Example #1
0
        protected override void CreateEquationsAndSolvers(GridUpdateDataVaultBase L)
        {
            using (FuncTrace tr = new FuncTrace()) {
                // assemble system, create matrix
                // ------------------------------

                var volQrSch = new CellQuadratureScheme(true, CellMask.GetFullMask(this.GridData));
                var edgQrSch = new EdgeQuadratureScheme(true, EdgeMask.GetFullMask(this.GridData));

                double D              = this.GridData.SpatialDimension;
                double penalty_base   = (T.Basis.Degree + 1) * (T.Basis.Degree + D) / D;
                double penalty_factor = base.Control.penalty_poisson;

                {
                    // equation assembly
                    // -----------------
                    tr.Info("creating sparse system...");
                    Console.WriteLine("creating sparse system for {0} DOF's ...", T.Mapping.Ntotal);
                    Stopwatch stw = new Stopwatch();
                    stw.Start();

                    SpatialOperator LapaceIp = new SpatialOperator(1, 1, QuadOrderFunc.SumOfMaxDegrees(), "T", "T");
                    var             flux     = new ipFlux(penalty_base * base.Control.penalty_poisson, this.GridData.Cells.cj, base.Control);
                    LapaceIp.EquationComponents["T"].Add(flux);


                    LapaceIp.Commit();

#if DEBUG
                    var RefLaplaceMtx = new MsrMatrix(T.Mapping);
#endif
                    LaplaceMtx    = new BlockMsrMatrix(T.Mapping);
                    LaplaceAffine = new double[T.Mapping.LocalLength];

                    LapaceIp.ComputeMatrixEx(T.Mapping, null, T.Mapping,
                                             LaplaceMtx, LaplaceAffine,
                                             volQuadScheme: volQrSch, edgeQuadScheme: edgQrSch);
#if DEBUG
                    LaplaceAffine.ClearEntries();
                    LapaceIp.ComputeMatrixEx(T.Mapping, null, T.Mapping,
                                             RefLaplaceMtx, LaplaceAffine,
                                             volQuadScheme: volQrSch, edgeQuadScheme: edgQrSch);
                    MsrMatrix ErrMtx = RefLaplaceMtx.CloneAs();
                    ErrMtx.Acc(-1.0, LaplaceMtx);
                    double err    = ErrMtx.InfNorm();
                    double infNrm = LaplaceMtx.InfNorm();
                    Console.WriteLine("Matrix comparison error: " + err + ", matrix norm is: " + infNrm);
                    Assert.Less(err, infNrm * 1e-10, "MsrMatrix2 comparison failed.");
#endif
                    //int q = LaplaceMtx._GetTotalNoOfNonZeros();
                    //tr.Info("finished: Number of non-zeros: " + q);
                    stw.Stop();
                    Console.WriteLine("done {0} sec.", stw.Elapsed.TotalSeconds);


                    //double condNo = LaplaceMtx.condest(BatchmodeConnector.Flavor.Octave);
                    //Console.WriteLine("condition number: {0:0.####E-00} ",condNo);
                }
            }
        }