Adds in dgplate : 1) Non linear solver (Newton-Raphson) 2) cohesive law

(fracture in bending OK) 3) lua version of code 4) a test case with 3rd
order quadrilateral element. 
Some modifications are made in linearSystem (add a function to compute
norm of RightHandSide) and in dofManager (add a function to have the
fixed dof outside dofManager)

Solver/dofManager.h

@@ -82,7 +82,7 @@ class dofManager{
  public:
   typedef typename dofTraits<T>::VecType dataVec;
   typedef typename dofTraits<T>::MatType dataMat;
- private:
+ protected:
   // general affine constraint on sub-blocks, treated by adding
   // equations:
 
@@ -301,7 +301,7 @@ class dofManager{
     }
   }
 
-  inline void assemble(std::vector<Dof> &R, const fullVector<dataMat> &m) // for linear forms
+  virtual inline void assemble(std::vector<Dof> &R, const fullVector<dataMat> &m) // for linear forms
   {
     if (!_current->isAllocated()) _current->allocate(unknown.size());
     std::vector<int> NR(R.size());
@@ -335,7 +335,7 @@ class dofManager{
   }
 
 
-  inline void assemble(std::vector<Dof> &R, const fullMatrix<dataMat> &m)
+  virtual inline void assemble(std::vector<Dof> &R, const fullMatrix<dataMat> &m)
   {
     if (!_current->isAllocated()) _current->allocate(unknown.size());
     std::vector<int> NR(R.size());
@@ -487,6 +487,13 @@ class dofManager{
       }
     }
   }
-
+  void getFixedDof(std::vector<Dof> &R){
+    R.reserve(fixed.size());
+    std::map<Dof, double>::iterator it; // template problem ?? //TODO
+    for(it=fixed.begin(); it!=fixed.end();++it){
+      R.push_back((*it).first);
+    }
+  }
 };
+
 #endif

Solver/linearSystem.h

@@ -27,6 +27,7 @@ class linearSystem {
   virtual void zeroRightHandSide() = 0;
   virtual int systemSolve() = 0;
   static void registerBindings (binding*);
+  virtual double normInfRightHandSide() const = 0;
 };
 
 #endif

Solver/linearSystemCSR.h

@@ -113,6 +113,17 @@ class linearSystemCSR : public linearSystem<scalar> {
   {
     for(unsigned int i = 0; i < _b->size(); i++) (*_b)[i] = 0.;
   }
+  virtual double normInfRightHandSide() const{
+    double nor = 0.;
+    double temp;
+    for(int i=0;i<_b->size();i++){
+      temp = (*_b)[i];
+      if(temp<0) temp = -temp;
+      if(nor<temp) nor=temp;
+
+    }
+    return nor;
+  }
 };
 
 template <class scalar>

Solver/linearSystemFull.h

@@ -70,6 +70,16 @@ class linearSystemFull : public linearSystem<scalar> {
   {
     for(int i = 0; i < _b->size(); i++) (*_b)(i) = 0.;
   }
+  virtual double normInfRightHandSide() const{
+    double nor = 0.;
+    double temp;
+    for(int i=0;i<_b->size();i++){
+      temp = (*_b)(i);
+      if(temp<0) temp = -temp;
+      if(nor<temp) nor=temp;
+    }
+    return nor;
+  }
   virtual int systemSolve()
   {
     if (_b->size())

Solver/linearSystemGMM.h

@@ -77,6 +77,17 @@ class linearSystemGmm : public linearSystem<scalar> {
   {
     for(unsigned int i = 0; i < _b->size(); i++) (*_b)[i] = 0.;
   }
+  virtual double normInfRightHandSide() const {
+    double nor = 0.;
+    double temp;
+    for(int i=0;i<_b->size();i++){
+      temp = (*_b)[i];
+      if(temp<0) temp = -temp;
+      if(nor<temp) nor=temp;
+    }
+    return nor;
+  }
+
   void setPrec(double p){ _prec = p; }
   void setNoisy(int n){ _noisy = n; }
   void setGmres(int n){ _gmres = n; }

Solver/linearSystemPETSc.h

@@ -105,6 +105,12 @@ class linearSystemPETSc : public linearSystem<scalar> {
 #else
     val = s;
 #endif
+  }
+  virtual double normInfRightHandSide() const {
+  PetscScalar nor;
+  _try(VecNorm(_b,NORM_INFINITY,&nor));
+  return nor;
+
   }
   virtual void addToMatrix(int row, int col, const scalar &val)
   {