Well-Posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian Noises

DOI10.4208/cmr.2020-0006zbMath1463.65392arXiv1510.01873OpenAlexW2585564566MaRDI QIDQ5142964

Yanzhao Cao, Jialin Hong, Zhihui Liu

Publication date: 14 January 2021

Published in: Communications in Mathematical Research (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01873

zbMATH Keywords

finite element approximationsspectral approximationspower-law noiseelliptic stochastic partial differential equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) White noise theory (60H40) PDEs with randomness, stochastic partial differential equations (35R60) Semilinear elliptic equations (35J61) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (3)

An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven by Additive White Noises ⋮ Unnamed Item ⋮ Stabilized IMLS based element free Galerkin method for stochastic elliptic partial differential equations

This page was built for publication: Well-Posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian Noises