Space-Time Approximation of Stochastic $p$-Laplace-Type Systems

DOI10.1137/20M1334310zbMath1496.65156arXiv1904.03134OpenAlexW3185951691MaRDI QIDQ5009345

Sébastien Loisel, Dominic Breit, Martina Hofmanová

Publication date: 20 August 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03134

zbMATH Keywords

finite element methodsspace-time discretizationparabolic stochastic PDEsnonlinear Laplace-type systems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Error bounds for boundary value problems involving PDEs (65N15) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear parabolic equations with (p)-Laplacian (35K92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Error estimates of the backward Euler-Maruyama method for multi-valued stochastic differential equations, Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise, Temporal regularity of symmetric stochastic \(p\)-Stokes systems, On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems, An averaged space-time discretization of the stochastic \(p\)-Laplace system, Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: the Dirichlet problem

Uses Software

• CVX
• Mosek

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