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A priori and a posteriori error estimates for the Deep Ritz method applied to the Laplace and Stokes problem

Piotr Minakowski, Thomas Richter

2022Journal of Computational and Applied Mathematics18 citationsDOI

Topics & Concepts

MathematicsEstimatorPartial differential equationA priori and a posterioriLaplace transformApplied mathematicsFinite element methodArtificial neural networkResidualLaplace's equationMathematical optimizationMathematical analysisAlgorithmComputer scienceArtificial intelligenceStatisticsThermodynamicsEpistemologyPhilosophyPhysicsModel Reduction and Neural NetworksAdvanced Numerical Methods in Computational MathematicsNumerical methods in engineering
A priori and a posteriori error estimates for the Deep Ritz method applied to the Laplace and Stokes problem | Litcius