Numerical analysis of the Allen–Cahn equation on non-uniform cell sizes
Binhu Xia, Kun Wang, Yunjae Nam, Zhengang Li, Xinpei Wu, Soobin Kwak, Jun Ma, Junseok Kim
Topics & Concepts
DiscretizationInterpolation (computer graphics)Stability (learning theory)GridNumerical stabilityAdaptive mesh refinementNumerical analysisInterface (matter)Mathematical optimizationApplied mathematicsMathematicsAlgorithmComputer scienceFinite differenceFinite difference methodDegrees of freedom (physics and chemistry)Tracking (education)Backward Euler methodRegular gridEuler methodFinite element methodOrder of accuracySimplicityScheme (mathematics)Convergence (economics)Euler's formulaVariable (mathematics)Partial differential equationPath (computing)Grid method multiplicationSolidification and crystal growth phenomenaNonlinear Dynamics and Pattern FormationAdvanced Mathematical Modeling in Engineering