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On the monotonicity and discrete maximum principle of the finite difference implementation of $$C^0$$-$$Q^2$$ finite element method

Hao Li, Xiangxiong Zhang

2020Numerische Mathematik34 citationsDOI

Topics & Concepts

MathematicsNabla symbolFinite element methodTensor productMonotone polygonQuadratic equationScalar (mathematics)Mathematical analysisMonotonic functionMaximum principleMixed finite element methodBasis (linear algebra)Finite difference coefficientApplied mathematicsPure mathematicsMathematical optimizationGeometryOptimal controlThermodynamicsQuantum mechanicsPhysicsOmegaAdvanced Numerical Methods in Computational MathematicsNumerical methods for differential equationsElectromagnetic Simulation and Numerical Methods
On the monotonicity and discrete maximum principle of the finite difference implementation of $C^0$-$Q^2$ finite element method | Litcius