and analyze a numerical method for stochastic time-fractional diffusion driven by additive fractionally integrated Gaussian noise. The model involves two nonlocal terms…
Subdiffusion with a time-dependent coefficient: analysis and numerical solution
Bangti Jin, Buyang Li, Zhi Zhou
In this work, a complete error analysis is presented for fully discrete solutions of the subdiffusion equation with a time-dependent diffusion coefficient, obtained by the Galerkin…
Analysis of fully discrete FEM for miscible displacement in porous media with Bear--Scheidegger diffusion tensor
Wentao Cai, Buyang Li, Yanping Lin +1
Fully discrete Galerkin finite element methods are studied for the equations of miscible displacement in porous media with the commonly-used Bear--Scheidegger diffusion-dispersion…
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
Bangti Jin, Raytcho Lazarov, Zhi Zhou
Over the past few decades, there has been substantial interest in evolution equations that involving a fractional-order derivative of order in time, due to their many s…
A Fixed Mesh Method With Immersed Finite Elements for Solving Interface Inverse Problems
Ruchi Guo, Tao Lin, Yanping Lin
We present a new fixed mesh algorithm for solving a class of interface inverse problems for the typical elliptic interface problems. These interface inverse problems are formulated…