With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.
Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems: Theory, Algorithm, and Applications, ... editors, Proceedings of the 7th International Conference on Numerical Grid Generation in Computational Field Simulations, 2001.
This text is an introduction to methods of grid generation technology in scientific computing.
This volume consists of articles which address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM etc.) and their application in applied mathematics, physics and engineering.
... adaptive solution of conservation laws . In , I. Babuška , J.E. Fla- herty , W.D. Henshaw , J.E. Hopcroft , J.E. Oliger , and T. Tezduyar , editors , Modeling , Mesh Generation , and Adaptive Numerical Methods for Partial Differential ...
... strategies. In D. Caughey (Ed.), Computing the Future (pp. 1–15). New York: Wiley. Blacker, T. D., & Stephenson, M. B. (1991). Paving a new approach to automated quadrilateral mesh generation. International Journal for Numerical Methods ...
... Adaptive Refinements in Finite Element Computations, John Wiley and Sons, 1986. E. RanN and I. BabusNa, An expert system for the optimal mesh design in the hp-version of the finite element method, International Journal for Numerical Methods ...
... mesh design in the hp - version of the finite element method , International Journal for Numerical Methods in ... Differential quadrature method in the buckling analysis of beams and composite plates , Computers and Structures 40 ...
... differential equations and mean curvature flow. Acta Numer. 14, 139–232 (2005) Q.V. Dinh, R. Glowinski, J. P ́eriaux, Applications of domain decomposition techniques to the numerical solution of the Navier–Stokes equations, in Numerical ...
This IMA Volume in Mathematics and its Applications PARALLEL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of a workshop with the same title.