Niklas Sapountzoglou

activity

20242026

collaborators

6 papers

math.NA2026

Study of a TPFA scheme for the stochastic Allen-Cahn problem with constraint through numerical experiments

Niklas Sapountzoglou, Aleksandra Zimmermann

This contribution provides numerical experiments for a finite volume scheme for an approximation of the stochastic Allen-Cahn equation with homogeneous Neumann boundary conditions.…

math.NA2025

Convergence rates for a finite volume scheme of a stochastic non-linear parabolic equation

Kavin Rajasekaran, Niklas Sapountzoglou

In this contribution, we provide convergence rates for a finite volume scheme of a stochastic non-linear parabolic equation with multiplicative Lipschitz noise and homogeneous Neum…

math.PR2025

Stochastic pseudomonotone parabolic obstacle problem: well-posedness $&$ Lewy-Stampacchia's inequalities

Niklas Sapountzoglou, Yassine Tahraoui, Guy Vallet +1

We consider obstacle problems for nonlinear stochastic evolution equations. More precisely, the leading operator in our equation is a nonlinear, second order pseudomonotone operato…

math.AP2025

Uniqueness results of a nonlinear stochastic diffusion-convection equation with reflection

Niklas Sapountzoglou

We are interested in the uniqueness of solutions of a nonlinear, pseudomonotone, stochastic diffusion evolution problem with homogeneous Dirichlet boundary conditions with reflecti…

math.NA2025

Convergence rates for a finite volume scheme of the stochastic heat equation

Niklas Sapountzoglou, Aleksandra Zimmermann

In this contribution, we provide convergence rates for a finite volume scheme of the stochastic heat equation with multiplicative Lipschitz noise and homogeneous Neumann boundary c…

math.AP2024

A nonlinear stochastic diffusion-convection equation with reflection