A method for dynamic load balancing of a mesh, wherein the mesh is partitioned to find a solution using a plurality of processors, and wherein the partitions have become unbalanced. The present method allows large portions of the mesh to continue to progress towards a solution by only repartitioning a small percentage of the overall mesh. This is done by stripping cells along the partition interfaces using a marching method to form a free-cell region, repartitioning the free-cell region, and joining the repartitioned portions of the free-cell region with the remaining cells in a manner that will increase the efficiency of the solver.