ord_laplace

Define the approximation order for Laplace approximation using the MESHFREE least-squares differential operators. The order will be reduced or increased automatically if deemed necessary. The differential operators are introduced in DOCUMATH_DifferentialOperators.pdf, see especially section 2.2 for statements about the approximation order. Default: ord_laplace = 3 Special option (currently experimental): In this case, the Neumann operator (for boundary conditions of type %BND_NEUMANN% ) will have only 9 (instead of 10) ansatz functions: 1, xn, xa, xb, xa^2, xa*xb, xb^2, xn*xa, xn*xb . The function xn^2 is omitted for stability reasons. Here,

• xn = local coordinate in normal direction
• xa = local coordinate in the first tangential direction
• xb = local coordinate in the second tangential direction

IMPORTANT : the only control currently is the warnings-file to document the usage of 2.9. In .common_variable_CompleteConfiguration the value will be reported as ord_laplace = 3.0 The appropriate entry in the warnings file will be: ------------------------------------------------------------ Warning # iii Neumann operator order=3 :: reduce number of ansatz functions to nCond = 9 starting from time = _currentTime_ timeStepIndex = _currentIndex_ ------------------------------------------------------------