Maximum-Principle-Preserving Local Discontinuous Galerkin Methods for Allen-Cahn Equations
Jie Du, Eric T. Chung, Yang Yang
Topics & Concepts
Discontinuous Galerkin methodPolygon meshMathematicsMaximum principleStability (learning theory)Allen–Cahn equationApplied mathematicsCahn–Hilliard equationFunction (biology)Energy (signal processing)Galerkin methodFinite element methodMathematical analysisComputer sciencePartial differential equationMathematical optimizationGeometryPhysicsBiologyStatisticsMachine learningEvolutionary biologyOptimal controlThermodynamicsAdvanced Numerical Methods in Computational MathematicsDifferential Equations and Numerical MethodsSolidification and crystal growth phenomena