A new cloud-based hp finite element method

J.T. Oden (1) , C.A.M. Duarte , O.C. Zienkiewicz

1 ICES - Institute for Computational Engineering and Sciences [Austin]

A hybrid computational method for solving boundary-value problems is introduced which combines features of the mesh less hp-cloud methods with features of conventional finite elements. The method admits straightforward nonuniform hp-type approximations, easy implementation of essential boundary conditions, is robust under severe distortions of the mesh, and can deliver exponential rates of convergence. Results of numerical experiments are presented .

Domaines: Mécanique des structures [physics.class-ph]

J.T. Oden, C.A.M. Duarte, O.C. Zienkiewicz. A new cloud-based hp finite element method. Computer Methods in Applied Mechanics and Engineering, 1998, 153 (1-2), pp.117 - 126. ⟨10.1016/S0045-7825(97)00039-X⟩. ⟨hal-01722149⟩