High-order, unconditionally maximum-principle preserving finite element method for the Allen–Cahn equation
Jun Yang, Nianyu Yi, Hong Zhang
Topics & Concepts
MathematicsDiscretizationFinite element methodConservation lawConservation of massApplied mathematicsRunge–Kutta methodsConservation of energyNumerical analysisMaximum principleSpace (punctuation)Flux limiterStability (learning theory)Energy conservationMathematical analysisMathematical optimizationComputer scienceOptimal controlOperating systemPhysicsBiologyQuantum mechanicsEcologyMachine learningThermodynamicsSolidification and crystal growth phenomenaDifferential Equations and Numerical MethodsFluid Dynamics and Thin Films