using System; using Science.Mathematics; using L=Science.Mathematics.PartialDifferentialEquation; namespace ScienceTest.MathematicsTest.PartialDifferentialEquationTest { ///

/// LaplaceEquationTwoDimensionTest ///

public class LaplaceEquation2DTest { public LaplaceEquation2DTest() { } private string result; public string Result { get{return result;} } public void Compute() { Function.ToLastType[] cf = new Function.ToLastType[2]; cf[0] = new Function.ToLastType(InnerCircle); cf[1] = new Function.ToLastType(OuterCircle); L.Domain2D xd = new L.Domain2D(); xd.ConditionFunctionsLessThanZero = cf; xd.LowerBoundOfX = -1.0; xd.LowerBoundOfY = -1.0; xd.UpperBoundOfX = 1.0; xd.UpperBoundOfY = 1.0; L.LaplaceEquation2D eq = new L.LaplaceEquation2D(); eq.MeshSize = 1.0/32.0; eq.JacobiRadius = Math.Cos(Math.PI/65.0); eq.Domain = xd; eq.SetBoundaryValue(-0.11,-0.11,0.11,0.11,0.0); eq.SetBoundaryValue(-1.12,-1.12,1.12,-0.2,10.0); eq.SetBoundaryValue(-1.12,-1.12,-0.2,1.12,10.0); eq.SetBoundaryValue(0.2,-1.12,1.12,1.12,10.0); eq.SetBoundaryValue(-1.12,0.2,1.12,1.12,10.0); eq.Solve(); for(int i = 0; i < eq.Solution.GetLength(0); i++) { for(int j = 0; j < eq.Solution.GetLength(1)-1; j++) result += Convert.ToString(eq.Solution[i,j])+"\t"; result += Convert.ToString(eq.Solution[i,eq.Solution.GetLength(1)-1])+"\r\n"; } } private double InnerCircle(double x, double y) { return -x*x-y*y+0.1*0.1; } private double OuterCircle(double x, double y) { return x*x+y*y-0.8*0.8; } } } /* 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9.89370753331465 9.85087955662721 9.83020368253781 9.81914868310189 9.81349153271605 9.81173295983165 9.81349153271604 9.81914868310189 9.83020368253781 9.85087955662721 9.89370753331464 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9.88434222412787 9.8288698121604 9.78579424558763 9.72395057538594 9.67960700972654 9.65078648725905 9.6328995145432 9.62308448759072 9.61994877380227 9.62308448759072 9.6328995145432 9.65078648725905 9.67960700972654 9.72395057538594 9.78579424558763 9.8288698121604 9.88434222412786 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9.89299611580917 9.83478210692171 9.78395790371584 9.70849908417253 9.64534278123863 9.5903565934913 9.53669351459826 9.49281141793249 9.46043574498949 9.43857840225114 9.42599812908127 9.42189315531685 9.42599812908127 9.43857840225113 9.46043574498949 9.49281141793249 9.53669351459826 9.5903565934913 9.64534278123863 9.70849908417252 9.78395790371583 9.83478210692172 9.89299611580917 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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