Niklas Sapountzoglou

activity

20192026

most citedA nonlinear stochastic diffusion-convection equation with reflection

1 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

math.NA2026

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

Niklas Sapountzoglou, Aleksandra Zimmermann

We study the properties of a fully discrete numerical scheme for the stochastic Allen-Cahn problem with constraint on a bounded polygonal domain in two or three dimensions with hom…

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.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.AP2024★ 1 cited

A nonlinear stochastic diffusion-convection equation with reflection

Niklas Sapountzoglou, Yassine Tahraoui, Guy Vallet +1

We study a nonlinear, pseudomonotone, stochastic diffusion-convection evolution problem on a bounded spatial domain, in any space dimension, with homogeneous boundary conditions an…

math.NA2024

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.PR2023★ 1 cited

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.AP2021

Renormalized solutions for stochastic $p$ -Laplace equations with $L^{1}$ -initial data: The multiplicative case

Niklas Sapountzoglou, Aleksandra Zimmermann

We consider a $p$ -Laplace evolution problem with multiplicative noise on a bounded domain $D \subset R^{d}$ with homogeneous Dirichlet boundary conditions for $1 < p < \infty$ .…

math.AP2019

Well-posedness of renormalized solutions for a stochastic $p$ -Laplace equation with $L^{1}$ -initial data

Niklas Sapountzoglou, Aleksandra Zimmermann

We consider a $p$ -Laplace evolution problem with stochastic forcing on a bounded domain $D \subset R^{d}$ with homogeneous Dirichlet boundary conditions for $1 < p < \infty$ . The…

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

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

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

A nonlinear stochastic diffusion-convection equation with reflection

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

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

Renormalized solutions for stochastic p-Laplace equations with L1-initial data: The multiplicative case

Well-posedness of renormalized solutions for a stochastic p-Laplace equation with L1-initial data

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

Renormalized solutions for stochastic $p$ -Laplace equations with $L^{1}$ -initial data: The multiplicative case

Well-posedness of renormalized solutions for a stochastic $p$ -Laplace equation with $L^{1}$ -initial data