A geometric discretization and a simple implementation for variational mesh generation and adaptation

摘要: We present a simple direct discretization for functionals used in the variational mesh generation and adaptation. Meshing are discretized on simplicial meshes Jacobian matrix of continuous coordinate transformation is approximated by matrices affine mappings between elements. The advantage this geometric that it preserves basic structure functional, which useful preventing strong decoupling or loss integral constraints satisfied functional. Moreover, functional function coordinates vertices its derivatives have analytical form, allows implementation adaptation computer. Since base number adaptive moving smoothing methods, result work can be to develop implementations those methods. Numerical examples given.