: L i SS is a very general package for the parallel multigrid solution of nonlinear partial differential equations. This paper gives the reader an impression of what L i SS can do. It includes the description of two important current perspectives, the implementation of adaptive structures and the generalization to 3D. An overview of numerical and parallel results is given. Keywords. Partial differential equations, general domains, multigrid, parallelization, grid partitioning. 1 Introduction The L i SS Package is a package of Fortran programs which provides an environment for the solution of partial differential equations (pdes) on general two-dimensional domains. The distinguishing and unique feature of the package is the core pde solver: it combines the use of fast, efficient multigrid algorithms with the use of block-structured grids; both serial and parallel executable versions are included in a single code. In particular, it is possible to -- execute the code on sequential mac...

This paper describes the development and application of a piece of engineering soft-ware that provides a Problem Solving Environment (PSE) capable of launching, and interfacing with, computational jobs executing on remote resources on a computational Grid. In particular it is demonstrated how a complex, serial, engineering optimisation code may be efficiently parallelised, Grid-enabled and embedded within a PSE. The en-vironment is highly flexible, allowing remote users from different sites to collaborate, and permitting computational tasks to be executed in parallel across multiple Grid re-sources, each of which may be a parallel architecture. A full working prototype has been built and successfully applied to a computationally demanding engineering opti-misation problem. This particular problem stems from elastohydrodynamic lubrication and involves optimising the computational model for a lubricant based on the match between simulation results and experimentally observed data.

Parallelization and scalability issues of a multilevel elastohydrodynamic lubrication solver