Residual-based<i>a posteriori</i>error estimates of mixed methods for a three-field Biot’s consolidation model
Yuwen Li, Ludmil Zikatanov
Abstract
Abstract We present residual-based a posteriori error estimates of mixed finite element methods for the three-field formulation of Biot’s consolidation model. The error estimator are upper and lower bounds of the space-time discretization error up to data oscillation. As a by-product, we also obtain a new a posteriori error estimate of mixed finite element methods for the heat equation.
Topics & Concepts
Biot numberMathematicsEstimatorDiscretizationA priori and a posterioriFinite element methodResidualConsolidation (business)Applied mathematicsMathematical analysisAlgorithmStatisticsMechanicsThermodynamicsPhysicsPhilosophyEpistemologyBusinessAccountingAdvanced Numerical Methods in Computational MathematicsElectromagnetic Simulation and Numerical MethodsNumerical methods in engineering