Discontinuous Galerkin method for the coupled Stokes‐Biot model
Jing Wen, Jian Su, Yinnian He, Hongbin Chen
Abstract
Abstract In this paper, a semi‐discrete scheme and a fully discrete scheme of the Stokes‐Biot model are proposed, and we analyze the semi‐discrete scheme in detail. First of all, we prove the existence and uniqueness of the semi‐discrete scheme, and a‐priori error estimates are derived. Then, we present the same conclusions for the fully discrete scheme. Finally, under both matching and non‐matching meshes some numerical tests are given to validate the analysis of convergence, which well support the theoretical results.
Topics & Concepts
MathematicsBiot numberPolygon meshScheme (mathematics)UniquenessApplied mathematicsConvergence (economics)Stokes problemA priori and a posterioriMatching (statistics)Discontinuous Galerkin methodGalerkin methodMathematical analysisFinite element methodGeometryMechanicsEconomicsPhysicsThermodynamicsStatisticsPhilosophyEconomic growthEpistemologyAdvanced Numerical Methods in Computational MathematicsComputational Fluid Dynamics and AerodynamicsAdvanced Mathematical Modeling in Engineering