protected virtual void AddSecondBoundary(IMatrix A, double[] b, SecondBoundaryEdge edge)
{
Func <double, double, double, double> thetatime = edge.Theta;
Func <double, double, double> theta = (double x, double y) => thetatime(x, y, 0);
Point p1 = info.Mesh.Points[edge[0]];
Point p2 = info.Mesh.Points[edge[edge.NodeCount - 1]];
double x0 = p1.X;
double y0 = p1.Y;
double x1 = p2.X;
double y1 = p2.Y;
double h = Point.Distance(p1, p2);
for (int i = 0; i < info.BoundaryBasis.Size; i++)
{
b[edge[i]] += h * Quadratures.NewtonCotes(0.0, 1.0, (double ksi) => theta(x0 + ksi * (x1 - x0), y0 + ksi * (y1 - y0)) * boundaryPsi[i](ksi));
}
}
static Mesh LoadMesh(
string pointsFile,
string elementsFile,
string firstBoundaryFile,
string secondBoundaryFile,
string thirdBoundaryFile,
ProblemInfo info,
IMeshBuilder builder)
{
// Points Parsing --------------------------------------------------------
string[] lines = File.ReadAllLines(pointsFile);
int pointCount = int.Parse(lines[0]);
Point[] points = new Point[pointCount];
for (int i = 0; i < pointCount; i++)
{
points[i] = Point.Parse(lines[i + 1]);
}
// -----------------------------------------------------------------------
// Elements Parsing ------------------------------------------------------
lines = File.ReadAllLines(elementsFile);
int elementsCount = int.Parse(lines[0]);
List <FiniteElement> elements = new List <FiniteElement>();
for (int i = 0; i < elementsCount; i++)
{
FiniteElement e = new FiniteElement(info.Basis.Size);
string[] tokens = lines[i + 1].Split(' ');
e.Vertices[0] = int.Parse(tokens[0]) - 1;
e.Vertices[1] = int.Parse(tokens[1]) - 1;
e.Vertices[2] = int.Parse(tokens[2]) - 1;
e.Material = info.MaterialDictionary[int.Parse(tokens[3])];
elements.Add(e);
}
// -----------------------------------------------------------------------
// First Boundary Parsing ------------------------------------------------
lines = File.ReadAllLines(firstBoundaryFile);
int firstBoundaryCount = int.Parse(lines[0]);
List <FirstBoundaryEdge> firstBondary = new List <FirstBoundaryEdge>();
for (int i = 0; i < firstBoundaryCount; i++)
{
FirstBoundaryEdge e = new FirstBoundaryEdge(info.BoundaryBasis.Size);
string[] tokens = lines[i + 1].Split(' ');
e.Vertices[0] = int.Parse(tokens[0]) - 1;
e.Vertices[info.BoundaryBasis.Size - 1] = int.Parse(tokens[1]) - 1;
e.F = info.FirstBoundaryDictionary[int.Parse(tokens[2])];
firstBondary.Add(e);
}
// -----------------------------------------------------------------------
// Second Boundary Parsing -----------------------------------------------
lines = File.ReadAllLines(secondBoundaryFile);
int secondBoundaryCount = int.Parse(lines[0]);
List <SecondBoundaryEdge> secondBondary = new List <SecondBoundaryEdge>();
for (int i = 0; i < secondBoundaryCount; i++)
{
SecondBoundaryEdge e = new SecondBoundaryEdge(info.BoundaryBasis.Size);
string[] tokens = lines[i + 1].Split(' ');
e.Vertices[0] = int.Parse(tokens[0]) - 1;
e.Vertices[info.BoundaryBasis.Size - 1] = int.Parse(tokens[1]) - 1;
e.Theta = info.SecondBoundaryDictionary[int.Parse(tokens[2])];
secondBondary.Add(e);
}
// -----------------------------------------------------------------------
// Third Boundary Parsing ------------------------------------------------
lines = File.ReadAllLines(thirdBoundaryFile);
int thirdBoundaryCount = int.Parse(lines[0]);
List <ThirdBoundaryEdge> thirdBondary = new List <ThirdBoundaryEdge>();
for (int i = 0; i < thirdBoundaryCount; i++)
{
ThirdBoundaryEdge e = new ThirdBoundaryEdge(info.BoundaryBasis.Size);
string[] tokens = lines[i + 1].Split(' ');
e.Vertices[0] = int.Parse(tokens[0]) - 1;
e.Vertices[info.BoundaryBasis.Size - 1] = int.Parse(tokens[1]) - 1;
int boundaryNo = int.Parse(tokens[2]);
e.UBeta = info.ThirdBoundaryDictionary[boundaryNo].ubeta;
e.Beta = info.ThirdBoundaryDictionary[boundaryNo].beta;
thirdBondary.Add(e);
}
// -----------------------------------------------------------------------
builder.AddPoints(points);
builder.AddElements(elements);
builder.AddFirstBoundary(firstBondary);
builder.AddSecondBoundary(secondBondary);
builder.AddThirdBoundary(thirdBondary);
return(builder.Build());
}